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2100131220 = 2235118935753
BaseRepresentation
bin111110100101101…
…0111010110010100
312102100202201102210
41331023113112110
513300113144340
6544221033420
7103020551355
oct17513272624
95370681383
102100131220
11988518740
124a73b5870
132761357c5
1415ccc1d2c
15c4591180
hex7d2d7594

2100131220 has 96 divisors (see below), whose sum is σ = 6487205760. Its totient is φ = 503388160.

The previous prime is 2100131213. The next prime is 2100131249. The reversal of 2100131220 is 221310012.

It is a super-2 number, since 2×21001312202 = 8821102282437376800, which contains 22 as substring.

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 = 2100131196 and 2100131205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40864 + ... + 76616.

It is an arithmetic number, because the mean of its divisors is an integer number (67575060).

Almost surely, 22100131220 is an apocalyptic number.

2100131220 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 2100131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243602880).

2100131220 is an abundant number, since it is smaller than the sum of its proper divisors (4387074540).

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

2100131220 is a wasteful number, since it uses less digits than its factorization.

2100131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35865 (or 35863 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100131220 is about 45827.1886547713. The cubic root of 2100131220 is about 1280.6058370666.

Adding to 2100131220 its reverse (221310012), we get a palindrome (2321441232).

The spelling of 2100131220 in words is "two billion, one hundred million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 89 110 132 165 178 220 267 330 356 445 534 660 890 979 1068 1335 1780 1958 2670 2937 3916 4895 5340 5874 9790 11748 14685 19580 29370 35753 58740 71506 107259 143012 178765 214518 357530 393283 429036 536295 715060 786566 1072590 1179849 1573132 1966415 2145180 2359698 3182017 3932830 4719396 5899245 6364034 7865660 9546051 11798490 12728068 15910085 19092102 23596980 31820170 35002187 38184204 47730255 63640340 70004374 95460510 105006561 140008748 175010935 190921020 210013122 350021870 420026244 525032805 700043740 1050065610 2100131220