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101123013231213 = 35316991850320231
BaseRepresentation
bin10110111111100010001001…
…010010000100001001101101
3111021001021011122211120102020
4112333202021102010021231
5101223244412341344323
6555023134305420353
730204616352124321
oct2677421122041155
9437037148746366
10101123013231213
112a248035774416
12b41239863a6b9
134456b2296389c
141ad854684d981
15ba56957e5ae3
hex5bf88948426d

101123013231213 has 32 divisors (see below), whose sum is σ = 137469739161600. Its totient is φ = 66097583872320.

The previous prime is 101123013231131. The next prime is 101123013231257. The reversal of 101123013231213 is 312132310321101.

It is not a de Polignac number, because 101123013231213 - 226 = 101122946122349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123013231113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4998408808 + ... + 4998429038.

It is an arithmetic number, because the mean of its divisors is an integer number (4295929348800).

Almost surely, 2101123013231213 is an apocalyptic number.

It is an amenable number.

101123013231213 is a deficient number, since it is larger than the sum of its proper divisors (36346725930387).

101123013231213 is a wasteful number, since it uses less digits than its factorization.

101123013231213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40489.

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

Adding to 101123013231213 its reverse (312132310321101), we get a palindrome (413255323552314).

The spelling of 101123013231213 in words is "one hundred one trillion, one hundred twenty-three billion, thirteen million, two hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 3 53 159 1699 5097 18503 20231 55509 60693 90047 270141 980659 1072243 2941977 3216729 31436597 34372469 94309791 103117407 374334193 1123002579 1666139641 1821740857 4998418923 5465222571 19839712229 59519136687 635993793907 1907981381721 33707671077071 101123013231213