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2111231332100 = 22521159239136111
BaseRepresentation
bin11110101110001111001…
…100011000111100000100
321110211110100012222102202
4132232033030120330010
5234042300210111400
64253515234254032
7305350165141022
oct36561714307404
97424410188382
102111231332100
11744406057a30
122a1207127318
1312411bba5b47
14742813db712
1539db824e4d5
hex1eb8f318f04

2111231332100 has 144 divisors (see below), whose sum is σ = 5103873331200. Its totient is φ = 751544976000.

The previous prime is 2111231332087. The next prime is 2111231332123. The reversal of 2111231332100 is 12331321112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15443045 + ... + 15579155.

It is an arithmetic number, because the mean of its divisors is an integer number (35443564800).

Almost surely, 22111231332100 is an apocalyptic number.

2111231332100 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 2111231332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551936665600).

2111231332100 is an abundant number, since it is smaller than the sum of its proper divisors (2992641999100).

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

2111231332100 is a wasteful number, since it uses less digits than its factorization.

2111231332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136434 (or 136427 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2111231332100 its reverse (12331321112), we get a palindrome (2123562653212).

The spelling of 2111231332100 in words is "two trillion, one hundred eleven billion, two hundred thirty-one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 239 275 295 478 550 590 649 956 1100 1180 1195 1298 1475 2390 2596 2629 2950 3245 4780 5258 5900 5975 6490 10516 11950 12980 13145 14101 16225 23900 26290 28202 32450 52580 56404 64900 65725 70505 131450 136111 141010 155111 262900 272222 282020 310222 352525 544444 620444 680555 705050 775555 1361110 1410100 1497221 1551110 2722220 2994442 3102220 3402775 3877775 5988884 6805550 7486105 7755550 8030549 13611100 14972210 15511100 16061098 29944420 32122196 32530529 37430525 40152745 65061058 74861050 80305490 88336039 130122116 149722100 160610980 162652645 176672078 200763725 325305290 353344156 357835819 401527450 441680195 650610580 715671638 803054900 813263225 883360390 1431343276 1626526450 1766720780 1789179095 1919301211 2208400975 3253052900 3578358190 3838602422 4416801950 7156716380 7677204844 8833603900 8945895475 9596506055 17891790950 19193012110 21112313321 35783581900 38386024220 42224626642 47982530275 84449253284 95965060550 105561566605 191930121100 211123133210 422246266420 527807833025 1055615666050 2111231332100