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2100012120 = 2332519729611
BaseRepresentation
bin111110100101011…
…1010010001011000
312102100112200001200
41331022322101120
513300100341440
6544214314200
7103016544213
oct17512722130
95370480050
102100012120
11988447208
124a7358960
132760c352b
1415cc9077a
15c456ac30
hex7d2ba458

2100012120 has 96 divisors (see below), whose sum is σ = 6859915920. Its totient is φ = 557141760.

The previous prime is 2100012017. The next prime is 2100012121. The reversal of 2100012120 is 212100012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100012121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56115 + ... + 85725.

Almost surely, 22100012120 is an apocalyptic number.

2100012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429957960).

2100012120 is an abundant number, since it is smaller than the sum of its proper divisors (4759903800).

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

2100012120 is a wasteful number, since it uses less digits than its factorization.

2100012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29825 (or 29818 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100012120 is about 45825.8891894091. The cubic root of 2100012120 is about 1280.5816285731.

Adding to 2100012120 its reverse (212100012), we get a palindrome (2312112132).

The spelling of 2100012120 in words is "two billion, one hundred million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 197 360 394 591 788 985 1182 1576 1773 1970 2364 2955 3546 3940 4728 5910 7092 7880 8865 11820 14184 17730 23640 29611 35460 59222 70920 88833 118444 148055 177666 236888 266499 296110 355332 444165 532998 592220 710664 888330 1065996 1184440 1332495 1776660 2131992 2664990 3553320 5329980 5833367 10659960 11666734 17500101 23333468 29166835 35000202 46666936 52500303 58333670 70000404 87500505 105000606 116667340 140000808 175001010 210001212 233334680 262501515 350002020 420002424 525003030 700004040 1050006060 2100012120