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351145121343220 = 225113574127063917
BaseRepresentation
bin100111111010111010101100…
…0001110001110011011110100
31201001022010221020221100101201
41033311311120032032123310
5332011130202030440340
63242453501454102244
7133651253311061311
oct11765653016163364
91631263836840351
10351145121343220
11a198189a7335a6
123347233a7aa984
13120c1ac59bb5c9
14629d72bd21d08
152a8e15537b79a
hex13f5d5838e6f4

351145121343220 has 48 divisors (see below), whose sum is σ = 744060070142928. Its totient is φ = 139190802544640.

The previous prime is 351145121343139. The next prime is 351145121343253. The reversal of 351145121343220 is 22343121541153.

It can be written as a sum of positive squares in 8 ways, for example, as 56955458109456 + 294189663233764 = 7546884^2 + 17151958^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 351145121343220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557299 + ... + 26506618.

It is an arithmetic number, because the mean of its divisors is an integer number (15501251461311).

Almost surely, 2351145121343220 is an apocalyptic number.

It is an amenable number.

351145121343220 is an abundant number, since it is smaller than the sum of its proper divisors (392914948799708).

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

351145121343220 is a wasteful number, since it uses less digits than its factorization.

351145121343220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27069780 (or 27069778 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 351145121343220 its reverse (22343121541153), we get a palindrome (373488242884373).

The spelling of 351145121343220 in words is "three hundred fifty-one trillion, one hundred forty-five billion, one hundred twenty-one million, three hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 5741 11482 22964 28705 57410 114820 648733 1297466 2594932 3243665 6487330 12974660 27063917 54127834 108255668 135319585 270639170 541278340 3058222621 6116445242 12232890484 15291113105 30582226210 61164452420 155373947497 310747894994 621495789988 776869737485 1553739474970 3107478949940 17557256067161 35114512134322 70229024268644 87786280335805 175572560671610 351145121343220