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223131122013300 = 223529716379120079
BaseRepresentation
bin110010101110111111000011…
…010001000001010001110100
31002021001010102112120021012020
4302232333003101001101310
5213221240014213411200
62110321004454553140
764666456132326624
oct6256770321012164
91067033375507166
10223131122013300
11651074173a6406
12210383813687b0
139767236564917
143d15865272884
151abe244c60ea0
hexcaefc3441474

223131122013300 has 144 divisors (see below), whose sum is σ = 646364280038400. Its totient is φ = 59430540758400.

The previous prime is 223131122013287. The next prime is 223131122013341. The reversal of 223131122013300 is 3310221131322.

It is a super-3 number, since 3×2231311220133003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1858142661 + ... + 1858262739.

It is an arithmetic number, because the mean of its divisors is an integer number (4488640833600).

Almost surely, 2223131122013300 is an apocalyptic number.

223131122013300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223131122013300 is an abundant number, since it is smaller than the sum of its proper divisors (423233158025100).

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

223131122013300 is a wasteful number, since it uses less digits than its factorization.

223131122013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127446 (or 127439 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 223131122013300 its reverse (3310221131322), we get a palindrome (226441343144622).

The spelling of 223131122013300 in words is "two hundred twenty-three trillion, one hundred thirty-one billion, one hundred twenty-two million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 971 1942 2913 3884 4855 5826 6379 9710 11652 12758 14565 19137 19420 24275 25516 29130 31895 38274 48550 58260 63790 72825 76548 95685 97100 120079 127580 145650 159475 191370 240158 291300 318950 360237 382740 478425 480316 600395 637900 720474 956850 1200790 1440948 1801185 1913700 2401580 3001975 3602370 6003950 6194009 7204740 9005925 12007900 12388018 18011850 18582027 24776036 30970045 36023700 37164054 61940090 74328108 92910135 116596709 123880180 154850225 185820270 233193418 309700450 349790127 371640540 464550675 466386836 582983545 619400900 699580254 765983941 929101350 1165967090 1399160508 1531967882 1748950635 1858202700 2297951823 2331934180 2914917725 3063935764 3497901270 3829919705 4595903646 5829835450 6995802540 7659839410 8744753175 9191807292 11489759115 11659670900 15319678820 17489506350 19149598525 22979518230 34979012700 38299197050 45959036460 57448795575 76598394100 114897591150 229795182300 743770406711 1487540813422 2231311220133 2975081626844 3718852033555 4462622440266 7437704067110 8925244880532 11156556100665 14875408134220 18594260167775 22313112201330 37188520335550 44626224402660 55782780503325 74377040671100 111565561006650 223131122013300