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213231004140 = 2235711179401643
BaseRepresentation
bin1100011010010110001…
…1101110100111101100
3202101101102202100001210
43012211203232213230
511443144114113030
6241542412234420
721256030426050
oct3064543564754
9671342670053
10213231004140
1182481385470
12353aa76ba10
13171525121cb
14a46b3bdc60
15582ed06bb0
hex31a58ee9ec

213231004140 has 384 divisors, whose sum is σ = 751562219520. Its totient is φ = 43881984000.

The previous prime is 213231004127. The next prime is 213231004141. The reversal of 213231004140 is 41400132312.

It is a super-2 number, since 2×2132310041402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (213231004141) 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, 331618659 + ... + 331619301.

It is an arithmetic number, because the mean of its divisors is an integer number (1957193280).

Almost surely, 2213231004140 is an apocalyptic number.

213231004140 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 213231004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375781109760).

213231004140 is an abundant number, since it is smaller than the sum of its proper divisors (538331215380).

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

213231004140 is a wasteful number, since it uses less digits than its factorization.

213231004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213231004140 its reverse (41400132312), we get a palindrome (254631136452).

The spelling of 213231004140 in words is "two hundred thirteen billion, two hundred thirty-one million, four thousand, one hundred forty".