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2100100001220 = 2232513897478633
BaseRepresentation
bin11110100011110111101…
…101101110110111000100
321102202201120122210002200
4132203313231232313010
5233402001100014340
64244434515234500
7304504302322224
oct36436755566704
97382646583080
102100100001220
1173a713779321
1229b01b2a8a30
131230669b8020
1473906d02084
1539965dbc330
hex1e8f7b6edc4

2100100001220 has 72 divisors (see below), whose sum is σ = 6860326678296. Its totient is φ = 516947692032.

The previous prime is 2100100001183. The next prime is 2100100001231. The reversal of 2100100001220 is 221000010012.

It can be written as a sum of positive squares in 4 ways, for example, as 55240041024 + 2044859960196 = 235032^2 + 1429986^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448736977 + ... + 448741656.

Almost surely, 22100100001220 is an apocalyptic number.

2100100001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100100001220 is an abundant number, since it is smaller than the sum of its proper divisors (4760226677076).

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

2100100001220 is a wasteful number, since it uses less digits than its factorization.

2100100001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897478661 (or 897478656 counting only the distinct ones).

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

Adding to 2100100001220 its reverse (221000010012), we get a palindrome (2321100011232).

The spelling of 2100100001220 in words is "two trillion, one hundred billion, one hundred million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 897478633 1794957266 2692435899 3589914532 4487393165 5384871798 8077307697 8974786330 10769743596 11667222229 13462179495 16154615394 17949572660 23334444458 26924358990 32309230788 35001666687 40386538485 46668888916 53848717980 58336111145 70003333374 80773076970 105005000061 116672222290 140006666748 161546153940 175008333435 210010000122 233344444580 350016666870 420020000244 525025000305 700033333740 1050050000610 2100100001220