Search a number
-
+
100421463200 = 2552373392617
BaseRepresentation
bin101110110000110010…
…1011110110010100000
3100121012112200220001212
41131201211132302200
53121130343310300
6114044420245252
710153352232122
oct1354145366240
9317175626055
10100421463200
11396523306a3
1217566b40828
139614c27456
144c09011212
15292b23c935
hex176195eca0

100421463200 has 72 divisors (see below), whose sum is σ = 251779752252. Its totient is φ = 39082936320.

The previous prime is 100421463199. The next prime is 100421463251. The reversal of 100421463200 is 2364124001.

100421463200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 78138139024 + 22283324176 = 279532^2 + 149276^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1666709 + ... + 1725908.

Almost surely, 2100421463200 is an apocalyptic number.

100421463200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100421463200 is an abundant number, since it is smaller than the sum of its proper divisors (151358289052).

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

100421463200 is a wasteful number, since it uses less digits than its factorization.

100421463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392674 (or 3392661 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 100421463200 its reverse (2364124001), we get a palindrome (102785587201).

The spelling of 100421463200 in words is "one hundred billion, four hundred twenty-one million, four hundred sixty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 296 370 400 592 740 800 925 1184 1480 1850 2960 3700 5920 7400 14800 29600 3392617 6785234 13570468 16963085 27140936 33926170 54281872 67852340 84815425 108563744 125526829 135704680 169630850 251053658 271409360 339261700 502107316 542818720 627634145 678523400 1004214632 1255268290 1357046800 2008429264 2510536580 2714093600 3138170725 4016858528 5021073160 6276341450 10042146320 12552682900 20084292640 25105365800 50210731600 100421463200