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10021323004 = 22721131149939
BaseRepresentation
bin10010101010101000…
…10100000011111100
3221212101212221210021
421111110110003330
5131010424314004
64334223421524
7503223561100
oct112524240374
927771787707
1010021323004
114282859330
121b381548a4
13c39244b34
146b0d13900
153d9bc0d54
hex2555140fc

10021323004 has 72 divisors (see below), whose sum is σ = 22973207040. Its totient is φ = 3778437600.

The previous prime is 10021322999. The next prime is 10021323029. The reversal of 10021323004 is 40032312001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8134 + ... + 141805.

It is an arithmetic number, because the mean of its divisors is an integer number (319072320).

Almost surely, 210021323004 is an apocalyptic number.

10021323004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021323004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486603520).

10021323004 is an abundant number, since it is smaller than the sum of its proper divisors (12951884036).

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

10021323004 is a wasteful number, since it uses less digits than its factorization.

10021323004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149999 (or 149990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10021323004 its reverse (40032312001), we get a palindrome (50053635005).

The spelling of 10021323004 in words is "ten billion, twenty-one million, three hundred twenty-three thousand, four".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 124 154 196 217 308 341 434 539 682 868 1078 1364 1519 2156 2387 3038 4774 6076 9548 16709 33418 66836 149939 299878 599756 1049573 1649329 2099146 3298658 4198292 4648109 6597316 7347011 9296218 11545303 14694022 18592436 23090606 29388044 32536763 46181212 51129199 65073526 80817121 102258398 130147052 161634242 204516796 227757341 323268484 357904393 455514682 715808786 911029364 1431617572 2505330751 5010661502 10021323004