Search a number
-
+
111976915050 = 2385271121331
BaseRepresentation
bin110100001001001011…
…0000010000001101010
3101201000212022200000000
41220102112002001222
53313312042240200
6123235205523430
711042615034120
oct1502226020152
9351025280000
10111976915050
114354205a700
1219850a13576
13a736c50920
1455c398d910
152da594a300
hex1a1258206a

111976915050 has 1296 divisors, whose sum is σ = 436256411136. Its totient is φ = 20785248000.

The previous prime is 111976915007. The next prime is 111976915051. The reversal of 111976915050 is 50519679111.

It is a happy number.

It is a super-2 number, since 2×1119769150502 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111976914987 and 111976915005.

It is not an unprimeable number, because it can be changed into a prime (111976915051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 3612158535 + ... + 3612158565.

Almost surely, 2111976915050 is an apocalyptic number.

111976915050 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 111976915050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218128205568).

111976915050 is an abundant number, since it is smaller than the sum of its proper divisors (324279496086).

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

111976915050 is a wasteful number, since it uses less digits than its factorization.

111976915050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 45.

The spelling of 111976915050 in words is "one hundred eleven billion, nine hundred seventy-six million, nine hundred fifteen thousand, fifty".