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42212023133100 = 223521710181949181
BaseRepresentation
bin10011001100100010000001…
…01001001110001110101100
312112110102121110200222202220
421212101000221032032230
521013100210410224400
6225435534040515340
711614501166331012
oct1146210051161654
9175412543628686
1042212023133100
11124a5022658997
124898b8117bb50
131a72766022032
14a5d103b6a8b2
154d307195d7a0
hex266440a4e3ac

42212023133100 has 144 divisors (see below), whose sum is σ = 130598149995936. Its totient is φ = 10489495040000.

The previous prime is 42212023133087. The next prime is 42212023133129. The reversal of 42212023133100 is 133132021224.

It is a super-2 number, since 2×422120231331002 (a number of 28 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 47 ways as a sum of consecutive naturals, for example, 40459491 + ... + 41489690.

It is an arithmetic number, because the mean of its divisors is an integer number (906931597194).

Almost surely, 242212023133100 is an apocalyptic number.

It is an amenable number.

42212023133100 is an abundant number, since it is smaller than the sum of its proper divisors (88386126862836).

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

42212023133100 is a wasteful number, since it uses less digits than its factorization.

42212023133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81949316 (or 81949309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42212023133100 its reverse (133132021224), we get a palindrome (42345155154324).

The spelling of 42212023133100 in words is "forty-two trillion, two hundred twelve billion, twenty-three million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 101 102 150 170 202 204 255 300 303 340 404 425 505 510 606 850 1010 1020 1212 1275 1515 1700 1717 2020 2525 2550 3030 3434 5050 5100 5151 6060 6868 7575 8585 10100 10302 15150 17170 20604 25755 30300 34340 42925 51510 85850 103020 128775 171700 257550 515100 81949181 163898362 245847543 327796724 409745905 491695086 819491810 983390172 1229237715 1393136077 1638983620 2048729525 2458475430 2786272154 4097459050 4179408231 4916950860 5572544308 6146188575 6965680385 8194918100 8276867281 8358816462 12292377150 13931360770 16553734562 16717632924 20897041155 24584754300 24830601843 27862721540 33107469124 34828401925 41384336405 41794082310 49661203686 69656803850 82768672810 83588164620 99322407372 104485205775 124153009215 139313607700 140706743777 165537345620 206921682025 208970411550 248306018430 281413487554 413843364050 417940823100 422120231331 496612036860 562826975108 620765046075 703533718885 827686728100 844240462662 1241530092150 1407067437770 1688480925324 2110601156655 2483060184300 2814134875540 3517668594425 4221202313310 7035337188850 8442404626620 10553005783275 14070674377700 21106011566550 42212023133100