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10021033231 = 1117234789557
BaseRepresentation
bin10010101010100110…
…01101010100001111
3221212101100020021221
421111103031110033
5131010341030411
64334213304211
7503221243216
oct112523152417
927771306257
1010021033231
114282680650
121b38035067
13c39172c81
146b0c7a07d
153d9b65071
hex2554cd50f

10021033231 has 64 divisors (see below), whose sum is σ = 12496343040. Its totient is φ = 7922421760.

The previous prime is 10021033199. The next prime is 10021033273. The reversal of 10021033231 is 13233012001.

10021033231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10021033231 - 25 = 10021033199 is a prime.

It is a super-2 number, since 2×100210332312 (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 (10021033031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17990805 + ... + 17991361.

It is an arithmetic number, because the mean of its divisors is an integer number (195255360).

Almost surely, 210021033231 is an apocalyptic number.

10021033231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10021033231 is a deficient number, since it is larger than the sum of its proper divisors (2475309809).

10021033231 is a wasteful number, since it uses less digits than its factorization.

10021033231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10021033231 its reverse (13233012001), we get a palindrome (23254045232).

The spelling of 10021033231 in words is "ten billion, twenty-one million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 11 17 23 47 89 187 253 391 517 557 799 979 1081 1513 2047 4183 4301 6127 8789 9469 11891 12811 16643 18377 22517 26179 34799 46013 49573 71111 96209 104159 140921 202147 217787 287969 382789 445043 545303 602117 782221 842741 1058299 1140179 1635553 2329931 2395657 4895473 6623287 9270151 10235989 12541969 17991083 19383043 25629241 39608827 53588413 112595879 213213473 435697097 589472543 911003021 10021033231