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100112468540 = 22572932440577
BaseRepresentation
bin101110100111100101…
…0110000101000111100
3100120102000021100002012
41131033022300220330
53120012242443130
6113554021350352
710142610641060
oct1351712605074
9316360240065
10100112468540
1139503973407
121749b5683b8
139595bca586
144bb9d79aa0
15290e053995
hex174f2b0a3c

100112468540 has 48 divisors (see below), whose sum is σ = 241090057152. Its totient is φ = 34207113216.

The previous prime is 100112468471. The next prime is 100112468569. The reversal of 100112468540 is 45864211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112468497 and 100112468506.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1179269 + ... + 1261308.

It is an arithmetic number, because the mean of its divisors is an integer number (5022709524).

Almost surely, 2100112468540 is an apocalyptic number.

100112468540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112468540 is an abundant number, since it is smaller than the sum of its proper divisors (140977588612).

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

100112468540 is a wasteful number, since it uses less digits than its factorization.

100112468540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440886 (or 2440884 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 100112468540 its reverse (45864211001), we get a palindrome (145976679541).

The spelling of 100112468540 in words is "one hundred billion, one hundred twelve million, four hundred sixty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 293 586 1172 1465 2051 2930 4102 5860 8204 10255 20510 41020 2440577 4881154 9762308 12202885 17084039 24405770 34168078 48811540 68336156 85420195 170840390 341680780 715089061 1430178122 2860356244 3575445305 5005623427 7150890610 10011246854 14301781220 20022493708 25028117135 50056234270 100112468540