Search a number
-
+
122484422970 = 23457133797463
BaseRepresentation
bin111001000010010100…
…0111111100100111010
3102201011011001101010000
41302010220333210322
54001322003013340
6132134002133430
711564164263030
oct1620450774472
9381134041100
10122484422970
1147a44299948
121b8a3951276
13b71cb21630
145cdd2a0550
1532bd155d30
hex1c84a3f93a

122484422970 has 640 divisors, whose sum is σ = 421505796096. Its totient is φ = 24831442944.

The previous prime is 122484422923. The next prime is 122484423023. The reversal of 122484422970 is 79224484221.

122484422970 is a `hidden beast` number, since 122 + 484 + 42 + 2 + 9 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 264544959 + ... + 264545421.

Almost surely, 2122484422970 is an apocalyptic number.

122484422970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122484422970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210752898048).

122484422970 is an abundant number, since it is smaller than the sum of its proper divisors (299021373126).

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

122484422970 is a wasteful number, since it uses less digits than its factorization.

122484422970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 122484422970 in words is "one hundred twenty-two billion, four hundred eighty-four million, four hundred twenty-two thousand, nine hundred seventy".