Search a number
-
+
213031122300000 = 253255376397331
BaseRepresentation
bin110000011100000000101100…
…010111101110110001100000
31000221021120120012020020101200
4300130000230113232301200
5210410300214302100000
62033025051353001200
762604663542266554
oct6034005427566140
91027246505206350
10213031122300000
1161972a9a912734
121ba86a379b3200
1391b399699a314
143a86a93159864
151996665b3d500
hexc1c02c5eec60

213031122300000 has 432 divisors, whose sum is σ = 777675875964624. Its totient is φ = 55272931200000.

The previous prime is 213031122299981. The next prime is 213031122300019. The reversal of 213031122300000 is 3221130312.

213031122300000 is a `hidden beast` number, since 2 + 1 + 30 + 311 + 22 + 300 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213031122299981) and next prime (213031122300019).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30101335 + ... + 36498665.

It is an arithmetic number, because the mean of its divisors is an integer number (1800175638807).

Almost surely, 2213031122300000 is an apocalyptic number.

213031122300000 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 213031122300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388837937982312).

213031122300000 is an abundant number, since it is smaller than the sum of its proper divisors (564644753664624).

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

213031122300000 is an equidigital number, since it uses as much as digits as its factorization.

213031122300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397409 (or 6397378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213031122300000 its reverse (3221130312), we get a palindrome (213034343430312).

The spelling of 213031122300000 in words is "two hundred thirteen trillion, thirty-one billion, one hundred twenty-two million, three hundred thousand".