Search a number
-
+
112110021012 = 223114718070603
BaseRepresentation
bin110100001101001000…
…1110010100110010100
3101201101010210011001110
41220122101302212110
53314100131133022
6123300322455020
711046122312133
oct1503221624624
9351333704043
10112110021012
1143600203130
1219889504470
13a7586b6052
1455d751b91a
152db248e00c
hex1a1a472994

112110021012 has 48 divisors (see below), whose sum is σ = 291442701312. Its totient is φ = 33249907680.

The previous prime is 112110021011. The next prime is 112110021031. The reversal of 112110021012 is 210120011211.

It is a super-2 number, since 2×1121100210122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112110021011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9029098 + ... + 9041505.

It is an arithmetic number, because the mean of its divisors is an integer number (6071722944).

Almost surely, 2112110021012 is an apocalyptic number.

112110021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112110021012 is an abundant number, since it is smaller than the sum of its proper divisors (179332680300).

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

112110021012 is a wasteful number, since it uses less digits than its factorization.

112110021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18070668 (or 18070666 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112110021012 its reverse (210120011211), we get a palindrome (322230032223).

The spelling of 112110021012 in words is "one hundred twelve billion, one hundred ten million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 18070603 36141206 54211809 72282412 108423618 198776633 216847236 397553266 596329899 795106532 849318341 1192659798 1698636682 2385319596 2547955023 3397273364 5095910046 9342501751 10191820092 18685003502 28027505253 37370007004 56055010506 112110021012