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117031207152 = 24317538332603
BaseRepresentation
bin110110011111110011…
…0101000000011110000
3102012002002212022022210
41230333212220003300
53404134442112102
6125432520532120
711312066563446
oct1547746500360
9365062768283
10117031207152
11456a607a112
121a821621040
13b06110b402
145942d44b96
15309e52836c
hex1b3f9a80f0

117031207152 has 160 divisors (see below), whose sum is σ = 330094372608. Its totient is φ = 35587821568.

The previous prime is 117031207129. The next prime is 117031207159. The reversal of 117031207152 is 251702130711.

It is a super-2 number, since 2×1170312071522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117031207159) 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 31 ways as a sum of consecutive naturals, for example, 3573283 + ... + 3605885.

Almost surely, 2117031207152 is an apocalyptic number.

117031207152 is a gapful number since it is divisible by the number (12) 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 117031207152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165047186304).

117031207152 is an abundant number, since it is smaller than the sum of its proper divisors (213063165456).

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

117031207152 is a wasteful number, since it uses less digits than its factorization.

117031207152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32767 (or 32761 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

Adding to 117031207152 its reverse (251702130711), we get a palindrome (368733337863).

The spelling of 117031207152 in words is "one hundred seventeen billion, thirty-one million, two hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 83 102 106 136 159 166 204 212 249 272 318 332 408 424 498 636 664 816 848 901 996 1272 1328 1411 1802 1992 2544 2703 2822 3604 3984 4233 4399 5406 5644 7208 8466 8798 10812 11288 13197 14416 16932 17596 21624 22576 26394 32603 33864 35192 43248 52788 65206 67728 70384 74783 97809 105576 130412 149566 195618 211152 224349 260824 299132 391236 448698 521648 554251 598264 782472 897396 1108502 1196528 1564944 1662753 1727959 1794792 2217004 2706049 3325506 3455918 3589584 4434008 5183877 5412098 6651012 6911836 8118147 8868016 10367754 10824196 13302024 13823672 16236294 20735508 21648392 26604048 27647344 29375303 32472588 41471016 43296784 46002833 58750606 64945176 82942032 88125909 92005666 117501212 129890352 138008499 143420597 176251818 184011332 235002424 276016998 286841194 352503636 368022664 430261791 470004848 552033996 573682388 705007272 736045328 860523582 1104067992 1147364776 1410014544 1721047164 2208135984 2294729552 2438150149 3442094328 4876300298 6884188656 7314450447 9752600596 14628900894 19505201192 29257801788 39010402384 58515603576 117031207152