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9920033201331 = 3211241510181509
BaseRepresentation
bin1001000001011011000000…
…0011100001110010110011
31022010100100011120222111100
42100112300003201302303
52300012211444420311
633033111135015443
72042461445643501
oct220266003416263
938110304528440
109920033201331
113185076144660
12114269b06a583
1356c5bbb79886
142641bc957671
15123099831a56
hex905b00e1cb3

9920033201331 has 48 divisors (see below), whose sum is σ = 15699698483040. Its totient is φ = 5985947520000.

The previous prime is 9920033201321. The next prime is 9920033201359. The reversal of 9920033201331 is 1331023300299.

It is a happy number.

9920033201331 is a `hidden beast` number, since 9 + 92 + 0 + 0 + 33 + 201 + 331 = 666.

It is not a de Polignac number, because 9920033201331 - 27 = 9920033201203 is a prime.

It is a super-2 number, since 2×99200332013312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9920033201321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121664005 + ... + 121745513.

It is an arithmetic number, because the mean of its divisors is an integer number (327077051730).

Almost surely, 29920033201331 is an apocalyptic number.

9920033201331 is a deficient number, since it is larger than the sum of its proper divisors (5779665281709).

9920033201331 is a wasteful number, since it uses less digits than its factorization.

9920033201331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86868 (or 86865 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 9920033201331 in words is "nine trillion, nine hundred twenty billion, thirty-three million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 241 723 2169 2651 5101 7953 15303 23859 45909 56111 81509 168333 244527 504999 733581 896599 1229341 2689797 3688023 8069391 11064069 13522751 19643669 40568253 58931007 121704759 176793021 216080359 415777409 648241077 1247332227 1944723231 3741996681 4573551499 13720654497 41161963491 100202355569 300607066707 901821200121 1102225911259 3306677733777 9920033201331