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10131332022234 = 23462539086557
BaseRepresentation
bin1001001101101110001001…
…1100100011111111011010
31022212112201221121020110000
42103123202130203333122
52311442431444202414
633314134130033430
72063651565202353
oct223334234437732
938775657536400
1010131332022234
113256745892175
12117762a718876
135864c3c9a597
14270505492d2a
15128814bbeb09
hex936e2723fda

10131332022234 has 20 divisors (see below), whose sum is σ = 22701688420554. Its totient is φ = 3377110674024.

The previous prime is 10131332022221. The next prime is 10131332022269. The reversal of 10131332022234 is 43222023313101.

10131332022234 is a `hidden beast` number, since 1 + 0 + 1 + 313 + 320 + 2 + 2 + 23 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8562207515625 + 1569124506609 = 2926125^2 + 1252647^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10131332022198 and 10131332022207.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31269543117 + ... + 31269543440.

Almost surely, 210131332022234 is an apocalyptic number.

10131332022234 is an abundant number, since it is smaller than the sum of its proper divisors (12570356398320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10131332022234 is an equidigital number, since it uses as much as digits as its factorization.

10131332022234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62539086571 (or 62539086562 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10131332022234 its reverse (43222023313101), we get a palindrome (53353355335335).

The spelling of 10131332022234 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-two million, twenty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 62539086557 125078173114 187617259671 375234519342 562851779013 1125703558026 1688555337039 3377110674078 5065666011117 10131332022234