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131132003322411 = 33713371442453479
BaseRepresentation
bin11101110100001110001100…
…011110100000101000101011
3122012022002121202222021121000
4131310032030132200220223
5114141431320322304121
61142521113301450043
736422655200165130
oct3564161436405053
9565262552867530
10131132003322411
11388678522a9003
121285a316710923
135822905793c10
142454b73b92587
15102609e990526
hex77438c7a0a2b

131132003322411 has 64 divisors (see below), whose sum is σ = 245563280435200. Its totient is φ = 67299109469568.

The previous prime is 131132003322361. The next prime is 131132003322443. The reversal of 131132003322411 is 114223300231131.

131132003322411 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 320 + 0 + 3 + 322 + 4 + 11 = 666.

It is not a de Polignac number, because 131132003322411 - 215 = 131132003289643 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (131132003322911) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 721135831 + ... + 721317648.

It is an arithmetic number, because the mean of its divisors is an integer number (3836926256800).

Almost surely, 2131132003322411 is an apocalyptic number.

131132003322411 is a deficient number, since it is larger than the sum of its proper divisors (114431277112789).

131132003322411 is a wasteful number, since it uses less digits than its factorization.

131132003322411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442453545 (or 1442453539 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131132003322411 its reverse (114223300231131), we get a palindrome (245355303553542).

The spelling of 131132003322411 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, three million, three hundred twenty-two thousand, four hundred eleven".

Divisors: 1 3 7 9 13 21 27 37 39 63 91 111 117 189 259 273 333 351 481 777 819 999 1443 2331 2457 3367 4329 6993 10101 12987 30303 90909 1442453479 4327360437 10097174353 12982081311 18751895227 30291523059 38946243933 53370778723 56255685681 90874569177 131263266589 160112336169 168767057043 272623707531 373595451061 393789799767 480337008507 506301171129 693820123399 1120786353183 1181369399301 1441011025521 2081460370197 3362359059549 3544108197903 4856740863793 6244381110591 10087077178647 14570222591379 18733143331773 43710667774137 131132003322411