Search a number
-
+
23013200020110 = 2351926473284311
BaseRepresentation
bin1010011101110001011011…
…00111001100001010001110
310000111001002110220021120120
411032320231213030022032
511004022013201120420
6120540041303525410
74563435356423436
oct516705547141216
9100431073807516
1023013200020110
117372930505243
1226b8142159866
13cac19b778b11
14597bb82a92c6
1529d95d38bd40
hex14ee2d9cc28e

23013200020110 has 96 divisors (see below), whose sum is σ = 58381719916032. Its totient is φ = 5804873415360.

The previous prime is 23013200020103. The next prime is 23013200020121. The reversal of 23013200020110 is 1102000231032.

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 23013200020110.

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, 5364855 + ... + 8649165.

It is an arithmetic number, because the mean of its divisors is an integer number (608142915792).

Almost surely, 223013200020110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23013200020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29190859958016).

23013200020110 is an abundant number, since it is smaller than the sum of its proper divisors (35368519895922).

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

23013200020110 is a wasteful number, since it uses less digits than its factorization.

23013200020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285006 (or 3284987 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23013200020110 its reverse (1102000231032), we get a palindrome (24115200251142).

The spelling of 23013200020110 in words is "twenty-three trillion, thirteen billion, two hundred million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 647 722 1083 1294 1805 1941 2166 3235 3610 3882 5415 6470 9705 10830 12293 19410 24586 36879 61465 73758 122930 184395 233567 368790 467134 700701 1167835 1401402 2335670 3284311 3503505 6568622 7007010 9852933 16421555 19705866 32843110 49264665 62401909 98529330 124803818 187205727 312009545 374411454 624019090 936028635 1185636271 1872057270 2124949217 2371272542 3556908813 4249898434 5928181355 6374847651 7113817626 10624746085 11856362710 12749695302 17784544065 21249492170 31874238255 35569088130 40374035123 63748476510 80748070246 121122105369 201870175615 242244210738 403740351230 605610526845 767106667337 1211221053690 1534213334674 2301320002011 3835533336685 4602640004022 7671066673370 11506600010055 23013200020110