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10100782204 = 22193115712729
BaseRepresentation
bin10010110100000110…
…11011010001111100
3222001221101220022121
421122003123101330
5131141300012304
64350142452324
7505210142422
oct113203332174
928057356277
1010100782204
1143136a0197
121b5a8940a4
13c4c846006
146bb6b9112
153e1b69554
hex25a0db47c

10100782204 has 48 divisors (see below), whose sum is σ = 19226188800. Its totient is φ = 4625596800.

The previous prime is 10100782199. The next prime is 10100782217. The reversal of 10100782204 is 40228700101.

It is a happy number.

10100782204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101007822043 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3699912 + ... + 3702640.

It is an arithmetic number, because the mean of its divisors is an integer number (400545600).

Almost surely, 210100782204 is an apocalyptic number.

It is an amenable number.

10100782204 is a deficient number, since it is larger than the sum of its proper divisors (9125406596).

10100782204 is a wasteful number, since it uses less digits than its factorization.

10100782204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The spelling of 10100782204 in words is "ten billion, one hundred million, seven hundred eighty-two thousand, two hundred four".

Divisors: 1 2 4 19 31 38 62 76 124 589 1178 1571 2356 2729 3142 5458 6284 10916 29849 48701 51851 59698 84599 97402 103702 119396 169198 194804 207404 338396 925319 1607381 1850638 3214762 3701276 4287259 6429524 8574518 17149036 81457921 132905029 162915842 265810058 325831684 531620116 2525195551 5050391102 10100782204