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11202011000112 = 243173161131151367
BaseRepresentation
bin1010001100000010101111…
…1000101110110100110000
31110122220100101222202100110
42203000223320232310300
52432013204304000422
635454044404221320
72234214163305402
oct243005370566460
943586311882313
1011202011000112
1136298231a0279
12130b03699a840
1363346426c40a
142aa274776b72
151465cb46560c
hexa302be2ed30

11202011000112 has 640 divisors, whose sum is σ = 32696494718976. Its totient is φ = 3288729600000.

The previous prime is 11202011000111. The next prime is 11202011000233. The reversal of 11202011000112 is 21100011020211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11202011000111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30523190553 + ... + 30523190919.

Almost surely, 211202011000112 is an apocalyptic number.

11202011000112 is a gapful number since it is divisible by the number (12) 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 11202011000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348247359488).

11202011000112 is an abundant number, since it is smaller than the sum of its proper divisors (21494483718864).

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

11202011000112 is a wasteful number, since it uses less digits than its factorization.

11202011000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11202011000112 its reverse (21100011020211), we get a palindrome (32302022020323).

The spelling of 11202011000112 in words is "eleven trillion, two hundred two billion, eleven million, one hundred twelve", and thus it is an aban number.