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212203012320 = 253251379143489
BaseRepresentation
bin1100010110100001001…
…0010000000011100000
3202021201210101221101200
43011220102100003200
511434042432343240
6241252411001200
721221405562255
oct3055022200340
9667653357350
10212203012320
1181aa4082a52
1235162439200
131701a554120
14a3b0a6742c
1557be946930
hex31684900e0

212203012320 has 288 divisors, whose sum is σ = 789723043200. Its totient is φ = 51573030912.

The previous prime is 212203012309. The next prime is 212203012349. The reversal of 212203012320 is 23210302212.

212203012320 is a `hidden beast` number, since 21 + 2 + 20 + 301 + 2 + 320 = 666.

212203012320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212203012293 and 212203012302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407136 + ... + 1550624.

It is an arithmetic number, because the mean of its divisors is an integer number (2742093900).

Almost surely, 2212203012320 is an apocalyptic number.

212203012320 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 212203012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394861521600).

212203012320 is an abundant number, since it is smaller than the sum of its proper divisors (577520030880).

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

212203012320 is a wasteful number, since it uses less digits than its factorization.

212203012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143602 (or 143591 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212203012320 its reverse (23210302212), we get a palindrome (235413314532).

The spelling of 212203012320 in words is "two hundred twelve billion, two hundred three million, twelve thousand, three hundred twenty".