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23003021310 = 23553614872
BaseRepresentation
bin10101011011000101…
…100011111111111110
32012101010020120001020
4111123011203333332
5334102233140220
614322322325010
71443015312033
oct253305437776
965333216036
1023003021310
119834673415
12455b7b9766
1322278a9419
14118307738a
158e970a040
hex55b163ffe

23003021310 has 96 divisors (see below), whose sum is σ = 57288645792. Its totient is φ = 5907582720.

The previous prime is 23003021309. The next prime is 23003021333. The reversal of 23003021310 is 1312030032.

It is a super-2 number, since 2×230030213102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23003021310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47233887 + ... + 47234373.

It is an arithmetic number, because the mean of its divisors is an integer number (596756727).

Almost surely, 223003021310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23003021310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28644322896).

23003021310 is an abundant number, since it is smaller than the sum of its proper divisors (34285624482).

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

23003021310 is an equidigital number, since it uses as much as digits as its factorization.

23003021310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23003021310 its reverse (1312030032), we get a palindrome (24315051342).

The spelling of 23003021310 in words is "twenty-three billion, three million, twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 61 106 122 159 183 265 305 318 366 487 530 610 795 915 974 1461 1590 1830 2435 2922 3233 4870 6466 7305 9699 14610 16165 19398 25811 29707 32330 48495 51622 59414 77433 89121 96990 129055 148535 154866 178242 237169 258110 297070 387165 445605 474338 711507 774330 891210 1185845 1423014 1574471 2371690 3148942 3557535 4723413 7115070 7872355 9446826 12569957 14467309 15744710 23617065 25139914 28934618 37709871 43401927 47234130 62849785 72336545 75419742 86803854 125699570 144673090 188549355 217009635 377098710 434019270 766767377 1533534754 2300302131 3833836885 4600604262 7667673770 11501510655 23003021310