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11213311100 = 22522910736137
BaseRepresentation
bin10100111000101110…
…11000110001111100
31001221110211020001112
422130113120301330
5140431101423400
65052404101152
7544606400045
oct123427306174
931843736045
1011213311100
114834692662
12220b3947b8
131099192634
147853598cc
15459677835
hex29c5d8c7c

11213311100 has 72 divisors (see below), whose sum is σ = 25407905040. Its totient is φ = 4290065920.

The previous prime is 11213311099. The next prime is 11213311121. The reversal of 11213311100 is 111331211.

It is a happy number.

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, 292232 + ... + 328368.

It is an arithmetic number, because the mean of its divisors is an integer number (352887570).

Almost surely, 211213311100 is an apocalyptic number.

11213311100 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 11213311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703952520).

11213311100 is an abundant number, since it is smaller than the sum of its proper divisors (14194593940).

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

11213311100 is a wasteful number, since it uses less digits than its factorization.

11213311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36287 (or 36280 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11213311100 its reverse (111331211), we get a palindrome (11324642311).

The spelling of 11213311100 in words is "eleven billion, two hundred thirteen million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 107 116 145 214 290 428 535 580 725 1070 1450 2140 2675 2900 3103 5350 6206 10700 12412 15515 31030 36137 62060 72274 77575 144548 155150 180685 310300 361370 722740 903425 1047973 1806850 2095946 3613700 3866659 4191892 5239865 7733318 10479730 15466636 19333295 20959460 26199325 38666590 52398650 77333180 96666475 104797300 112133111 193332950 224266222 386665900 448532444 560665555 1121331110 2242662220 2803327775 5606655550 11213311100