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1002132231320 = 235112277573253
BaseRepresentation
bin11101001010100111011…
…11000101010010011000
310112210200022120222222102
432211103233011102120
5112404331322400240
62044212335342532
7132254525263613
oct16452357052230
93483608528872
101002132231320
11357002578940
12142278081a48
1373667c6018c
14367096c317a
151b103a48815
hexe953bc5498

1002132231320 has 32 divisors (see below), whose sum is σ = 2459779114320. Its totient is φ = 364411720320.

The previous prime is 1002132231307. The next prime is 1002132231329. The reversal of 1002132231320 is 231322312001.

1002132231320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1002132231292 and 1002132231301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002132231329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1138786187 + ... + 1138787066.

Almost surely, 21002132231320 is an apocalyptic number.

1002132231320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002132231320 is an abundant number, since it is smaller than the sum of its proper divisors (1457646883000).

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

1002132231320 is a wasteful number, since it uses less digits than its factorization.

1002132231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277573275 (or 2277573271 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1002132231320 its reverse (231322312001), we get a palindrome (1233454543321).

The spelling of 1002132231320 in words is "one trillion, two billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2277573253 4555146506 9110293012 11387866265 18220586024 22775732530 25053305783 45551465060 50106611566 91102930120 100213223132 125266528915 200426446264 250533057830 501066115660 1002132231320