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10001100000100 = 22521110784971113
BaseRepresentation
bin1001000110001001000000…
…0000110100101101100100
31022102002120212002001021211
42101202100000310231210
52302324223100000400
633134235241521204
72051361403240546
oct221422000645544
938362525061254
1010001100000100
113206496249410
1211563441a3204
1357713b009261
142680ad26b696
151252417c8dba
hex91890034b64

10001100000100 has 72 divisors (see below), whose sum is σ = 23896596332448. Its totient is φ = 3602775148800.

The previous prime is 10001100000083. The next prime is 10001100000109. The reversal of 10001100000100 is 100000110001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 10001100000100.

It is not an unprimeable number, because it can be changed into a prime (10001100000109) 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, 42367857 + ... + 42603256.

It is an arithmetic number, because the mean of its divisors is an integer number (331897171284).

Almost surely, 210001100000100 is an apocalyptic number.

10001100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001100000100 is an abundant number, since it is smaller than the sum of its proper divisors (13895496332348).

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

10001100000100 is a wasteful number, since it uses less digits than its factorization.

10001100000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84971245 (or 84971238 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10001100000100 its reverse (100000110001), we get a palindrome (10101100110101).

The spelling of 10001100000100 in words is "ten trillion, one billion, one hundred million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700 84971113 169942226 339884452 424855565 849711130 934682243 1699422260 1869364486 2124277825 3738728972 4248555650 4673411215 8497111300 9091909091 9346822430 18183818182 18693644860 23367056075 36367636364 45459545455 46734112150 90919090910 93468224300 100011000001 181838181820 200022000002 227297727275 400044000004 454595454550 500055000005 909190909100 1000110000010 2000220000020 2500275000025 5000550000050 10001100000100