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4012052100 = 2235274873923
BaseRepresentation
bin1110111100100011…
…0000111010000100
3101100121101100211020
43233020300322010
531204041131400
61502040111140
7201264610620
oct35710607204
911317340736
104012052100
111779776141
1293b7654b0
134bc281334
142a0bb0180
151873562a0
hexef230e84

4012052100 has 144 divisors (see below), whose sum is σ = 13297148928. Its totient is φ = 914924160.

The previous prime is 4012052069. The next prime is 4012052101. The reversal of 4012052100 is 12502104.

It is a super-2 number, since 2×40120521002 = 32193124106228820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4012052100.

It is not an unprimeable number, because it can be changed into a prime (4012052101) 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, 1020739 + ... + 1024661.

It is an arithmetic number, because the mean of its divisors is an integer number (92341312).

Almost surely, 24012052100 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 4012052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648574464).

4012052100 is an abundant number, since it is smaller than the sum of its proper divisors (9285096828).

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

4012052100 is a wasteful number, since it uses less digits than its factorization.

4012052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4012052100 is about 63340.7617573392. The cubic root of 4012052100 is about 1588.9937464464.

Adding to 4012052100 its reverse (12502104), we get a palindrome (4024554204).

The spelling of 4012052100 in words is "four billion, twelve million, fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 487 525 700 974 1050 1461 1948 2100 2435 2922 3409 3923 4870 5844 6818 7305 7846 9740 10227 11769 12175 13636 14610 15692 17045 19615 20454 23538 24350 27461 29220 34090 36525 39230 40908 47076 48700 51135 54922 58845 68180 73050 78460 82383 85225 98075 102270 109844 117690 137305 146100 164766 170450 196150 204540 235380 255675 274610 294225 329532 340900 392300 411915 511350 549220 588450 686525 823830 1022700 1176900 1373050 1647660 1910501 2059575 2746100 3821002 4119150 5731503 7642004 8238300 9552505 11463006 13373507 19105010 22926012 26747014 28657515 38210020 40120521 47762525 53494028 57315030 66867535 80241042 95525050 114630060 133735070 143287575 160482084 191050100 200602605 267470140 286575150 334337675 401205210 573150300 668675350 802410420 1003013025 1337350700 2006026050 4012052100