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133123211126631 = 32119239145543771
BaseRepresentation
bin11110010001001100101001…
…101101011110011101100111
3122110100110021110202022100100
4132101030221231132131213
5114422042314022023011
61151043543043315143
740016556162232305
oct3621145155363547
9573313243668310
10133123211126631
1139465267190a90
1212b2020607bab3
13593860763557b
1424c32aaa81275
15105cc90b3cd56
hex791329b5e767

133123211126631 has 24 divisors (see below), whose sum is σ = 209792614711680. Its totient is φ = 80672000835600.

The previous prime is 133123211126629. The next prime is 133123211126669. The reversal of 133123211126631 is 136621112321331.

133123211126631 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 3 + 2 + 1 + 1 + 12 + 6 + 631 = 666.

It is not a de Polignac number, because 133123211126631 - 21 = 133123211126629 is a prime.

It is a super-2 number, since 2×1331232111266312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133123211128631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71857225 + ... + 73686546.

It is an arithmetic number, because the mean of its divisors is an integer number (8741358946320).

Almost surely, 2133123211126631 is an apocalyptic number.

133123211126631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133123211126631 is a deficient number, since it is larger than the sum of its proper divisors (76669403585049).

133123211126631 is a wasteful number, since it uses less digits than its factorization.

133123211126631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145553027 (or 145553024 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

Adding to 133123211126631 its reverse (136621112321331), we get a palindrome (269744323447962).

The spelling of 133123211126631 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, two hundred eleven million, one hundred twenty-six thousand, six hundred thirty-one".

Divisors: 1 3 9 11 33 99 9239 27717 83151 101629 304887 914661 145543771 436631313 1309893939 1600981481 4802944443 14408833329 1344678900269 4034036700807 12102110102421 14791467902959 44374403708877 133123211126631