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1210022000100 = 2232523729912
BaseRepresentation
bin10001100110111010111…
…011100111010111100100
311021200021111212110120100
4101212322323213113210
5124311111113000400
62323513150504100
7153264321204144
oct21467273472744
94250244773510
101210022000100
11427192968101
12176615b05030
138a148a08a94
14427cb576924
152171e992100
hex119baee75e4

1210022000100 has 243 divisors, whose sum is σ = 3901961248731. Its totient is φ = 313634851200.

The previous prime is 1210022000041. The next prime is 1210022000119. The reversal of 1210022000100 is 10002200121.

The square root of 1210022000100 is 1100010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 114868122084 + 1095153878016 = 338922^2 + 1046496^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1221010605 + ... + 1221011595.

Almost surely, 21210022000100 is an apocalyptic number.

1210022000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1210022000100 is the 1100010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210022000100

1210022000100 is an abundant number, since it is smaller than the sum of its proper divisors (2691939248631).

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

1210022000100 is an equidigital number, since it uses as much as digits as its factorization.

1210022000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1210022000100 its reverse (10002200121), we get a palindrome (1220024200221).

The spelling of 1210022000100 in words is "one trillion, two hundred ten billion, twenty-two million, one hundred", and thus it is an aban number.