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101120010012 = 22337133756627
BaseRepresentation
bin101111000101100111…
…0001110011100011100
3100200000020010202011000
41132023032032130130
53124043210310022
6114242012430300
710206563621550
oct1361316163434
9320006122130
10101120010012
113998067820a
1217720a78390
1396c6878268
144c73acb860
15296c7246ac
hex178b38e71c

101120010012 has 48 divisors (see below), whose sum is σ = 299614846720. Its totient is φ = 28891431216.

The previous prime is 101120010007. The next prime is 101120010037. The reversal of 101120010012 is 210010021101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101120009976 and 101120010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66877558 + ... + 66879069.

Almost surely, 2101120010012 is an apocalyptic number.

101120010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120010012 is an abundant number, since it is smaller than the sum of its proper divisors (198494836708).

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

101120010012 is a wasteful number, since it uses less digits than its factorization.

101120010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133756647 (or 133756639 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101120010012 its reverse (210010021101), we get a palindrome (311130031113).

The spelling of 101120010012 in words is "one hundred one billion, one hundred twenty million, ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 133756627 267513254 401269881 535026508 802539762 936296389 1203809643 1605079524 1872592778 2407619286 2808889167 3611428929 3745185556 4815238572 5617778334 7222857858 8426667501 11235556668 14445715716 16853335002 25280002503 33706670004 50560005006 101120010012