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10020100331 = 415912013449
BaseRepresentation
bin10010101010011111…
…01001100011101011
3221212022120211121002
421111033221203223
5131010121202311
64334141305215
7503210306333
oct112517514353
927768524532
1010020100331
1142820a375a
121b3786520b
13c38c07467
146b0ab60c3
153d9a2d93b
hex2553e98eb

10020100331 has 16 divisors (see below), whose sum is σ = 10450188000. Its totient is φ = 9599232000.

The previous prime is 10020100313. The next prime is 10020100421. The reversal of 10020100331 is 13300102001.

It is a cyclic number.

It is not a de Polignac number, because 10020100331 - 226 = 9952991467 is a prime.

It is a super-2 number, since 2×100201003312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10020100301) 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 15 ways as a sum of consecutive naturals, for example, 2903495 + ... + 2906943.

It is an arithmetic number, because the mean of its divisors is an integer number (653136750).

Almost surely, 210020100331 is an apocalyptic number.

10020100331 is a deficient number, since it is larger than the sum of its proper divisors (430087669).

10020100331 is a wasteful number, since it uses less digits than its factorization.

10020100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10020100331 its reverse (13300102001), we get a palindrome (23320202332).

The spelling of 10020100331 in words is "ten billion, twenty million, one hundred thousand, three hundred thirty-one".

Divisors: 1 41 59 1201 2419 3449 49241 70859 141409 203491 2905219 4142249 8343131 169832209 244392691 10020100331