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101322311213031 = 3257983133689467
BaseRepresentation
bin10111000010011011110000…
…010111100001111111100111
3111021202022121002011001000020
4113002123300113201333213
5101240031043132304111
6555254454401050223
730225203220043146
oct2702336027417747
9437668532131006
10101322311213031
112a3146072379a7
12b444b39026973
13446c8646b7b8c
141b040515cd75d
15baa95c2e9906
hex5c26f05e1fe7

101322311213031 has 16 divisors (see below), whose sum is σ = 135760050480384. Its totient is φ = 67216924473344.

The previous prime is 101322311212943. The next prime is 101322311213051. The reversal of 101322311213031 is 130312113223101.

It is a cyclic number.

It is not a de Polignac number, because 101322311213031 - 211 = 101322311210983 is a prime.

It is a super-2 number, since 2×1013223112130312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101322311212992 and 101322311213010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322311213051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66086841 + ... + 67602626.

It is an arithmetic number, because the mean of its divisors is an integer number (8485003155024).

Almost surely, 2101322311213031 is an apocalyptic number.

101322311213031 is a deficient number, since it is larger than the sum of its proper divisors (34437739267353).

101322311213031 is a wasteful number, since it uses less digits than its factorization.

101322311213031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133690710.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101322311213031 its reverse (130312113223101), we get a palindrome (231634424436132).

The spelling of 101322311213031 in words is "one hundred one trillion, three hundred twenty-two billion, three hundred eleven million, two hundred thirteen thousand, thirty-one".

Divisors: 1 3 257 771 983 2949 252631 757893 133689467 401068401 34358193019 103074579057 131416746061 394250238183 33774103737677 101322311213031