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133031222031 = 3263625726947
BaseRepresentation
bin111101111100101000…
…1110101101100001111
3110201101011201021112110
41323321101311230033
54134421443101111
6141040320435103
712416431505241
oct1737121655417
9421334637473
10133031222031
1151466725104
1221947a78a93
13c710b9b336
14661dcbc091
1536d90235a6
hex1ef9475b0f

133031222031 has 16 divisors (see below), whose sum is σ = 178084456704. Its totient is φ = 88332868224.

The previous prime is 133031221969. The next prime is 133031222047. The reversal of 133031222031 is 130222130331.

It is not a de Polignac number, because 133031222031 - 223 = 133022833423 is a prime.

It is a super-2 number, since 2×1330312220312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133031221989 and 133031222007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133031222081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4923300 + ... + 4950246.

It is an arithmetic number, because the mean of its divisors is an integer number (11130278544).

Almost surely, 2133031222031 is an apocalyptic number.

133031222031 is a deficient number, since it is larger than the sum of its proper divisors (45053234673).

133031222031 is a wasteful number, since it uses less digits than its factorization.

133031222031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33470.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133031222031 its reverse (130222130331), we get a palindrome (263253352362).

The spelling of 133031222031 in words is "one hundred thirty-three billion, thirty-one million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 3 263 789 6257 18771 26947 80841 1645591 4936773 7087061 21261183 168607379 505822137 44343740677 133031222031