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100011222120 = 23351018251751
BaseRepresentation
bin101110100100100100…
…0100010010001101000
3100120010221202111002210
41131021020202101220
53114310333101440
6113540003325120
710140241235025
oct1351110422150
9316127674083
10100011222120
1139461800487
12174716807a0
13957ac3b654
144baa74254c
152905204a80
hex1749222468

100011222120 has 64 divisors (see below), whose sum is σ = 303004333440. Its totient is φ = 26405600000.

The previous prime is 100011222107. The next prime is 100011222137. The reversal of 100011222120 is 21222110001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100011222096 and 100011222105.

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, 4113756 + ... + 4137995.

It is an arithmetic number, because the mean of its divisors is an integer number (4734442710).

Almost surely, 2100011222120 is an apocalyptic number.

100011222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011222120 is an abundant number, since it is smaller than the sum of its proper divisors (202993111320).

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

100011222120 is a wasteful number, since it uses less digits than its factorization.

100011222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251866 (or 8251862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100011222120 its reverse (21222110001), we get a palindrome (121233332121).

The spelling of 100011222120 in words is "one hundred billion, eleven million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 8251751 16503502 24755253 33007004 41258755 49510506 66014008 82517510 99021012 123776265 165035020 198042024 247552530 330070040 495105060 833426851 990210120 1666853702 2500280553 3333707404 4167134255 5000561106 6667414808 8334268510 10001122212 12501402765 16668537020 20002244424 25002805530 33337074040 50005611060 100011222120