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10430131319 = 319710873191
BaseRepresentation
bin10011011011010111…
…10010110001110111
3222220220010120100222
421231223302301313
5132330103200234
64442545524555
7516316440056
oct115553626167
928826116328
1010430131319
1144725a0043
12203104375b
13ca2b4b74a
1470d32c39d
15410a2442e
hex26daf2c77

10430131319 has 16 divisors (see below), whose sum is σ = 10891001856. Its totient is φ = 9977299200.

The previous prime is 10430131307. The next prime is 10430131331. The reversal of 10430131319 is 91313103401.

It is an interprime number because it is at equal distance from previous prime (10430131307) and next prime (10430131331).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10430131319 is a prime.

It is a super-2 number, since 2×104301313192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10430131519) 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, 3267014 + ... + 3270204.

It is an arithmetic number, because the mean of its divisors is an integer number (680687616).

Almost surely, 210430131319 is an apocalyptic number.

10430131319 is a deficient number, since it is larger than the sum of its proper divisors (460870537).

10430131319 is a wasteful number, since it uses less digits than its factorization.

10430131319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 10430131319 in words is "ten billion, four hundred thirty million, one hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 31 97 1087 3007 3191 33697 98921 105439 309527 3268609 3468617 9595337 107527127 336455849 10430131319