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1000021011093 = 3213113541139813
BaseRepresentation
bin11101000110101011110…
…01011010101010010101
310112121020011221220021200
432203111321122222111
5112341020334323333
62043223040503113
7132151311225606
oct16432571325225
93477204856250
101000021011093
11356119876935
1214198901aa99
13733bc744240
1436589155dad
151b02d516c13
hexe8d5e5aa95

1000021011093 has 48 divisors (see below), whose sum is σ = 1572266592624. Its totient is φ = 608819742720.

The previous prime is 1000021011049. The next prime is 1000021011107. The reversal of 1000021011093 is 3901101200001.

It can be written as a sum of positive squares in 8 ways, for example, as 345722832324 + 654298178769 = 587982^2 + 808887^2 .

It is not a de Polignac number, because 1000021011093 - 212 = 1000021006997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000021011013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7082655 + ... + 7222467.

It is an arithmetic number, because the mean of its divisors is an integer number (32755554013).

Almost surely, 21000021011093 is an apocalyptic number.

1000021011093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000021011093 is a deficient number, since it is larger than the sum of its proper divisors (572245581531).

1000021011093 is a wasteful number, since it uses less digits than its factorization.

1000021011093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140486 (or 140483 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1000021011093 its reverse (3901101200001), we get a palindrome (4901122211094).

The spelling of 1000021011093 in words is "one trillion, twenty-one million, eleven thousand, ninety-three".

Divisors: 1 3 9 13 39 113 117 339 541 1017 1469 1623 4407 4869 7033 13221 21099 61133 63297 139813 183399 419439 550197 794729 1258317 1817569 2384187 5452707 7152561 15798869 16358121 47396607 75638833 142189821 205385297 226916499 616155891 680749497 983304829 1848467673 2949914487 8547188129 8849743461 25641564387 76924693161 111113445677 333340337031 1000021011093