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131423402501505 = 3254777937973659
BaseRepresentation
bin11101111000011101100101…
…001110001010010110000001
3122020022221202212221100002200
4131320131211032022112001
5114211220112020022010
61143303024433303413
736453012300302052
oct3570354516122601
9566287685840080
10131423402501505
113896a396569254
12128a689b704b69
13584423475728a
142464cd890c729
15102d957022cc0
hex77876538a581

131423402501505 has 48 divisors (see below), whose sum is σ = 232677267413760. Its totient is φ = 68592340422144.

The previous prime is 131423402501483. The next prime is 131423402501557. The reversal of 131423402501505 is 505105204324131.

131423402501505 is a `hidden beast` number, since 1 + 3 + 14 + 2 + 340 + 250 + 1 + 50 + 5 = 666.

It is not a de Polignac number, because 131423402501505 - 28 = 131423402501249 is a prime.

It is a super-2 number, since 2×1314234025015052 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131423402501505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12495366 + ... + 20469024.

It is an arithmetic number, because the mean of its divisors is an integer number (4847443071120).

Almost surely, 2131423402501505 is an apocalyptic number.

131423402501505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131423402501505 is a deficient number, since it is larger than the sum of its proper divisors (101253864912255).

131423402501505 is a wasteful number, since it uses less digits than its factorization.

131423402501505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7981510 (or 7981507 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 131423402501505 its reverse (505105204324131), we get a palindrome (636528606825636).

The spelling of 131423402501505 in words is "one hundred thirty-one trillion, four hundred twenty-three billion, four hundred two million, five hundred one thousand, five hundred five".

Divisors: 1 3 5 9 15 45 47 141 235 423 705 2115 7793 23379 38965 70137 116895 350685 366271 1098813 1831355 3296439 5494065 7973659 16482195 23920977 39868295 71762931 119604885 358814655 374761973 1124285919 1873809865 3372857757 5621429595 16864288785 62138724587 186416173761 310693622935 559248521283 932080868805 2796242606415 2920520055589 8761560166767 14602600277945 26284680500301 43807800833835 131423402501505