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1002309902128 = 243115720696221
BaseRepresentation
bin11101001010111100101…
…00110101111100110000
310112211010200220121111201
432211132110311330300
5112410212313332003
62044242123420544
7132262113411403
oct16453624657460
93484120817451
101002309902128
1135709389a617
12142307684754
13736959c9b32
1436725131d3a
151b114441b1d
hexe95e535f30

1002309902128 has 80 divisors (see below), whose sum is σ = 2018687581440. Its totient is φ = 481589222400.

The previous prime is 1002309902123. The next prime is 1002309902129. The reversal of 1002309902128 is 8212099032001.

It is not an unprimeable number, because it can be changed into a prime (1002309902123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161114058 + ... + 161120278.

It is an arithmetic number, because the mean of its divisors is an integer number (25233594768).

Almost surely, 21002309902128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002309902128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009343790720).

1002309902128 is an abundant number, since it is smaller than the sum of its proper divisors (1016377679312).

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

1002309902128 is a wasteful number, since it uses less digits than its factorization.

1002309902128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 1002309902128 in words is "one trillion, two billion, three hundred nine million, nine hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 124 157 248 314 496 628 1256 2069 2512 4138 4867 6221 8276 9734 12442 16552 19468 24884 33104 38936 49768 64139 77872 99536 128278 192851 256556 324833 385702 513112 649666 771404 976697 1026224 1299332 1542808 1953394 2598664 3085616 3906788 5197328 7813576 10069823 12871249 15627152 20139646 25742498 30277607 40279292 51484996 60555214 80558584 102969992 121110428 161117168 205939984 242220856 399008719 484441712 798017438 1596034876 2020786093 3192069752 4041572186 6384139504 8083144372 16166288744 32332577488 62644368883 125288737766 250577475532 501154951064 1002309902128