Search a number
-
+
22012100111100 = 223521117392372551
BaseRepresentation
bin1010000000101000101110…
…11010000110101011111100
32212221100002002210200120210
411000110113122012223330
510341121240112023400
6114452115202312420
74431215234540541
oct500242732065374
985840062720523
1022012100111100
117017308727440
122576113958710
13c38969661b58
14561569b48bc8
152828ba2ab950
hex140517686afc

22012100111100 has 144 divisors (see below), whose sum is σ = 73565145029376. Its totient is φ = 5022368640000.

The previous prime is 22012100111047. The next prime is 22012100111129. The reversal of 22012100111100 is 111100121022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 196130176 + ... + 196242375.

It is an arithmetic number, because the mean of its divisors is an integer number (510869062704).

Almost surely, 222012100111100 is an apocalyptic number.

22012100111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012100111100 is an abundant number, since it is smaller than the sum of its proper divisors (51553044918276).

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

22012100111100 is a wasteful number, since it uses less digits than its factorization.

22012100111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392372596 (or 392372589 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22012100111100 its reverse (111100121022), we get a palindrome (22123200232122).

The spelling of 22012100111100 in words is "twenty-two trillion, twelve billion, one hundred million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 392372551 784745102 1177117653 1569490204 1961862755 2354235306 3923725510 4316098061 4708470612 5885588265 6670333367 7847451020 8632196122 9809313775 11771176530 12948294183 13340666734 17264392244 19618627550 20011000101 21580490305 23542353060 25896588366 26681333468 29427941325 33351666835 39237255100 40022000202 43160980610 51793176732 58855882650 64741470915 66703333670 73373667037 80044000404 86321961220 100055000505 107902451525 117711765300 129482941830 133406667340 146747334074 166758334175 200110001010 215804903050 220121001111 258965883660 293494668148 323707354575 333516668350 366868335185 400220002020 431609806100 440242002222 500275002525 647414709150 667033336700 733736670370 880484004444 1000550005050 1100605005555 1294829418300 1467473340740 1834341675925 2001100010100 2201210011110 3668683351850 4402420022220 5503025027775 7337366703700 11006050055550 22012100111100