Search a number
-
+
100540234032 = 2437299226887
BaseRepresentation
bin101110110100010101…
…0100011100100110000
3100121111211012002000120
41131220222203210300
53121401244442112
6114104302050240
710156323613560
oct1355052434460
9317454162016
10100540234032
1139703382a07
121759a879980
139633710a54
144c1aacada0
15293689de8c
hex1768aa3930

100540234032 has 40 divisors (see below), whose sum is σ = 296833072896. Its totient is φ = 28725781056.

The previous prime is 100540234019. The next prime is 100540234037. The reversal of 100540234032 is 230432045001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100540233993 and 100540234011.

It is not an unprimeable number, because it can be changed into a prime (100540234037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149613108 + ... + 149613779.

Almost surely, 2100540234032 is an apocalyptic number.

100540234032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100540234032 is an abundant number, since it is smaller than the sum of its proper divisors (196292838864).

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

100540234032 is a wasteful number, since it uses less digits than its factorization.

100540234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299226905 (or 299226899 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 100540234032 its reverse (230432045001), we get a palindrome (330972279033).

The spelling of 100540234032 in words is "one hundred billion, five hundred forty million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 299226887 598453774 897680661 1196907548 1795361322 2094588209 2393815096 3590722644 4189176418 4787630192 6283764627 7181445288 8378352836 12567529254 14362890576 16756705672 25135058508 33513411344 50270117016 100540234032