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11404222100 = 2252599719927
BaseRepresentation
bin10101001111011111…
…01001111010010100
31002102210001111201022
422213233221322110
5141323440101400
65123344020312
7552415200635
oct124757517224
932383044638
1011404222100
114922427947
122263301698
1310c98b691b
147a285388c
1546b2d8b85
hex2a7be9e94

11404222100 has 72 divisors (see below), whose sum is σ = 25427330880. Its totient is φ = 4437918720.

The previous prime is 11404222097. The next prime is 11404222111. The reversal of 11404222100 is 122240411.

It is a super-2 number, since 2×114042221002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562337 + ... + 582263.

Almost surely, 211404222100 is an apocalyptic number.

11404222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713665440).

11404222100 is an abundant number, since it is smaller than the sum of its proper divisors (14023108780).

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

11404222100 is a wasteful number, since it uses less digits than its factorization.

11404222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20097 (or 20090 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11404222100 its reverse (122240411), we get a palindrome (11526462511).

The spelling of 11404222100 in words is "eleven billion, four hundred four million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 97 100 118 194 236 295 388 485 590 970 1180 1475 1940 2425 2950 4850 5723 5900 9700 11446 19927 22892 28615 39854 57230 79708 99635 114460 143075 199270 286150 398540 498175 572300 996350 1175693 1932919 1992700 2351386 3865838 4702772 5878465 7731676 9664595 11756930 19329190 23513860 29392325 38658380 48322975 58784650 96645950 114042221 117569300 193291900 228084442 456168884 570211105 1140422210 2280844420 2851055525 5702111050 11404222100