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22011002112200 = 2352316158199371
BaseRepresentation
bin1010000000100110101011…
…11101100100100011001000
32212221020020120201120020212
411000103111331210203020
510341112013020042300
6114451414220340252
74431146102650553
oct500232575444310
985836216646225
1022011002112200
1170168a4959632
122575a680a4688
13c38823031c6a
145614a3dab69a
15282853bbd935
hex1404d5f648c8

22011002112200 has 96 divisors (see below), whose sum is σ = 53692412632320. Its totient is φ = 8380709280000.

The previous prime is 22011002112109. The next prime is 22011002112221. The reversal of 22011002112200 is 221120011022.

It is a super-2 number, since 2×220110021122002 (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 28721486 + ... + 29477885.

It is an arithmetic number, because the mean of its divisors is an integer number (559295964920).

Almost surely, 222011002112200 is an apocalyptic number.

22011002112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011002112200 is an abundant number, since it is smaller than the sum of its proper divisors (31681410520120).

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

22011002112200 is a wasteful number, since it uses less digits than its factorization.

22011002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58199479 (or 58199470 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22011002112200 its reverse (221120011022), we get a palindrome (22232122123222).

The spelling of 22011002112200 in words is "twenty-two trillion, eleven billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 61 62 100 122 124 155 200 244 248 305 310 488 610 620 775 1220 1240 1525 1550 1891 2440 3050 3100 3782 6100 6200 7564 9455 12200 15128 18910 37820 47275 75640 94550 189100 378200 58199371 116398742 232797484 290996855 465594968 581993710 1163987420 1454984275 1804180501 2327974840 2909968550 3550161631 3608361002 5819937100 7100323262 7216722004 9020902505 11639874200 14200646524 14433444008 17750808155 18041805010 28401293048 35501616310 36083610020 45104512525 71003232620 72167220040 88754040775 90209025050 110055010561 142006465240 177508081550 180418050100 220110021122 355016163100 360836100200 440220042244 550275052805 710032326200 880440084488 1100550105610 2201100211220 2751375264025 4402200422440 5502750528050 11005501056100 22011002112200