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115020234314100 = 223352241117669053
BaseRepresentation
bin11010001001110000111100…
…001101010101000101110100
3120002020211022220002120022000
4122021300330031111011310
5110033442414441022400
61044343322143535300
733140636426230263
oct3211607415250564
9502224286076260
10115020234314100
1133715897776395
1210a978378ba530
134c2449145013b
14205901ab645da
15d46e18536600
hex689c3c355174

115020234314100 has 144 divisors (see below), whose sum is σ = 369922141592640. Its totient is φ = 30659339030400.

The previous prime is 115020234314081. The next prime is 115020234314119. The reversal of 115020234314100 is 1413432020511.

115020234314100 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 202 + 3 + 43 + 1 + 410 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115020234314081) and next prime (115020234314119).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2324827 + ... + 15344226.

It is an arithmetic number, because the mean of its divisors is an integer number (2568903761060).

Almost surely, 2115020234314100 is an apocalyptic number.

115020234314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115020234314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184961070796320).

115020234314100 is an abundant number, since it is smaller than the sum of its proper divisors (254901907278540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115020234314100 is a wasteful number, since it uses less digits than its factorization.

115020234314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17671487 (or 17671474 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 115020234314100 its reverse (1413432020511), we get a palindrome (116433666334611).

The spelling of 115020234314100 in words is "one hundred fifteen trillion, twenty billion, two hundred thirty-four million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2411 2700 4822 7233 9644 12055 14466 21699 24110 28932 36165 43398 48220 60275 65097 72330 86796 108495 120550 130194 144660 180825 216990 241100 260388 325485 361650 433980 542475 650970 723300 1084950 1301940 1627425 2169900 3254850 6509700 17669053 35338106 53007159 70676212 88345265 106014318 159021477 176690530 212028636 265035795 318042954 353381060 441726325 477064431 530071590 636085908 795107385 883452650 954128862 1060143180 1325178975 1590214770 1766905300 1908257724 2385322155 2650357950 3180429540 3975536925 4770644310 5300715900 7951073850 9541288620 11926610775 15902147700 23853221550 42600086783 47706443100 85200173566 127800260349 170400347132 213000433915 255600520698 383400781047 426000867830 511201041396 639001301745 766801562094 852001735660 1065002169575 1150202343141 1278002603490 1533603124188 1917003905235 2130004339150 2300404686282 2556005206980 3195006508725 3834007810470 4260008678300 4600809372564 5751011715705 6390013017450 7668015620940 9585019526175 11502023431410 12780026034900 19170039052350 23004046862820 28755058578525 38340078104700 57510117157050 115020234314100