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101412241392 = 24371155749261
BaseRepresentation
bin101111001110010100…
…0111111111111110000
3100200202121000122020110
41132130220333333300
53130143013211032
6114331012141320
710220042554230
oct1363450777760
9320677018213
10101412241392
113a010625a50
12177a2907840
139742286037
144ca083bcc0
1529881eb7cc
hex179ca3fff0

101412241392 has 160 divisors (see below), whose sum is σ = 327219485184. Its totient is φ = 26293017600.

The previous prime is 101412241387. The next prime is 101412241409. The reversal of 101412241392 is 293142214101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2034042 + ... + 2083302.

Almost surely, 2101412241392 is an apocalyptic number.

101412241392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101412241392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163609742592).

101412241392 is an abundant number, since it is smaller than the sum of its proper divisors (225807243792).

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

101412241392 is a wasteful number, since it uses less digits than its factorization.

101412241392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49847 (or 49841 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 101412241392 its reverse (293142214101), we get a palindrome (394554455493).

The spelling of 101412241392 in words is "one hundred one billion, four hundred twelve million, two hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 557 616 924 1114 1232 1671 1848 2228 3342 3696 3899 4456 6127 6684 7798 8912 11697 12254 13368 15596 18381 23394 24508 26736 31192 36762 42889 46788 49016 49261 62384 73524 85778 93576 98032 98522 128667 147048 147783 171556 187152 197044 257334 294096 295566 343112 344827 394088 514668 541871 591132 686224 689654 788176 1029336 1034481 1083742 1182264 1379308 1625613 2058672 2068962 2167484 2364528 2758616 3251226 3793097 4137924 4334968 5517232 6502452 7586194 8275848 8669936 11379291 13004904 15172388 16551696 22758582 26009808 27438377 30344776 45517164 54876754 60689552 82315131 91034328 109753508 164630262 182068656 192068639 219507016 301822147 329260524 384137278 439014032 576205917 603644294 658521048 768274556 905466441 1152411834 1207288588 1317042096 1536549112 1810932882 2112755029 2304823668 2414577176 3073098224 3621865764 4225510058 4609647336 4829154352 6338265087 7243731528 8451020116 9219294672 12676530174 14487463056 16902040232 25353060348 33804080464 50706120696 101412241392