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101232031122 = 23419112929131
BaseRepresentation
bin101111001000111100…
…1100011010110010010
3100200022000221000020000
41132101321203112102
53124310344443442
6114301053430430
710212424031655
oct1362171432622
9320260830200
10101232031122
1139a2892a342
121775249b416
139713b3a541
144c8492b89c
1529774a0d4c
hex1791e63592

101232031122 has 80 divisors (see below), whose sum is σ = 238993101600. Its totient is φ = 31938598080.

The previous prime is 101232031093. The next prime is 101232031127. The reversal of 101232031122 is 221130232101.

101232031122 is a `hidden beast` number, since 1 + 0 + 12 + 320 + 311 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101232031095 and 101232031104.

It is not an unprimeable number, because it can be changed into a prime (101232031127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3460497 + ... + 3489627.

It is an arithmetic number, because the mean of its divisors is an integer number (2987413770).

Almost surely, 2101232031122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101232031122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119496550800).

101232031122 is an abundant number, since it is smaller than the sum of its proper divisors (137761070478).

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

101232031122 is a wasteful number, since it uses less digits than its factorization.

101232031122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30293 (or 30284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101232031122 its reverse (221130232101), we get a palindrome (322362263223).

The spelling of 101232031122 in words is "one hundred one billion, two hundred thirty-two million, thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 513 1026 1129 1539 2258 3078 3387 6774 10161 20322 21451 29131 30483 42902 58262 60966 64353 87393 91449 128706 174786 182898 193059 262179 386118 524358 553489 579177 786537 1106978 1158354 1573074 1660467 1737531 2359611 3320934 3475062 4719222 4981401 9962802 14944203 29888406 32888899 44832609 65777798 89665218 98666697 197333394 296000091 592000182 624889081 888000273 1249778162 1776000546 1874667243 2664000819 3749334486 5328001638 5624001729 11248003458 16872005187 33744010374 50616015561 101232031122