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101110011112 = 231141271103409
BaseRepresentation
bin101111000101010100…
…0000101010011101000
3100122222112022202020101
41132022220011103220
53124033130323422
6114241014235144
710206412625335
oct1361250052350
9318875282211
10101110011112
1139975a68960
1217719655ab4
1396c4787056
144c7264798c
15296b8ebc27
hex178aa054e8

101110011112 has 64 divisors (see below), whose sum is σ = 212644051200. Its totient is φ = 44672256000.

The previous prime is 101110011109. The next prime is 101110011113. The reversal of 101110011112 is 211110011101.

It is not an unprimeable number, because it can be changed into a prime (101110011113) 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, 926064 + ... + 1029472.

It is an arithmetic number, because the mean of its divisors is an integer number (3322563300).

Almost surely, 2101110011112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106322025600).

101110011112 is an abundant number, since it is smaller than the sum of its proper divisors (111534040088).

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

101110011112 is a wasteful number, since it uses less digits than its factorization.

101110011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103738 (or 103734 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101110011112 its reverse (211110011101), we get a palindrome (312220022213).

The spelling of 101110011112 in words is "one hundred one billion, one hundred ten million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 271 328 451 542 902 1084 1804 2168 2981 3608 5962 11111 11924 22222 23848 44444 88888 103409 122221 206818 244442 413636 488884 827272 977768 1137499 2274998 4239769 4549996 8479538 9099992 16959076 28023839 33918152 46637459 56047678 93274918 112095356 186549836 224190712 308262229 373099672 616524458 1148977399 1233048916 2297954798 2466097832 4595909596 9191819192 12638751389 25277502778 50555005556 101110011112