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10000032013131 = 3171975211910413
BaseRepresentation
bin1001000110000101000001…
…0110110001101101001011
31022101222211102110200120220
42101201100112301231023
52302320031143410011
633133541251121123
72051323054426116
oct221412026615513
938358742420526
1010000032013131
113205a98409a56
1211560a65a31a3
13576cca9868c4
1426800b4a357d
151251ccb68506
hex918505b1b4b

10000032013131 has 32 divisors (see below), whose sum is σ = 14216597955648. Its totient is φ = 6230694113280.

The previous prime is 10000032013039. The next prime is 10000032013141. The reversal of 10000032013131 is 13131023000001.

It is not a de Polignac number, because 10000032013131 - 211 = 10000032011083 is a prime.

It is a super-2 number, since 2×100000320131312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10000032013131.

It is not an unprimeable number, because it can be changed into a prime (10000032013141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4279281 + ... + 6189693.

It is an arithmetic number, because the mean of its divisors is an integer number (444268686114).

Almost surely, 210000032013131 is an apocalyptic number.

10000032013131 is a deficient number, since it is larger than the sum of its proper divisors (4216565942517).

10000032013131 is a wasteful number, since it uses less digits than its factorization.

10000032013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911151.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10000032013131 its reverse (13131023000001), we get a palindrome (23131055013132).

The spelling of 10000032013131 in words is "ten trillion, thirty-two million, thirteen thousand, one hundred thirty-one".

Divisors: 1 3 17 51 197 521 591 1563 3349 8857 10047 26571 102637 307911 1744829 1910413 5234487 5731239 32477021 97431063 376351361 995325173 1129054083 2985975519 6397973137 16920527941 19193919411 50761583823 196079059081 588237177243 3333344004377 10000032013131