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10000312002 = 2342323311519
BaseRepresentation
bin10010101000001000…
…01010011011000010
3221210221100111010000
421110010022123002
5130440034441002
64332153220430
7502550151402
oct112404123302
927727314100
1010000312002
114271a0846a
121b31101716
13c34a994a5
146ac204802
153d7e2061c
hex25410a6c2

10000312002 has 80 divisors (see below), whose sum is σ = 23484764160. Its totient is φ = 3174545088.

The previous prime is 10000311991. The next prime is 10000312037. The reversal of 10000312002 is 20021300001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 862399 + ... + 873917.

It is an arithmetic number, because the mean of its divisors is an integer number (293559552).

Almost surely, 210000312002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000312002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11742382080).

10000312002 is an abundant number, since it is smaller than the sum of its proper divisors (13484452158).

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

10000312002 is a wasteful number, since it uses less digits than its factorization.

10000312002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11789 (or 11780 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10000312002 its reverse (20021300001), we get a palindrome (30021612003).

The spelling of 10000312002 in words is "ten billion, three hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 233 414 466 621 699 1242 1398 1863 2097 3726 4194 5359 6291 10718 11519 12582 16077 18873 23038 32154 34557 37746 48231 69114 96462 103671 144693 207342 264937 289386 311013 434079 529874 622026 794811 868158 933039 1589622 1866078 2384433 2683927 4768866 5367854 7153299 8051781 14306598 16103562 21459897 24155343 42919794 48310686 61730321 72466029 123460642 144932058 185190963 217398087 370381926 434796174 555572889 1111145778 1666718667 3333437334 5000156001 10000312002