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10021023132113 = 7297310113748871
BaseRepresentation
bin1001000111010011001110…
…0001100010100111010001
31022111000000022222000111002
42101310303201202213101
52303141023410211423
633151332223431345
72052665203124540
oct221646341424721
938430008860432
1010021023132113
11321398a346374
12115a184455555
13578c947ac276
1426903d264157
15125a0a90e228
hex91d338629d1

10021023132113 has 64 divisors (see below), whose sum is σ = 12217499550720. Its totient is φ = 8039388672000.

The previous prime is 10021023132077. The next prime is 10021023132151. The reversal of 10021023132113 is 31123132012001.

It is a happy number.

It is not a de Polignac number, because 10021023132113 - 26 = 10021023132049 is a prime.

It is a super-2 number, since 2×100210231321132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021023132313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205026068 + ... + 205074938.

It is an arithmetic number, because the mean of its divisors is an integer number (190898430480).

Almost surely, 210021023132113 is an apocalyptic number.

It is an amenable number.

10021023132113 is a deficient number, since it is larger than the sum of its proper divisors (2196476418607).

10021023132113 is a wasteful number, since it uses less digits than its factorization.

10021023132113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49218.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10021023132113 its reverse (31123132012001), we get a palindrome (41144155144114).

The spelling of 10021023132113 in words is "ten trillion, twenty-one billion, twenty-three million, one hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 7 29 73 101 137 203 511 707 959 2117 2929 3973 7373 10001 13837 14819 20503 27811 48871 51611 70007 96859 213817 290029 342097 401273 1010101 1417259 1496719 2030203 2808911 3567583 4935971 6695327 7070707 9920813 24973081 29292929 34551797 46867289 103459907 143143159 194164483 205050503 360325883 488758871 676228027 724219349 1002002113 1359151381 2522281181 3421312097 4733596189 10449450607 14174007259 19610612783 49364645971 73146154249 99218050813 137274289481 345552521797 1431574733159 10021023132113