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10031043302013 = 3294321158721649
BaseRepresentation
bin1001000111111000100011…
…0001011101001001111101
31022111221212122200101111210
42101332020301131021331
52303322034041131023
633200110410435033
72053501414144056
oct221761061351175
938457778611453
1010031043302013
113218161487318
121160100132a79
13579c0070c296
1426970dd5772d
15125de5453593
hex91f88c5d27d

10031043302013 has 64 divisors (see below), whose sum is σ = 14249676672000. Its totient is φ = 6265734773760.

The previous prime is 10031043301973. The next prime is 10031043302041. The reversal of 10031043302013 is 31020334013001.

It is not a de Polignac number, because 10031043302013 - 210 = 10031043300989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031043302213) 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 63 ways as a sum of consecutive naturals, for example, 463338213 + ... + 463359861.

It is an arithmetic number, because the mean of its divisors is an integer number (222651198000).

Almost surely, 210031043302013 is an apocalyptic number.

It is an amenable number.

10031043302013 is a deficient number, since it is larger than the sum of its proper divisors (4218633369987).

10031043302013 is a wasteful number, since it uses less digits than its factorization.

10031043302013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22522.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10031043302013 its reverse (31020334013001), we get a palindrome (41051377315014).

The spelling of 10031043302013 in words is "ten trillion, thirty-one billion, forty-three million, three hundred two thousand, thirteen".

Divisors: 1 3 29 43 87 129 211 587 633 1247 1761 3741 6119 9073 17023 18357 21649 25241 27219 51069 64947 75723 123857 263117 371571 627821 731989 789351 930907 1883463 2195967 2792721 3591853 4567939 5325851 10775559 12707963 13703817 15977553 26996303 38123889 80988909 132470231 154449679 196421377 368530927 397410693 463349037 546442409 589264131 1105592781 1639327227 2681380193 5696219933 8044140579 15846829861 17088659799 47540489583 77760025597 115299348299 233280076791 345898044897 3343681100671 10031043302013