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2145520931319 = 331723203232067
BaseRepresentation
bin11111001110001011000…
…000110101000111110111
321121002222001011002201000
4133032023000311013313
5240123011324300234
64321345543334343
7311003003004033
oct37161300650767
97532861132630
102145520931319
11757a016a5387
122a79967513b3
13127424b8831c
1475bb54231c3
153ac23755899
hex1f38b0351f7

2145520931319 has 32 divisors (see below), whose sum is σ = 3511850135040. Its totient is φ = 1287678370176.

The previous prime is 2145520931317. The next prime is 2145520931329. The reversal of 2145520931319 is 9131390255412.

2145520931319 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 520 + 93 + 1 + 31 + 9 = 666.

It is not a de Polignac number, because 2145520931319 - 21 = 2145520931317 is a prime.

It is a super-2 number, since 2×21455209313192 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145520931317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101605477 + ... + 101626590.

It is an arithmetic number, because the mean of its divisors is an integer number (109745316720).

Almost surely, 22145520931319 is an apocalyptic number.

2145520931319 is a deficient number, since it is larger than the sum of its proper divisors (1366329203721).

2145520931319 is a wasteful number, since it uses less digits than its factorization.

2145520931319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203232116 (or 203232110 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 2145520931319 in words is "two trillion, one hundred forty-five billion, five hundred twenty million, nine hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 3 9 17 23 27 51 69 153 207 391 459 621 1173 3519 10557 203232067 609696201 1829088603 3454945139 4674337541 5487265809 10364835417 14023012623 31094506251 42069037869 79463738197 93283518753 126207113607 238391214591 715173643773 2145520931319