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101123001021 = 37311049148079
BaseRepresentation
bin101111000101101100…
…1101000101010111101
3100200000102202201001010
41132023121220222331
53124044442013041
6114242200505433
710206631216650
oct1361331505275
9320012681033
10101123001021
1139982330419
1217721a7b279
1396c73847a3
144c74269897
15296cb15a16
hex178b668abd

101123001021 has 32 divisors (see below), whose sum is σ = 159215616000. Its totient is φ = 55866867840.

The previous prime is 101123001017. The next prime is 101123001043. The reversal of 101123001021 is 120100321101.

It is not a de Polignac number, because 101123001021 - 22 = 101123001017 is a prime.

It is a super-2 number, since 2×1011230010212 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101123000988 and 101123001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123001121) 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, 608860 + ... + 756938.

It is an arithmetic number, because the mean of its divisors is an integer number (4975488000).

Almost surely, 2101123001021 is an apocalyptic number.

It is an amenable number.

101123001021 is a deficient number, since it is larger than the sum of its proper divisors (58092614979).

101123001021 is a wasteful number, since it uses less digits than its factorization.

101123001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149169.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101123001021 its reverse (120100321101), we get a palindrome (221223322122).

The spelling of 101123001021 in words is "one hundred one billion, one hundred twenty-three million, one thousand, twenty-one".

Divisors: 1 3 7 21 31 93 217 651 1049 3147 7343 22029 32519 97557 148079 227633 444237 682899 1036553 3109659 4590449 13771347 32133143 96399429 155334871 466004613 1087344097 3262032291 4815381001 14446143003 33707667007 101123001021