Search a number
-
+
400107701100 = 2235212497106721
BaseRepresentation
bin1011101001010000100…
…01110000001101101100
31102020202012020011010110
411310220101300031230
523023410032413400
6503450144340020
740623020226252
oct5645021601554
91366665204113
10400107701100
11144759403878
1265663314610
132b964a4a1c3
14155185da5d2
15a61b0bee50
hex5d2847036c

400107701100 has 72 divisors (see below), whose sum is σ = 1157748430608. Its totient is φ = 106685849600.

The previous prime is 400107701047. The next prime is 400107701107. The reversal of 400107701100 is 1107701004.

It is not an unprimeable number, because it can be changed into a prime (400107701107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3695740 + ... + 3802460.

It is an arithmetic number, because the mean of its divisors is an integer number (16079839314).

Almost surely, 2400107701100 is an apocalyptic number.

It is an amenable number.

400107701100 is an abundant number, since it is smaller than the sum of its proper divisors (757640729508).

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

400107701100 is a wasteful number, since it uses less digits than its factorization.

400107701100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119235 (or 119228 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 21.

The spelling of 400107701100 in words is "four hundred billion, one hundred seven million, seven hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12497 24994 37491 49988 62485 74982 106721 124970 149964 187455 213442 249940 312425 320163 374910 426884 533605 624850 640326 749820 937275 1067210 1249700 1280652 1600815 1874550 2134420 2668025 3201630 3749100 5336050 6403260 8004075 10672100 16008150 32016300 1333692337 2667384674 4001077011 5334769348 6668461685 8002154022 13336923370 16004308044 20005385055 26673846740 33342308425 40010770110 66684616850 80021540220 100026925275 133369233700 200053850550 400107701100