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1002132013100 = 225210021320131
BaseRepresentation
bin11101001010100111011…
…10010000000000101100
310112210200022011220122012
432211103232100000230
5112404331243404400
62044212330540352
7132254523364451
oct16452356200054
93483608156565
101002132013100
11357002439999
12142277b976b8
1373667bb4a5a
1436709667828
151b103a03d35
hexe953b9002c

1002132013100 has 18 divisors (see below), whose sum is σ = 2174626468644. Its totient is φ = 400852805200.

The previous prime is 1002132013087. The next prime is 1002132013109. The reversal of 1002132013100 is 13102312001.

It is a super-2 number, since 2×10021320131002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002132013109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5010659966 + ... + 5010660165.

Almost surely, 21002132013100 is an apocalyptic number.

1002132013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002132013100 is an abundant number, since it is smaller than the sum of its proper divisors (1172494455544).

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

1002132013100 is a wasteful number, since it uses less digits than its factorization.

1002132013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021320145 (or 10021320138 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1002132013100 its reverse (13102312001), we get a palindrome (1015234325101).

The spelling of 1002132013100 in words is "one trillion, two billion, one hundred thirty-two million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10021320131 20042640262 40085280524 50106600655 100213201310 200426402620 250533003275 501066006550 1002132013100