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213131202000 = 243532341139271
BaseRepresentation
bin1100011001111110011…
…1000000110111010000
3202101010110221212021020
43012133213000313100
511442443041431000
6241524445155440
721253406216523
oct3063747006720
9671113855236
10213131202000
1182430009662
123538125bb80
131713793a7a2
14a45c040bba
155826190ba0
hex319f9c0dd0

213131202000 has 640 divisors, whose sum is σ = 742512476160. Its totient is φ = 52462080000.

The previous prime is 213131201989. The next prime is 213131202029. The reversal of 213131202000 is 202131312.

213131202000 is digitally balanced in base 2 and base 3, because in such bases 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 (15).

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 127 ways as a sum of consecutive naturals, for example, 786461865 + ... + 786462135.

It is an arithmetic number, because the mean of its divisors is an integer number (1160175744).

Almost surely, 2213131202000 is an apocalyptic number.

213131202000 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 213131202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371256238080).

213131202000 is an abundant number, since it is smaller than the sum of its proper divisors (529381274160).

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

213131202000 is a wasteful number, since it uses less digits than its factorization.

213131202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213131202000 its reverse (202131312), we get a palindrome (213333333312).

The spelling of 213131202000 in words is "two hundred thirteen billion, one hundred thirty-one million, two hundred two thousand".