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2230131201100 = 22521117294112357
BaseRepresentation
bin100000011100111110001…
…011011001010001001100
321220012100200022010220121
4200130332023121101030
5243014302041413400
64424301431154324
7320056505303305
oct40347613312114
97805320263817
102230131201100
1178a87aa18380
1230026a5159a4
131323ba194a0a
1479d205ad7ac
153d02684521a
hex2073e2d944c

2230131201100 has 144 divisors (see below), whose sum is σ = 5782633325280. Its totient is φ = 736934195200.

The previous prime is 2230131201043. The next prime is 2230131201119. The reversal of 2230131201100 is 11021310322.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1513879 + ... + 2598478.

It is an arithmetic number, because the mean of its divisors is an integer number (40157175870).

Almost surely, 22230131201100 is an apocalyptic number.

2230131201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230131201100 is an abundant number, since it is smaller than the sum of its proper divisors (3552502124180).

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

2230131201100 is a wasteful number, since it uses less digits than its factorization.

2230131201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112428 (or 4112421 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2230131201100 its reverse (11021310322), we get a palindrome (2241152511422).

The spelling of 2230131201100 in words is "two trillion, two hundred thirty billion, one hundred thirty-one million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 29 34 44 50 55 58 68 85 100 110 116 145 170 187 220 275 290 319 340 374 425 493 550 580 638 725 748 850 935 986 1100 1276 1450 1595 1700 1870 1972 2465 2900 3190 3740 4675 4930 5423 6380 7975 9350 9860 10846 12325 15950 18700 21692 24650 27115 31900 49300 54230 108460 135575 271150 542300 4112357 8224714 16449428 20561785 41123570 45235927 69910069 82247140 90471854 102808925 119258353 139820138 180943708 205617850 226179635 238516706 279640276 349550345 411235700 452359270 477033412 596291765 699100690 769010759 904718540 1130898175 1192583530 1311841883 1398201380 1538021518 1747751725 2027392001 2261796350 2385167060 2623683766 2981458825 3076043036 3495503450 3845053795 4054784002 4523592700 5247367532 5962917650 6559209415 6991006900 7690107590 8109568004 10136960005 11925835300 13118418830 15380215180 19225268975 20273920010 22301312011 26236837660 32796047075 38450537950 40547840020 44602624022 50684800025 65592094150 76901075900 89205248044 101369600050 111506560055 131184188300 202739200100 223013120110 446026240220 557532800275 1115065600550 2230131201100