Search a number
-
+
10134533112 = 233112101109317
BaseRepresentation
bin10010111000001000…
…01011001111111000
3222011021220121212020
421130010023033320
5131223420024422
64353350114440
7506100052524
oct113404131770
928137817766
1010134533112
114330752800
121b6a04ba20
13c56832372
146c1d82d84
153e4ad495c
hex25c10b3f8

10134533112 has 192 divisors, whose sum is σ = 28472320800. Its totient is φ = 3003264000.

The previous prime is 10134533089. The next prime is 10134533179. The reversal of 10134533112 is 21133543101.

It is a super-2 number, since 2×101345331122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31969978 + ... + 31970294.

Almost surely, 210134533112 is an apocalyptic number.

10134533112 is a gapful number since it is divisible by the number (12) 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 10134533112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14236160400).

10134533112 is an abundant number, since it is smaller than the sum of its proper divisors (18337787688).

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

10134533112 is a wasteful number, since it uses less digits than its factorization.

10134533112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 10134533112 in words is "ten billion, one hundred thirty-four million, five hundred thirty-three thousand, one hundred twelve".