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23020012320 = 2535444110799
BaseRepresentation
bin10101011100000110…
…011000001100100000
32012102022012210022220
4111130012120030200
5334121110343240
614324130431040
71443312606354
oct253406301440
965368183286
1023020012320
119843218a78
124565432480
13222b278086
14118541b464
158eae645d0
hex55c198320

23020012320 has 96 divisors (see below), whose sum is σ = 72536083200. Its totient is φ = 6136719360.

The previous prime is 23020012303. The next prime is 23020012321. The reversal of 23020012320 is 2321002032.

It is a tau number, because it is divible by the number of its divisors (96).

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 23020012320.

It is not an unprimeable number, because it can be changed into a prime (23020012321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2126281 + ... + 2137079.

It is an arithmetic number, because the mean of its divisors is an integer number (755584200).

Almost surely, 223020012320 is an apocalyptic number.

23020012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23020012320 is an abundant number, since it is smaller than the sum of its proper divisors (49516070880).

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

23020012320 is a wasteful number, since it uses less digits than its factorization.

23020012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15258 (or 15250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23020012320 its reverse (2321002032), we get a palindrome (25341014352).

The spelling of 23020012320 in words is "twenty-three billion, twenty million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4441 8882 10799 13323 17764 21598 22205 26646 32397 35528 43196 44410 53292 53995 64794 66615 71056 86392 88820 106584 107990 129588 133230 142112 161985 172784 177640 213168 215980 259176 266460 323970 345568 355280 426336 431960 518352 532920 647940 710560 863920 1036704 1065840 1295880 1727840 2131680 2591760 5183520 47958359 95916718 143875077 191833436 239791795 287750154 383666872 479583590 575500308 719375385 767333744 959167180 1151000616 1438750770 1534667488 1918334360 2302001232 2877501540 3836668720 4604002464 5755003080 7673337440 11510006160 23020012320