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202101300000 = 253255415477
BaseRepresentation
bin1011110000111000101…
…1010001101100100000
3201022122210020210012100
42330032023101230200
511302400413100000
6232502152130400
720413154464035
oct2741613215440
9638583223170
10202101300000
117878aa07a76
1233203396a00
131609a773962
149ad31c938c
1553ccb96a00
hex2f0e2d1b20

202101300000 has 432 divisors, whose sum is σ = 736016345064. Its totient is φ = 52569600000.

The previous prime is 202101299987. The next prime is 202101300053. The reversal of 202101300000 is 3101202.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 74077597584 + 128023702416 = 272172^2 + 357804^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36897262 + ... + 36902738.

Almost surely, 2202101300000 is an apocalyptic number.

202101300000 is a gapful number since it is divisible by the number (20) 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 202101300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368008172532).

202101300000 is an abundant number, since it is smaller than the sum of its proper divisors (533915045064).

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

202101300000 is an equidigital number, since it uses as much as digits as its factorization.

202101300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 202101300000 its reverse (3101202), we get a palindrome (202104401202).

The spelling of 202101300000 in words is "two hundred two billion, one hundred one million, three hundred thousand".