Search a number
-
+
110062052100 = 22335271113193211
BaseRepresentation
bin110011010000000110…
…1011010001100000100
3101112002102011112212000
41212200031122030010
53300401341131400
6122321203425300
710644304002240
oct1464015321404
9345072145760
10110062052100
114274a182840
12193b7685230
13a4c0314c20
145481537420
152ce27a3600
hex19a035a304

110062052100 has 1152 divisors, whose sum is σ = 479795957760. Its totient is φ = 20901888000.

The previous prime is 110062052059. The next prime is 110062052117. The reversal of 110062052100 is 1250260011.

It is a super-2 number, since 2×1100620521002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 521620995 + ... + 521621205.

Almost surely, 2110062052100 is an apocalyptic number.

110062052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110062052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239897978880).

110062052100 is an abundant number, since it is smaller than the sum of its proper divisors (369733905660).

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

110062052100 is a wasteful number, since it uses less digits than its factorization.

110062052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 110062052100 in words is "one hundred ten billion, sixty-two million, fifty-two thousand, one hundred".