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200131031100 = 2235271113666437
BaseRepresentation
bin1011101001100010111…
…1010011000000111100
3201010120110211202101010
42322120233103000330
511234332020443400
6231534450315220
720313301460610
oct2723057230074
9633513752333
10200131031100
1177969827870
1232953588b10
1315b45509080
14998766d340
155314c08450
hex2e98bd303c

200131031100 has 288 divisors, whose sum is σ = 777461239296. Its totient is φ = 38386713600.

The previous prime is 200131031039. The next prime is 200131031141. The reversal of 200131031100 is 1130131002.

200131031100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32919 + ... + 633518.

It is an arithmetic number, because the mean of its divisors is an integer number (2699518192).

Almost surely, 2200131031100 is an apocalyptic number.

200131031100 is a gapful number since it is divisible by the number (20) 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 200131031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388730619648).

200131031100 is an abundant number, since it is smaller than the sum of its proper divisors (577330208196).

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

200131031100 is a wasteful number, since it uses less digits than its factorization.

200131031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666485 (or 666478 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 200131031100 its reverse (1130131002), we get a palindrome (201261162102).

The spelling of 200131031100 in words is "two hundred billion, one hundred thirty-one million, thirty-one thousand, one hundred".