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345602503016301 = 34143733347267439
BaseRepresentation
bin100111010010100101101101…
…0011011001111111101101101
31200022200021110122201011221110
41032211023122123033331231
5330244322411233010201
63223011333103422233
7132536646126454506
oct11645133233177555
91608607418634843
10345602503016301
11a0135220128863
12329180b6bb4979
1311aac23a13836b
14614b371135bad
1529e4daa73e6d6
hex13a52da6cff6d

345602503016301 has 64 divisors (see below), whose sum is σ = 489785011752960. Its totient is φ = 216481518812160.

The previous prime is 345602503016299. The next prime is 345602503016311. The reversal of 345602503016301 is 103610305206543.

It is not a de Polignac number, because 345602503016301 - 21 = 345602503016299 is a prime.

It is a super-2 number, since 2×3456025030163012 (a number of 30 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 345602503016301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345602503016311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1292132940 + ... + 1292400378.

It is an arithmetic number, because the mean of its divisors is an integer number (7652890808640).

Almost surely, 2345602503016301 is an apocalyptic number.

It is an amenable number.

345602503016301 is a deficient number, since it is larger than the sum of its proper divisors (144182508736659).

345602503016301 is a wasteful number, since it uses less digits than its factorization.

345602503016301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270946.

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 345602503016301 in words is "three hundred forty-five trillion, six hundred two billion, five hundred three million, sixteen thousand, three hundred one".

Divisors: 1 3 41 43 73 123 129 219 1763 2993 3139 3347 5289 8979 9417 10041 128699 137227 143921 244331 267439 386097 411681 431763 732993 802317 5900761 10017571 10506233 10964999 11499877 17702283 19523047 30052713 31518699 32894997 34499631 58569141 430755553 471494957 800444927 839491021 895118333 1292266659 1414484871 2401334781 2518473063 2685354999 34419131861 36699851653 38490088319 65343638309 103257395583 110099554959 115470264957 196030914927 1578093621079 2679089170669 2809776447287 4734280863237 8037267512007 8429329341861 115200834338767 345602503016301