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1005600010104 = 233271196713617
BaseRepresentation
bin11101010001000100110…
…11100110111101111000
310120010121222211102011200
432220202123212331320
5112433432100310404
62045544414054200
7132436464024054
oct16504233467570
93503558742150
101005600010104
11358521a98418
12142a854aa360
1373a9b5277a1
1436958094c64
151b2581dd839
hexea226e6f78

1005600010104 has 48 divisors (see below), whose sum is σ = 2761859196720. Its totient is φ = 330478874880.

The previous prime is 1005600010057. The next prime is 1005600010111. The reversal of 1005600010104 is 4010100065001.

1005600010104 is a `hidden beast` number, since 1 + 0 + 0 + 560 + 0 + 0 + 1 + 0 + 104 = 666.

It is a super-2 number, since 2×10056000101042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98351697 + ... + 98361920.

It is an arithmetic number, because the mean of its divisors is an integer number (57538733265).

Almost surely, 21005600010104 is an apocalyptic number.

It is an amenable number.

1005600010104 is an abundant number, since it is smaller than the sum of its proper divisors (1756259186616).

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

1005600010104 is a wasteful number, since it uses less digits than its factorization.

1005600010104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196713700 (or 196713693 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 1005600010104 its reverse (4010100065001), we get a palindrome (5015700075105).

The spelling of 1005600010104 in words is "one trillion, five billion, six hundred million, ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 196713617 393427234 590140851 786854468 1180281702 1573708936 1770422553 2360563404 3540845106 4721126808 7081690212 13966666807 14163380424 27933333614 41900000421 55866667228 83800000842 111733334456 125700001263 167600001684 251400002526 335200003368 502800005052 1005600010104