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11312102200 = 23527191632609
BaseRepresentation
bin10101000100100000…
…01111101100111000
31002012100201022222011
422202100033230320
5141131344232300
65110253335304
7550216165540
oct124220175470
932170638864
1011312102200
1148854288a3
122238497534
1310b37a1ac9
14794514320
1546318deba
hex2a240fb38

11312102200 has 192 divisors, whose sum is σ = 31846176000. Its totient is φ = 3650365440.

The previous prime is 11312102183. The next prime is 11312102203. The reversal of 11312102200 is 220121311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312102203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4334496 + ... + 4337104.

It is an arithmetic number, because the mean of its divisors is an integer number (165865500).

Almost surely, 211312102200 is an apocalyptic number.

11312102200 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 11312102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923088000).

11312102200 is an abundant number, since it is smaller than the sum of its proper divisors (20534073800).

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

11312102200 is a wasteful number, since it uses less digits than its factorization.

11312102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11312102200 its reverse (220121311), we get a palindrome (11532223511).

The spelling of 11312102200 in words is "eleven billion, three hundred twelve million, one hundred two thousand, two hundred".