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10400243100 = 22352132205133
BaseRepresentation
bin10011010111110011…
…10001110110011100
3222211210220002102220
421223321301312130
5132244430234400
64440001145340
7515504415312
oct115371616634
928753802386
1010400243100
114457736635
12202302b250
13c998b5600
1470938c0b2
1540d0bd7a0
hex26be71d9c

10400243100 has 108 divisors (see below), whose sum is σ = 32584305096. Its totient is φ = 2560047360.

The previous prime is 10400243093. The next prime is 10400243111. The reversal of 10400243100 is 134200401.

It is a super-2 number, since 2×104002431002 (a number of 21 digits) 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 10400243100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51867 + ... + 153266.

Almost surely, 210400243100 is an apocalyptic number.

10400243100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400243100 is an abundant number, since it is smaller than the sum of its proper divisors (22184061996).

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

10400243100 is a wasteful number, since it uses less digits than its factorization.

10400243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205176 (or 205156 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10400243100 its reverse (134200401), we get a palindrome (10534443501).

The spelling of 10400243100 in words is "ten billion, four hundred million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2535 3380 3900 4225 5070 8450 10140 12675 16900 25350 50700 205133 410266 615399 820532 1025665 1230798 2051330 2461596 2666729 3076995 4102660 5128325 5333458 6153990 8000187 10256650 10666916 12307980 13333645 15384975 16000374 20513300 26667290 30769950 32000748 34667477 40000935 53334580 61539900 66668225 69334954 80001870 104002431 133336450 138669908 160003740 173337385 200004675 208004862 266672900 346674770 400009350 416009724 520012155 693349540 800018700 866686925 1040024310 1733373850 2080048620 2600060775 3466747700 5200121550 10400243100