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112227237511504 = 242937229275310369
BaseRepresentation
bin11001100001000111110000…
…101000000100000101010000
3112201100211010010212021010221
4121201013300220010011100
5104202212340300332004
61034404251533202424
732432102365144303
oct3141076050040520
9481324103767127
10112227237511504
11328393388a9765
1210706482930414
134a80ca1ac47bb
141d9db8209cb3a
15ce944beb3354
hex6611f0a04150

112227237511504 has 160 divisors (see below), whose sum is σ = 232133101236000. Its totient is φ = 52460060147712.

The previous prime is 112227237511481. The next prime is 112227237511517. The reversal of 112227237511504 is 405115732722211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 941194903104 + 111286042608400 = 970152^2 + 10549220^2 .

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, 10823337232 + ... + 10823347600.

It is an arithmetic number, because the mean of its divisors is an integer number (1450831882725).

Almost surely, 2112227237511504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112227237511504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116066550618000).

112227237511504 is an abundant number, since it is smaller than the sum of its proper divisors (119905863724496).

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

112227237511504 is a wasteful number, since it uses less digits than its factorization.

112227237511504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13425 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 112227237511504 in words is "one hundred twelve trillion, two hundred twenty-seven billion, two hundred thirty-seven million, five hundred eleven thousand, five hundred four".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 229 232 296 458 464 592 916 1073 1832 2146 2753 3664 4292 5506 6641 8473 8584 10369 11012 13282 16946 17168 20738 22024 26564 33892 41476 44048 53128 67784 79837 82952 101861 106256 135568 159674 165904 203722 245717 300701 319348 383653 407444 491434 601402 630437 638696 767306 814888 982868 1202804 1260874 1277392 1534612 1629776 1965736 2374501 2405608 2521748 2953969 3069224 3931472 4749002 4811216 5043496 5907938 6138448 9498004 10086992 11125937 11815876 18282673 18996008 22251874 23326169 23631752 28545857 36565346 37992016 44503748 46652338 47263504 57091714 68860529 73130692 87856537 89007496 93304676 114183428 137721058 146261384 175713074 178014992 186609352 228366856 275442116 292522768 351426148 373218704 456733712 550884232 676458901 702852296 827829853 1056196709 1101768464 1352917802 1405704592 1655659706 2112393418 2547839573 2705835604 3311319412 4224786836 5095679146 5411671208 6537001253 6622638824 8449573672 10191358292 10823342416 13074002506 13245277648 16899147344 20382716584 26148005012 30629704561 40765433168 52296010024 61259409122 104592020048 122518818244 189573036337 241869046361 245037636488 379146072674 483738092722 490075272976 758292145348 967476185444 1516584290696 1934952370888 3033168581392 3869904741776 7014202344469 14028404688938 28056809377876 56113618755752 112227237511504