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113322122331 = 31123372191571
BaseRepresentation
bin110100110001010000…
…1100101110001011011
3101211111121120021110220
41221202201211301123
53324040430403311
6124020502211123
711121141101205
oct1514241456133
9354447507426
10113322122331
1144072424860
1219b67423aa3
13a8bc856672
1456b04bb775
152e33aba206
hex1a62865c5b

113322122331 has 96 divisors (see below), whose sum is σ = 178009767936. Its totient is φ = 63472464000.

The previous prime is 113322122327. The next prime is 113322122399. The reversal of 113322122331 is 133221223311.

It is not a de Polignac number, because 113322122331 - 22 = 113322122327 is a prime.

It is a super-2 number, since 2×1133221223312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113322122321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198462276 + ... + 198462846.

It is an arithmetic number, because the mean of its divisors is an integer number (1854268416).

Almost surely, 2113322122331 is an apocalyptic number.

113322122331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113322122331 is a deficient number, since it is larger than the sum of its proper divisors (64687645605).

113322122331 is a wasteful number, since it uses less digits than its factorization.

113322122331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 836 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 113322122331 its reverse (133221223311), we get a palindrome (246543345642).

The spelling of 113322122331 in words is "one hundred thirteen billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 11 23 33 37 69 111 191 253 407 571 573 759 851 1221 1369 1713 2101 2553 4107 4393 6281 6303 7067 9361 13133 13179 15059 18843 21127 21201 28083 31487 39399 45177 48323 63381 77737 94461 109061 144463 144969 162541 232397 233211 261479 327183 346357 433389 485921 487623 697191 781699 784437 1039071 1199671 1457763 1787951 2345097 2508403 2876269 3599013 4035257 5345131 5363853 6014017 7525209 8598689 8628807 12105771 16035393 17979077 18042051 25796067 27592433 44387827 53937231 66154187 82777299 92810911 133163481 149304509 197769847 198462561 278432733 447913527 593309541 1020920021 1642349599 3062760063 3434003707 4927048797 10302011121 37774040777 113322122331