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155230332314100 = 2235215725113130521
BaseRepresentation
bin100011010010111001100000…
…110100001110000111110100
3202100121212121202110210221220
4203102321200310032013310
5130321243210033022400
61310051455153310340
744461010225655261
oct4322714064160764
9670555552423856
10155230332314100
11455088a58214aa
12154b08182653b0
1368802081175a4
142a4928c4b4268
1512e2d6ce927a0
hex8d2e60d0e1f4

155230332314100 has 144 divisors (see below), whose sum is σ = 453794621910336. Its totient is φ = 40967222400000.

The previous prime is 155230332314089. The next prime is 155230332314107. The reversal of 155230332314100 is 1413233032551.

It is a super-2 number, since 2×1552303323141002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155230332314107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5256840 + ... + 18387360.

It is an arithmetic number, because the mean of its divisors is an integer number (3151351541044).

Almost surely, 2155230332314100 is an apocalyptic number.

155230332314100 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 155230332314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226897310955168).

155230332314100 is an abundant number, since it is smaller than the sum of its proper divisors (298564289596236).

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

155230332314100 is a wasteful number, since it uses less digits than its factorization.

155230332314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13130946 (or 13130939 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 155230332314100 its reverse (1413233032551), we get a palindrome (156643565346651).

The spelling of 155230332314100 in words is "one hundred fifty-five trillion, two hundred thirty billion, three hundred thirty-two million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 251 300 314 471 502 628 753 785 942 1004 1255 1506 1570 1884 2355 2510 3012 3140 3765 3925 4710 5020 6275 7530 7850 9420 11775 12550 15060 15700 18825 23550 25100 37650 39407 47100 75300 78814 118221 157628 197035 236442 394070 472884 591105 788140 985175 1182210 1970350 2364420 2955525 3940700 5911050 11822100 13130521 26261042 39391563 52522084 65652605 78783126 131305210 157566252 196957815 262610420 328263025 393915630 656526050 787831260 984789075 1313052100 1969578150 2061491797 3295760771 3939156300 4122983594 6184475391 6591521542 8245967188 9887282313 10307458985 12368950782 13183043084 16478803855 19774564626 20614917970 24737901564 30922376955 32957607710 39549129252 41229835940 49436411565 51537294925 61844753910 65915215420 82394019275 98872823130 103074589850 123689507820 154611884775 164788038550 197745646260 206149179700 247182057825 309223769550 329576077100 494364115650 517434441047 618447539100 988728231300 1034868882094 1552303323141 2069737764188 2587172205235 3104606646282 5174344410470 6209213292564 7761516615705 10348688820940 12935861026175 15523033231410 25871722052350 31046066462820 38807583078525 51743444104700 77615166157050 155230332314100