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212200123200102 = 23331112635472383
BaseRepresentation
bin110000001111111010110000…
…111101101111001001100110
31000211100010121102211001122000
4300033322300331233021212
5210303141323014400402
62031151220230150130
762460644604424152
oct6017726075571146
91024303542731560
10212200123200102
1161682626556414
121b97197bab2346
1391535026752ab
143a5877dbd4062
15197ec2b16cc1c
hexc0feb0f6f266

212200123200102 has 32 divisors (see below), whose sum is σ = 473072086056960. Its totient is φ = 70505935891560.

The previous prime is 212200123200101. The next prime is 212200123200157. The reversal of 212200123200102 is 201002321002212.

212200123200102 is a `hidden beast` number, since 21 + 220 + 0 + 1 + 2 + 320 + 0 + 102 = 666.

It is a super-2 number, since 2×2122001232001022 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200123200101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6317719398 + ... + 6317752985.

It is an arithmetic number, because the mean of its divisors is an integer number (14783502689280).

Almost surely, 2212200123200102 is an apocalyptic number.

212200123200102 is an abundant number, since it is smaller than the sum of its proper divisors (260871962856858).

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

212200123200102 is a wasteful number, since it uses less digits than its factorization.

212200123200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12635472705 (or 12635472699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212200123200102 its reverse (201002321002212), we get a palindrome (413202444202314).

The spelling of 212200123200102 in words is "two hundred twelve trillion, two hundred billion, one hundred twenty-three million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 311 622 933 1866 2799 5598 8397 16794 12635472383 25270944766 37906417149 75812834298 113719251447 227438502894 341157754341 682315508682 3929631911113 7859263822226 11788895733339 23577791466678 35366687200017 70733374400034 106100061600051 212200123200102