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351144200442013 = 112931139317805859
BaseRepresentation
bin100111111010111010010000…
…1010101010001000010011101
31201001022001120002002201102121
41033311310201111101002131
5332011121310303121023
63242453230240022541
7133651221426411166
oct11765644125210235
91631261502081377
10351144200442013
11a1981467925920
1233472122301a51
13120c19a9c87554
14629d6818c476d
152a8e0ee5c1d5d
hex13f5d2155109d

351144200442013 has 64 divisors (see below), whose sum is σ = 413301740544000. Its totient is φ = 295191587577600.

The previous prime is 351144200441989. The next prime is 351144200442037. The reversal of 351144200442013 is 310244002441153.

It is an interprime number because it is at equal distance from previous prime (351144200441989) and next prime (351144200442037).

It is a cyclic number.

It is not a de Polignac number, because 351144200442013 - 221 = 351144198344861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 351144200442013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351144200442053) 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, 435336078 + ... + 436141936.

It is an arithmetic number, because the mean of its divisors is an integer number (6457839696000).

Almost surely, 2351144200442013 is an apocalyptic number.

It is an amenable number.

351144200442013 is a deficient number, since it is larger than the sum of its proper divisors (62157540101987).

351144200442013 is a wasteful number, since it uses less digits than its factorization.

351144200442013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806386.

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 351144200442013 its reverse (310244002441153), we get a palindrome (661388202883166).

The spelling of 351144200442013 in words is "three hundred fifty-one trillion, one hundred forty-four billion, two hundred million, four hundred forty-two thousand, thirteen".

Divisors: 1 11 29 31 139 317 319 341 899 1529 3487 4031 4309 9193 9827 9889 44063 44341 47399 101123 108097 124961 284983 484693 805859 1277827 1365953 1374571 3134813 8864449 14056097 15025483 23369911 24981629 39612637 112014401 255457303 257069021 274797919 435739007 724467241 1232158411 2810030333 3248417629 3472446431 7408261787 7919176393 7969139651 35508565117 35732593919 38196910741 81490879657 87110940323 100700946499 229656115397 390594216287 1029748388393 1100765518627 1107710411489 2526217269367 11327232272323 12108420704897 31922200040183 351144200442013