Search a number
-
+
22121034102200 = 23521123437174587
BaseRepresentation
bin1010000011110011101000…
…11000010011010110111000
32220022202020220022210122202
411001321310120103112320
510344412334212232300
6115014132432005332
74442122563305405
oct501716430232670
986282226283582
1022121034102200
117059529069260
122593255690848
13c4600a04c857
1456694151b2ac
152856439d4ad5
hex141e746135b8

22121034102200 has 96 divisors (see below), whose sum is σ = 58546420824960. Its totient is φ = 7694272713600.

The previous prime is 22121034102151. The next prime is 22121034102301. The reversal of 22121034102200 is 220143012122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218536694 + ... + 218637893.

It is an arithmetic number, because the mean of its divisors is an integer number (609858550260).

Almost surely, 222121034102200 is an apocalyptic number.

22121034102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121034102200 is an abundant number, since it is smaller than the sum of its proper divisors (36425386722760).

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

22121034102200 is a wasteful number, since it uses less digits than its factorization.

22121034102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437174637 (or 437174628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22121034102200 its reverse (220143012122), we get a palindrome (22341177114322).

The spelling of 22121034102200 in words is "twenty-two trillion, one hundred twenty-one billion, thirty-four million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 437174587 874349174 1748698348 2185872935 3497396696 4371745870 4808920457 8743491740 9617840914 10055015501 10929364675 17486983480 19235681828 20110031002 21858729350 24044602285 38471363656 40220062004 43717458700 48089204570 50275077505 80440124008 87434917400 96178409140 100550155010 110605170511 120223011425 192356818280 201100310020 221210341022 240446022850 251375387525 402200620040 442420682044 480892045700 502750775050 553025852555 884841364088 961784091400 1005501550100 1106051705110 2011003100200 2212103410220 2765129262775 4424206820440 5530258525550 11060517051100 22121034102200