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100314140430 = 235717251111949
BaseRepresentation
bin101110101101100110…
…0000100111100001110
3100120221001202022220110
41131123030010330032
53120420404443210
6114030024100450
710150610060550
oct1353314047416
9316831668813
10100314140430
11395a7798499
1217537004726
1395c891b85a
144bd8a754d0
152921add420
hex175b304f0e

100314140430 has 128 divisors (see below), whose sum is σ = 292495795200. Its totient is φ = 21494016000.

The previous prime is 100314140429. The next prime is 100314140431. The reversal of 100314140430 is 34041413001.

It is an interprime number because it is at equal distance from previous prime (100314140429) and next prime (100314140431).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100314140397 and 100314140406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314140431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840096 + ... + 952044.

It is an arithmetic number, because the mean of its divisors is an integer number (2285123400).

Almost surely, 2100314140430 is an apocalyptic number.

100314140430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100314140430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146247897600).

100314140430 is an abundant number, since it is smaller than the sum of its proper divisors (192181654770).

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

100314140430 is a wasteful number, since it uses less digits than its factorization.

100314140430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112234.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100314140430 its reverse (34041413001), we get a palindrome (134355553431).

The spelling of 100314140430 in words is "one hundred billion, three hundred fourteen million, one hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 251 255 357 502 510 595 714 753 1190 1255 1506 1757 1785 2510 3514 3570 3765 4267 5271 7530 8534 8785 10542 12801 17570 21335 25602 26355 29869 42670 52710 59738 64005 89607 111949 128010 149345 179214 223898 298690 335847 448035 559745 671694 783643 896070 1119490 1567286 1679235 1903133 2350929 3358470 3806266 3918215 4701858 5709399 7836430 9515665 11418798 11754645 13321931 19031330 23509290 26643862 28099199 28546995 39965793 56198398 57093990 66609655 79931586 84297597 133219310 140495995 168595194 196694393 199828965 280991990 393388786 399657930 421487985 477686383 590083179 842975970 955372766 983471965 1180166358 1433059149 1966943930 2388431915 2866118298 2950415895 3343804681 4776863830 5900831790 6687609362 7165295745 10031414043 14330591490 16719023405 20062828086 33438046810 50157070215 100314140430