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10131319631323 = 1119148387326681
BaseRepresentation
bin1001001101101110000110…
…1101010010110111011011
31022212112201002021201022101
42103123201231102313123
52311442420311200243
633314133004304231
72063651354654302
oct223334155226733
938775632251271
1010131319631323
113256739899750
121177626542077
135864c154c697
14270503989439
15128813a7354d
hex936e1b52ddb

10131319631323 has 16 divisors (see below), whose sum is σ = 11634165267840. Its totient is φ = 8725452926400.

The previous prime is 10131319631299. The next prime is 10131319631339. The reversal of 10131319631323 is 32313691313101.

It is a cyclic number.

It is not a de Polignac number, because 10131319631323 - 25 = 10131319631291 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131319631023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30849543 + ... + 31176223.

It is an arithmetic number, because the mean of its divisors is an integer number (727135329240).

Almost surely, 210131319631323 is an apocalyptic number.

10131319631323 is a deficient number, since it is larger than the sum of its proper divisors (1502845636517).

10131319631323 is a wasteful number, since it uses less digits than its factorization.

10131319631323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475098.

The product of its (nonzero) digits is 26244, while the sum is 37.

The spelling of 10131319631323 in words is "ten trillion, one hundred thirty-one billion, three hundred nineteen million, six hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 11 19 209 148387 326681 1632257 2819353 3593491 6206939 31012883 68276329 48475213547 533227349017 921029057393 10131319631323