Search a number
-
+
122647655130 = 2357211132371213
BaseRepresentation
bin111001000111001011…
…1101011001011011010
3102201120112012102112120
41302032113223023122
54002140244431010
6132202112522110
711601215603400
oct1621627531332
9381515172476
10122647655130
1148018449660
121b92a550336
13b7478a4300
145d16c31470
1532cc64ae70
hex1c8e5eb2da

122647655130 has 576 divisors, whose sum is σ = 415759298688. Its totient is φ = 22870149120.

The previous prime is 122647655113. The next prime is 122647655131. The reversal of 122647655130 is 31556746221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (122647655131) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 101110404 + ... + 101111616.

It is an arithmetic number, because the mean of its divisors is an integer number (721804338).

Almost surely, 2122647655130 is an apocalyptic number.

122647655130 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 122647655130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207879649344).

122647655130 is an abundant number, since it is smaller than the sum of its proper divisors (293111643558).

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

122647655130 is a wasteful number, since it uses less digits than its factorization.

122647655130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

It can be divided in two parts, 122647 and 655130, that added together give a palindrome (777777).

The spelling of 122647655130 in words is "one hundred twenty-two billion, six hundred forty-seven million, six hundred fifty-five thousand, one hundred thirty".