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1002305133132 = 223146639569599
BaseRepresentation
bin11101001010111100000…
…10101001101001001100
310112211010100221022200020
432211132002221221030
5112410210103230012
62044241433302140
7132262025026542
oct16453602515114
93484110838606
101002305133132
113570911325a6
12142305b64950
1373694a1a244
143672464dd92
151b113ceda8c
hexe95e0a9a4c

1002305133132 has 24 divisors (see below), whose sum is σ = 2338732032000. Its totient is φ = 334098846096.

The previous prime is 1002305133113. The next prime is 1002305133139. The reversal of 1002305133132 is 2313315032001.

It is not an unprimeable number, because it can be changed into a prime (1002305133139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1474869 + ... + 2044467.

It is an arithmetic number, because the mean of its divisors is an integer number (97447168000).

Almost surely, 21002305133132 is an apocalyptic number.

1002305133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002305133132 is an abundant number, since it is smaller than the sum of its proper divisors (1336426898868).

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

1002305133132 is a wasteful number, since it uses less digits than its factorization.

1002305133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716245 (or 716243 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 1002305133132 in words is "one trillion, two billion, three hundred five million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 146639 293278 439917 569599 586556 879834 1139198 1708797 1759668 2278396 3417594 6835188 83525427761 167050855522 250576283283 334101711044 501152566566 1002305133132