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10212130200 = 23352431013919
BaseRepresentation
bin10011000001011000…
…01011110110011000
3222100200220222001110
421200230023312120
5131403301131300
64405201220320
7511031450226
oct114054136630
928320828043
1010212130200
114370532628
121b900316a0
13c69930abc
146cc3c1b16
153eb811550
hex260b0bd98

10212130200 has 192 divisors, whose sum is σ = 32722905600. Its totient is φ = 2632896000.

The previous prime is 10212130171. The next prime is 10212130211. The reversal of 10212130200 is 203121201.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2603841 + ... + 2607759.

It is an arithmetic number, because the mean of its divisors is an integer number (170431800).

Almost surely, 210212130200 is an apocalyptic number.

10212130200 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 10212130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361452800).

10212130200 is an abundant number, since it is smaller than the sum of its proper divisors (22510775400).

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

10212130200 is a wasteful number, since it uses less digits than its factorization.

10212130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4073 counting only the distinct ones).

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

Adding to 10212130200 its reverse (203121201), we get a palindrome (10415251401).

The spelling of 10212130200 in words is "ten billion, two hundred twelve million, one hundred thirty thousand, two hundred".