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2100255612 = 2237132197751
BaseRepresentation
bin111110100101111…
…0101101101111100
312102101000001001220
41331023311231330
513300131134422
6544223433340
7103021610130
oct17513655574
95371001056
102100255612
119885a3144
124a7455850
1327617a300
1415cd153c0
15c45b7e5c
hex7d2f5b7c

2100255612 has 144 divisors (see below), whose sum is σ = 6103544832. Its totient is φ = 550368000.

The previous prime is 2100255607. The next prime is 2100255613. The reversal of 2100255612 is 2165520012.

It is a happy number.

It is a super-2 number, since 2×21002556122 = 8822147271474989088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100255613) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2796237 + ... + 2796987.

It is an arithmetic number, because the mean of its divisors is an integer number (42385728).

Almost surely, 22100255612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100255612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051772416).

2100255612 is an abundant number, since it is smaller than the sum of its proper divisors (4003289220).

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

2100255612 is a wasteful number, since it uses less digits than its factorization.

2100255612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2100255612 is about 45828.5458202636. The cubic root of 2100255612 is about 1280.6311202449.

Adding to 2100255612 its reverse (2165520012), we get a palindrome (4265775624).

The spelling of 2100255612 in words is "two billion, one hundred million, two hundred fifty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 197 273 338 364 394 507 546 591 676 751 788 1014 1092 1182 1183 1379 1502 2028 2253 2364 2366 2561 2758 3004 3549 4137 4506 4732 5122 5257 5516 7098 7683 8274 9012 9763 10244 10514 14196 15366 15771 16548 17927 19526 21028 29289 30732 31542 33293 35854 39052 53781 58578 63084 66586 68341 71708 99879 107562 117156 126919 133172 136682 147947 199758 205023 215124 233051 253838 273364 295894 380757 399516 410046 443841 466102 507676 591788 699153 761514 820092 887682 888433 932204 1035629 1398306 1523028 1775364 1776866 1923311 2071258 2665299 2796612 3106887 3553732 3846622 4142516 5330598 5769933 6213774 7693244 10661196 11539866 12427548 13463177 23079732 25003043 26926354 40389531 50006086 53852708 75009129 80779062 100012172 150018258 161558124 175021301 300036516 350042602 525063903 700085204 1050127806 2100255612