Search a number
-
+
122100301013130 = 2325111937175439029
BaseRepresentation
bin11011110000110010110001…
…000100011010000010001010
3121000022200012220200021112200
4123300302301010122002022
5112000442404024410010
61111404034240421030
734501312166220066
oct3360626104320212
9530280186607480
10122100301013130
11359a54a0856780
121183ba33917776
13531901696474b
142221986938aa6
15e1b197ecbcc0
hex6f0cb111a08a

122100301013130 has 192 divisors, whose sum is σ = 374400925142400. Its totient is φ = 27284277634560.

The previous prime is 122100301013099. The next prime is 122100301013153. The reversal of 122100301013130 is 31310103001221.

122100301013130 is a `hidden beast` number, since 1 + 221 + 0 + 0 + 30 + 101 + 313 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87023545 + ... + 88415484.

It is an arithmetic number, because the mean of its divisors is an integer number (1950004818450).

Almost surely, 2122100301013130 is an apocalyptic number.

122100301013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122100301013130 is an abundant number, since it is smaller than the sum of its proper divisors (252300624129270).

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

122100301013130 is a wasteful number, since it uses less digits than its factorization.

122100301013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175439109 (or 175439106 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 122100301013130 its reverse (31310103001221), we get a palindrome (153410404014351).

The spelling of 122100301013130 in words is "one hundred twenty-two trillion, one hundred billion, three hundred one million, thirteen thousand, one hundred thirty".