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100441220 = 225111924029
BaseRepresentation
bin1011111110010…
…01110010000100
320222222221110012
411333021302010
5201203104340
613544445352
72326510355
oct577116204
9228887405
10100441220
1151772a80
1229779858
1317a69599
14d4a7d2c
158c40565
hex5fc9c84

100441220 has 48 divisors (see below), whose sum is σ = 242222400. Its totient is φ = 34600320.

The previous prime is 100441213. The next prime is 100441223. The reversal of 100441220 is 22144001.

It is a junction number, because it is equal to n+sod(n) for n = 100441195 and 100441204.

It is not an unprimeable number, because it can be changed into a prime (100441223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7835 + ... + 16194.

It is an arithmetic number, because the mean of its divisors is an integer number (5046300).

Almost surely, 2100441220 is an apocalyptic number.

100441220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100441220 is an abundant number, since it is smaller than the sum of its proper divisors (141781180).

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

100441220 is a wasteful number, since it uses less digits than its factorization.

100441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24068 (or 24066 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 100441220 is about 10022.0367191505. The cubic root of 100441220 is about 464.8405357549.

Adding to 100441220 its reverse (22144001), we get a palindrome (122585221).

It can be divided in two parts, 1004 and 41220, that added together give a palindrome (42224).

The spelling of 100441220 in words is "one hundred million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 24029 48058 96116 120145 240290 264319 456551 480580 528638 913102 1057276 1321595 1826204 2282755 2643190 4565510 5022061 5286380 9131020 10044122 20088244 25110305 50220610 100441220