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133204242402331 = 73137157739114797
BaseRepresentation
bin11110010010011000000111…
…100011010000110000011011
3122110122012102200101121122121
4132102120013203100300123
5114424404242023333311
61151145103441002111
740025455205555512
oct3622300743206033
9573565380347577
10133204242402331
1139496669232831
1212b33a5b323337
13594314c308099
1424c7196789679
15105ee34919b71
hex7926078d0c1b

133204242402331 has 32 divisors (see below), whose sum is σ = 137067324217920. Its totient is φ = 129413362231296.

The previous prime is 133204242402307. The next prime is 133204242402373.

133204242402331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 133204242402331 - 227 = 133204108184603 is a prime.

It is a super-2 number, since 2×1332042424023312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133204642402331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160288625 + ... + 1160403421.

It is an arithmetic number, because the mean of its divisors is an integer number (4283353881810).

Almost surely, 2133204242402331 is an apocalyptic number.

133204242402331 is a deficient number, since it is larger than the sum of its proper divisors (3863081815589).

133204242402331 is a wasteful number, since it uses less digits than its factorization.

133204242402331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115903.

The product of its (nonzero) digits is 82944, while the sum is 34.

The spelling of 133204242402331 in words is "one hundred thirty-three trillion, two hundred four billion, two hundred forty-two million, four hundred two thousand, three hundred thirty-one".

Divisors: 1 73 137 157 739 10001 11461 21509 53947 101243 114797 116023 1570157 7390739 8380181 8469679 15727189 15895151 18023129 84834983 1148084797 1160346023 1315688417 2469168673 6192953759 11622392671 13319092331 180249313129 848434664983 972293740163 1824715649347 133204242402331