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2131021360944 = 243372792515077
BaseRepresentation
bin11111000000101010110…
…001010110111100110000
321112201112112122121102000
4133000222301112330300
5234403312432022234
64310551103254000
7306650460461100
oct37005261267460
97481475577360
102131021360944
11751841003573
122a500a8aa300
13125c53c14a98
14751db867200
153a675841899
hex1f02ac56f30

2131021360944 has 480 divisors, whose sum is σ = 7235686886400. Its totient is φ = 598643136000.

The previous prime is 2131021360939. The next prime is 2131021360997. The reversal of 2131021360944 is 4490631201312.

2131021360944 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 2 + 1 + 3 + 609 + 44 = 666.

It is a super-2 number, since 2×21310213609442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2131021360899 and 2131021360908.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419737734 + ... + 419742810.

It is an arithmetic number, because the mean of its divisors is an integer number (15074347680).

Almost surely, 22131021360944 is an apocalyptic number.

2131021360944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131021360944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617843443200).

2131021360944 is an abundant number, since it is smaller than the sum of its proper divisors (5104665525456).

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

2131021360944 is a wasteful number, since it uses less digits than its factorization.

2131021360944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2131021360944 in words is "two trillion, one hundred thirty-one billion, twenty-one million, three hundred sixty thousand, nine hundred forty-four".