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23300332011300 = 22352713313304871
BaseRepresentation
bin1010100110001000010000…
…00000110011111100100100
310001111111020012101201201210
411103010020000303330210
511023223034443330200
6121320005202551420
74623251643164331
oct523041000637444
9101444205351653
1023300332011300
117473684a89013
122743916068570
13100029a66a916
145a7a563dd988
152a6165ebc650
hex153108033f24

23300332011300 has 144 divisors (see below), whose sum is σ = 68571705129984. Its totient is φ = 6107399760000.

The previous prime is 23300332011293. The next prime is 23300332011323. The reversal of 23300332011300 is 311023300332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5397865 + ... + 8702735.

It is an arithmetic number, because the mean of its divisors is an integer number (476192396736).

Almost surely, 223300332011300 is an apocalyptic number.

23300332011300 is a gapful number since it is divisible by the number (20) 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 23300332011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34285852564992).

23300332011300 is an abundant number, since it is smaller than the sum of its proper divisors (45271373118684).

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

23300332011300 is a wasteful number, since it uses less digits than its factorization.

23300332011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305290 (or 3305283 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 23300332011300 its reverse (311023300332), we get a palindrome (23611355311632).

The spelling of 23300332011300 in words is "twenty-three trillion, three hundred billion, three hundred thirty-two million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 331 355 426 662 710 852 993 1065 1324 1420 1655 1775 1986 2130 3310 3550 3972 4260 4965 5325 6620 7100 8275 9930 10650 16550 19860 21300 23501 24825 33100 47002 49650 70503 94004 99300 117505 141006 235010 282012 352515 470020 587525 705030 1175050 1410060 1762575 2350100 3304871 3525150 6609742 7050300 9914613 13219484 16524355 19829226 33048710 39658452 49573065 66097420 82621775 99146130 165243550 198292260 234645841 247865325 330487100 469291682 495730650 703937523 938583364 991461300 1093912301 1173229205 1407875046 2187824602 2346458410 2815750092 3281736903 3519687615 4375649204 4692916820 5469561505 5866146025 6563473806 7039375230 10939123010 11732292050 13126947612 14078750460 16408684515 17598438075 21878246020 23464584100 27347807525 32817369030 35196876150 54695615050 65634738060 70393752300 77667773371 82043422575 109391230100 155335546742 164086845150 233003320113 310671093484 328173690300 388338866855 466006640226 776677733710 932013280452 1165016600565 1553355467420 1941694334275 2330033201130 3883388668550 4660066402260 5825083002825 7766777337100 11650166005650 23300332011300