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23003113200 = 2435229661009
BaseRepresentation
bin10101011011000101…
…111010011011110000
32012101010102020002120
4111123011322123300
5334102244110300
614322324314240
71443016143654
oct253305723360
965333366076
1023003113200
119834726461
12455b842980
13222790c1b2
14118309ca64
158e97273a0
hex55b17a6f0

23003113200 has 120 divisors (see below), whose sum is σ = 76227673200. Its totient is φ = 5922631680.

The previous prime is 23003113193. The next prime is 23003113201. The reversal of 23003113200 is 231130032.

It is a tau number, because it is divible by the number of its divisors (120).

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 23003113200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003113201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 295705 + ... + 365304.

It is an arithmetic number, because the mean of its divisors is an integer number (635230610).

Almost surely, 223003113200 is an apocalyptic number.

23003113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23003113200 is an abundant number, since it is smaller than the sum of its proper divisors (53224560000).

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

23003113200 is a wasteful number, since it uses less digits than its factorization.

23003113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661059 (or 661048 counting only the distinct ones).

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

Adding to 23003113200 its reverse (231130032), we get a palindrome (23234243232).

The spelling of 23003113200 in words is "twenty-three billion, three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 145 150 174 200 232 240 290 300 348 400 435 464 580 600 696 725 870 1160 1200 1392 1450 1740 2175 2320 2900 3480 4350 5800 6960 8700 11600 17400 34800 661009 1322018 1983027 2644036 3305045 3966054 5288072 6610090 7932108 9915135 10576144 13220180 15864216 16525225 19169261 19830270 26440360 31728432 33050450 38338522 39660540 49575675 52880720 57507783 66100900 76677044 79321080 95846305 99151350 115015566 132201800 153354088 158642160 191692610 198302700 230031132 264403600 287538915 306708176 383385220 396605400 460062264 479231525 575077830 766770440 793210800 920124528 958463050 1150155660 1437694575 1533540880 1916926100 2300311320 2875389150 3833852200 4600622640 5750778300 7667704400 11501556600 23003113200