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101332043123031 = 32711091450356293
BaseRepresentation
bin10111000010100100110100…
…011011110100100101010111
3111021210020201022110021210100
4113002210310123310211113
5101240211011014414111
6555303144205425143
730225666330650460
oct2702446433644527
9437706638407710
10101332043123031
112a318750692a26
12b4469b426b1b3
13447075599a9c6
141b046d5cc7d67
15baad2b89d756
hex5c29346f4957

101332043123031 has 24 divisors (see below), whose sum is σ = 167429130579360. Its totient is φ = 57851811775296.

The previous prime is 101332043122987. The next prime is 101332043123041. The reversal of 101332043123031 is 130321340233101.

101332043123031 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 320 + 4 + 31 + 2 + 303 + 1 = 666.

It is not a de Polignac number, because 101332043123031 - 26 = 101332043122967 is a prime.

It is a super-2 number, since 2×1013320431230312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101332043122986 and 101332043123004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101332043123041) 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, 725108280 + ... + 725248013.

It is an arithmetic number, because the mean of its divisors is an integer number (6976213774140).

Almost surely, 2101332043123031 is an apocalyptic number.

101332043123031 is a deficient number, since it is larger than the sum of its proper divisors (66097087456329).

101332043123031 is a wasteful number, since it uses less digits than its factorization.

101332043123031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450357415 (or 1450357412 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101332043123031 its reverse (130321340233101), we get a palindrome (231653383356132).

The spelling of 101332043123031 in words is "one hundred one trillion, three hundred thirty-two billion, forty-three million, one hundred twenty-three thousand, thirty-one".

Divisors: 1 3 7 9 21 63 1109 3327 7763 9981 23289 69867 1450356293 4351068879 10152494051 13053206637 30457482153 91372446459 1608445128937 4825335386811 11259115902559 14476006160433 33777347707677 101332043123031