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102212213300 = 22524012548933
BaseRepresentation
bin101111100110001010…
…0101001101000110100
3100202211100022102101122
41133030110221220310
53133312311311200
6114542230243112
710245625322651
oct1371424515064
9322740272348
10102212213300
113a39114775a
12179867b6498
13983bc291b2
144d38b9ac28
1529d356a385
hex17cc529a34

102212213300 has 36 divisors (see below), whose sum is σ = 222353708556. Its totient is φ = 40782912000.

The previous prime is 102212213273. The next prime is 102212213309. The reversal of 102212213300 is 3312212201.

102212213300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 203518756 + 102008694544 = 14266^2 + 319388^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212213309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1234367 + ... + 1314566.

Almost surely, 2102212213300 is an apocalyptic number.

102212213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212213300 is an abundant number, since it is smaller than the sum of its proper divisors (120141495256).

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

102212213300 is a wasteful number, since it uses less digits than its factorization.

102212213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549348 (or 2549341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102212213300 its reverse (3312212201), we get a palindrome (105524425501).

The spelling of 102212213300 in words is "one hundred two billion, two hundred twelve million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 401 802 1604 2005 4010 8020 10025 20050 40100 2548933 5097866 10195732 12744665 25489330 50978660 63723325 127446650 254893300 1022122133 2044244266 4088488532 5110610665 10221221330 20442442660 25553053325 51106106650 102212213300