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12233111331100 = 22521123483522187
BaseRepresentation
bin1011001000000011111001…
…0000010110000100011100
31121022110210120011200120011
42302000332100112010130
53100411403000043400
642003451434533004
72401545621435352
oct262007620260434
947273716150504
1012233111331100
113997040480150
121456a38297164
136a976786856a
1430412b4117d2
151633282048ba
hexb203e41611c

12233111331100 has 72 divisors (see below), whose sum is σ = 30218202661248. Its totient is φ = 4254995236800.

The previous prime is 12233111331059. The next prime is 12233111331109. The reversal of 12233111331100 is 113311133221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233111331109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 241735794 + ... + 241786393.

It is an arithmetic number, because the mean of its divisors is an integer number (419697259184).

Almost surely, 212233111331100 is an apocalyptic number.

12233111331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12233111331100 is an abundant number, since it is smaller than the sum of its proper divisors (17985091330148).

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

12233111331100 is a wasteful number, since it uses less digits than its factorization.

12233111331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483522235 (or 483522228 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12233111331100 its reverse (113311133221), we get a palindrome (12346422464321).

The spelling of 12233111331100 in words is "twelve trillion, two hundred thirty-three billion, one hundred eleven million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 483522187 967044374 1934088748 2417610935 4835221870 5318744057 9670443740 10637488114 11121010301 12088054675 21274976228 22242020602 24176109350 26593720285 44484041204 48352218700 53187440570 55605051505 106374881140 111210103010 122331113311 132968601425 222420206020 244662226622 265937202850 278025257525 489324453244 531874405700 556050515050 611655566555 1112101030100 1223311133110 2446622266220 3058277832775 6116555665550 12233111331100