Search a number
-
+
10476100100 = 2252187755813
BaseRepresentation
bin10011100000110110…
…01001101000000100
31000001002122000200102
421300123021220010
5132423340200400
64451311103232
7520415244614
oct116033115004
930032560612
1010476100100
114496538074
122044511b18
13cac524ccb
14715496a44
15414aa49d5
hex2706c9a04

10476100100 has 36 divisors (see below), whose sum is σ = 22745656164. Its totient is φ = 4188132480.

The previous prime is 10476100093. The next prime is 10476100127. The reversal of 10476100100 is 100167401.

It can be written as a sum of positive squares in 6 ways, for example, as 5080516 + 10471019584 = 2254^2 + 102328^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159794 + ... + 215606.

Almost surely, 210476100100 is an apocalyptic number.

10476100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10476100100 is an abundant number, since it is smaller than the sum of its proper divisors (12269556064).

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

10476100100 is a wasteful number, since it uses less digits than its factorization.

10476100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57704 (or 57697 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10476100100 its reverse (100167401), we get a palindrome (10576267501).

The spelling of 10476100100 in words is "ten billion, four hundred seventy-six million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1877 3754 7508 9385 18770 37540 46925 55813 93850 111626 187700 223252 279065 558130 1116260 1395325 2790650 5581300 104761001 209522002 419044004 523805005 1047610010 2095220020 2619025025 5238050050 10476100100