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102213012000 = 253531123131257
BaseRepresentation
bin101111100110001011…
…1101100101000100000
3100202211101211000000010
41133030113230220200
53133313012341000
6114542255324520
710245635160351
oct1371427545040
9322741730003
10102213012000
113a391642840
1217986b20740
13983c1488b8
144d38d27d28
1529d3676d50
hex17cc5eca20

102213012000 has 768 divisors, whose sum is σ = 385577127936. Its totient is φ = 23429120000.

The previous prime is 102213011963. The next prime is 102213012017. The reversal of 102213012000 is 210312201.

It is a super-2 number, since 2×1022130120002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 397715872 + ... + 397716128.

It is an arithmetic number, because the mean of its divisors is an integer number (502053552).

Almost surely, 2102213012000 is an apocalyptic number.

102213012000 is a gapful number since it is divisible by the number (10) 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 102213012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192788563968).

102213012000 is an abundant number, since it is smaller than the sum of its proper divisors (283364115936).

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

102213012000 is a wasteful number, since it uses less digits than its factorization.

102213012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102213012000 its reverse (210312201), we get a palindrome (102423324201).

The spelling of 102213012000 in words is "one hundred two billion, two hundred thirteen million, twelve thousand".