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102057001212 = 22376463111227
BaseRepresentation
bin101111100001100010…
…0100100000011111100
3100202102112020211102210
41133003010210003330
53133003043014322
6114515003420420
710242032124405
oct1370304440374
9322375224383
10102057001212
113a311575601
1217942824710
139815a23b1a
144d223169ac
1529c4b0b70c
hex17c31240fc

102057001212 has 24 divisors (see below), whose sum is σ = 238138258176. Its totient is φ = 34018249648.

The previous prime is 102057001139. The next prime is 102057001217. The reversal of 102057001212 is 212100750201.

102057001212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1020570012123 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102057001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 861943 + ... + 973169.

It is an arithmetic number, because the mean of its divisors is an integer number (9922427424).

Almost surely, 2102057001212 is an apocalyptic number.

102057001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102057001212 is an abundant number, since it is smaller than the sum of its proper divisors (136081256964).

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

102057001212 is a wasteful number, since it uses less digits than its factorization.

102057001212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187697 (or 187695 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 102057001212 its reverse (212100750201), we get a palindrome (314157751413).

The spelling of 102057001212 in words is "one hundred two billion, fifty-seven million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 76463 111227 152926 222454 229389 305852 333681 444908 458778 667362 917556 1334724 8504750101 17009500202 25514250303 34019000404 51028500606 102057001212