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101232120042 = 23219319192761
BaseRepresentation
bin101111001000111100…
…1111001000011101010
3100200022001002112012100
41132101321321003222
53124310410320132
6114301055354230
710212424552134
oct1362171710352
9320261075170
10101232120042
1139a28990129
1217752522976
139713b6bb61
144c84952054
1529774bc37c
hex1791e790ea

101232120042 has 48 divisors (see below), whose sum is σ = 230955117120. Its totient is φ = 31957675200.

The previous prime is 101232120037. The next prime is 101232120043. The reversal of 101232120042 is 240021232101.

It is a happy number.

101232120042 is a `hidden beast` number, since 101 + 2 + 321 + 200 + 42 = 666.

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

101232120042 is a modest number, since divided by 120042 gives 101232 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 101232119997 and 101232120024.

It is not an unprimeable number, because it can be changed into a prime (101232120043) 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, 1044942 + ... + 1137702.

It is an arithmetic number, because the mean of its divisors is an integer number (4811564940).

Almost surely, 2101232120042 is an apocalyptic number.

101232120042 is an abundant number, since it is smaller than the sum of its proper divisors (129722997078).

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

101232120042 is a wasteful number, since it uses less digits than its factorization.

101232120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95979 (or 95976 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101232120042 its reverse (240021232101), we get a palindrome (341253352143).

The spelling of 101232120042 in words is "one hundred one billion, two hundred thirty-two million, one hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 3191 6382 9573 19146 28719 57438 60629 92761 121258 181887 185522 278283 363774 545661 556566 834849 1091322 1669698 1762459 3524918 5287377 10574754 15862131 31724262 296000351 592000702 888001053 1776002106 2664003159 5328006318 5624006669 11248013338 16872020007 33744040014 50616060021 101232120042