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10010021010112 = 2631101431115903
BaseRepresentation
bin1001000110101010001110…
…1111110001101011000000
31022102221121120112022102001
42101222203233301223000
52303001010334310422
633142312402033344
72052125436463234
oct221524357615300
938387546468361
1010010021010112
11320a253999262
121158013948854
13577c302c0ac6
142686b7da05c4
151255b4aa1227
hex91aa3bf1ac0

10010021010112 has 112 divisors (see below), whose sum is σ = 20755635830784. Its totient is φ = 4784434560000.

The previous prime is 10010021010107. The next prime is 10010021010131. The reversal of 10010021010112 is 21101012001001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86307553 + ... + 86423455.

Almost surely, 210010021010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010021010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377817915392).

10010021010112 is an abundant number, since it is smaller than the sum of its proper divisors (10745614820672).

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

10010021010112 is a wasteful number, since it uses less digits than its factorization.

10010021010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116478 (or 116468 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10010021010112 its reverse (21101012001001), we get a palindrome (31111033011113).

The spelling of 10010021010112 in words is "ten trillion, ten billion, twenty-one million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 101 124 202 248 404 431 496 808 862 992 1616 1724 1984 3131 3232 3448 6262 6464 6896 12524 13361 13792 25048 26722 27584 43531 50096 53444 87062 100192 106888 115903 174124 200384 213776 231806 348248 427552 463612 696496 855104 927224 1349461 1392992 1854448 2698922 2785984 3592993 3708896 5397844 7185986 7417792 10795688 11706203 14371972 21591376 23412406 28743944 43182752 46824812 49954193 57487888 86365504 93649624 99908386 114975776 187299248 199816772 229951552 362892293 374598496 399633544 725784586 749196992 799267088 1451569172 1548579983 1598534176 2903138344 3097159966 3197068352 5045373493 5806276688 6194319932 10090746986 11612553376 12388639864 20181493972 23225106752 24777279728 40362987944 49554559456 80725975888 99109118912 156406578283 161451951776 312813156566 322903903552 625626313132 1251252626264 2502505252528 5005010505056 10010021010112