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3421312131243 = 3173743227185749
BaseRepresentation
bin110001110010010110000…
…110000010000010101011
3110010002000010101002101010
4301302112012002002223
5422023321401144433
611135421252355003
7502116206166366
oct61622606020253
913102003332333
103421312131243
1110a9a74560786
124730a6615a63
131ba82263a796
14bb84173d0dd
155dee2192e63
hex31c961820ab

3421312131243 has 64 divisors (see below), whose sum is σ = 5098382784000. Its totient is φ = 2031114258432.

The previous prime is 3421312131239. The next prime is 3421312131247.

3421312131243 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3421312131239) and next prime (3421312131247).

It is not a de Polignac number, because 3421312131243 - 22 = 3421312131239 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3421312131243.

It is not an unprimeable number, because it can be changed into a prime (3421312131247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18326133 + ... + 18511881.

It is an arithmetic number, because the mean of its divisors is an integer number (79662231000).

Almost surely, 23421312131243 is an apocalyptic number.

3421312131243 is a deficient number, since it is larger than the sum of its proper divisors (1677070652757).

3421312131243 is a wasteful number, since it uses less digits than its factorization.

3421312131243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186076.

The product of its digits is 10368, while the sum is 30.

The spelling of 3421312131243 in words is "three trillion, four hundred twenty-one billion, three hundred twelve million, one hundred thirty-one thousand, two hundred forty-three".

Divisors: 1 3 17 37 43 51 111 129 227 629 681 731 1591 1887 2193 3859 4773 8399 9761 11577 25197 27047 29283 81141 142783 165937 185749 361157 428349 497811 557247 1083471 3157733 6139669 6872713 7987207 9473199 18419007 20618139 23961621 42165023 116836121 126495069 135782519 295526659 350508363 407347557 716805391 886579977 1560105851 1813095989 2150416173 4680317553 5023953203 5439287967 15071859609 26521799467 30822631813 67084551593 79565398401 92467895439 201253654779 1140437377081 3421312131243