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1100210120 = 23529948457
BaseRepresentation
bin100000110010011…
…1101111111001000
32211200020110112222
41001210331333020
54223123210440
6301101153212
736156426452
oct10144757710
92750213488
101100210120
11515049169
1226855b808
13146c25509
14a61952d2
15668c82b5
hex4193dfc8

1100210120 has 32 divisors (see below), whose sum is σ = 2560836600. Its totient is φ = 424908288.

The previous prime is 1100210101. The next prime is 1100210123. The reversal of 1100210120 is 210120011.

It can be written as a sum of positive squares in 4 ways, for example, as 978813796 + 121396324 = 31286^2 + 11018^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1100210098 and 1100210107.

It is not an unprimeable number, because it can be changed into a prime (1100210123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473069 + ... + 475388.

Almost surely, 21100210120 is an apocalyptic number.

1100210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100210120 is an abundant number, since it is smaller than the sum of its proper divisors (1460626480).

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

1100210120 is a wasteful number, since it uses less digits than its factorization.

1100210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948497 (or 948493 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1100210120 is about 33169.4154304835. The cubic root of 1100210120 is about 1032.3458393620.

Adding to 1100210120 its reverse (210120011), we get a palindrome (1310330131).

The spelling of 1100210120 in words is "one billion, one hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 948457 1896914 3793828 4742285 7587656 9484570 18969140 27505253 37938280 55010506 110021012 137526265 220042024 275052530 550105060 1100210120