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2010310002 = 234113193569
BaseRepresentation
bin111011111010010…
…1110010101110010
312012002202022220000
41313310232111302
513104114410002
6531251530430
7100550232051
oct16764562562
95162668800
102010310002
11941849728
124812b9a16
1326064705c
14150dc0398
15bb74c61c
hex77d2e572

2010310002 has 80 divisors (see below), whose sum is σ = 4576021560. Its totient is φ = 659570688.

The previous prime is 2010309971. The next prime is 2010310013. The reversal of 2010310002 is 2000130102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 518882841 + 1491427161 = 22779^2 + 38619^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3532774 + ... + 3533342.

Almost surely, 22010310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288010780).

2010310002 is an abundant number, since it is smaller than the sum of its proper divisors (2565711558).

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

2010310002 is a wasteful number, since it uses less digits than its factorization.

2010310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 880 counting only the distinct ones).

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

The square root of 2010310002 is about 44836.4807048903. The cubic root of 2010310002 is about 1262.0823051380.

Adding to 2010310002 its reverse (2000130102), we get a palindrome (4010440104).

The spelling of 2010310002 in words is "two billion, ten million, three hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 193 226 339 386 569 579 678 1017 1138 1158 1707 1737 2034 3051 3414 3474 5121 5211 6102 9153 10242 10422 15363 15633 18306 21809 30726 31266 43618 46089 64297 65427 92178 109817 128594 130854 192891 196281 219634 329451 385782 392562 578673 588843 658902 988353 1157346 1177686 1736019 1766529 1976706 2965059 3472038 3533058 5208057 5930118 8895177 10416114 12409321 17790354 24818642 37227963 74455926 111683889 223367778 335051667 670103334 1005155001 2010310002