Search a number
-
+
122113421430 = 235711213438597
BaseRepresentation
bin111000110111010000…
…1101111000001110110
3102200012021221112200020
41301232201233001312
54000042013441210
6132033110230010
711552040645630
oct1615641570166
9380167845606
10122113421430
114787392aa00
121b7bb655306
13b690cc41b0
145ca5cc7a50
15329a7be770
hex1c6e86f076

122113421430 has 384 divisors, whose sum is σ = 405744159744. Its totient is φ = 22874987520.

The previous prime is 122113421399. The next prime is 122113421459. The reversal of 122113421430 is 34124311221.

It is a self number, because there is not a number n which added to its sum of digits gives 122113421430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14199892 + ... + 14208488.

It is an arithmetic number, because the mean of its divisors is an integer number (1056625416).

Almost surely, 2122113421430 is an apocalyptic number.

122113421430 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 122113421430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202872079872).

122113421430 is an abundant number, since it is smaller than the sum of its proper divisors (283630738314).

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

122113421430 is a wasteful number, since it uses less digits than its factorization.

122113421430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8692 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122113421430 its reverse (34124311221), we get a palindrome (156237732651).

The spelling of 122113421430 in words is "one hundred twenty-two billion, one hundred thirteen million, four hundred twenty-one thousand, four hundred thirty".