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133122213013031 = 11181191350062751
BaseRepresentation
bin11110010001001011101110…
…001101111110011000100111
3122110100100200220121212212222
4132101023232031332120213
5114422033243012404111
61151043300030302555
740016522352346154
oct3621135615763047
9573310626555788
10133122213013031
11394648a4836510
1212b1bb87957a5b
1359384a8908bc8
1424c32142a522b
15105cc331d07db
hex7912ee37e627

133122213013031 has 16 divisors (see below), whose sum is σ = 146791113670656. Its totient is φ = 119721460500000.

The previous prime is 133122213013021. The next prime is 133122213013051. The reversal of 133122213013031 is 130310312221331.

It is a cyclic number.

It is not a de Polignac number, because 133122213013031 - 222 = 133122208818727 is a prime.

It is a super-2 number, since 2×1331222130130312 (a number of 29 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 (133122213013021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174651095 + ... + 175411656.

It is an arithmetic number, because the mean of its divisors is an integer number (9174444604416).

Almost surely, 2133122213013031 is an apocalyptic number.

133122213013031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133122213013031 is a deficient number, since it is larger than the sum of its proper divisors (13668900657625).

133122213013031 is a wasteful number, since it uses less digits than its factorization.

133122213013031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350063134.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 133122213013031 its reverse (130310312221331), we get a palindrome (263432525234362).

The spelling of 133122213013031 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, two hundred thirteen million, thirteen thousand, thirty-one".

Divisors: 1 11 181 191 1991 2101 34571 380281 350062751 3850690261 63361357931 66861985441 696974937241 735481839851 12102019364821 133122213013031