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112120001112112 = 24710138350351449
BaseRepresentation
bin11001011111100011111000…
…110101101010100000110000
3112200222120022122122202002221
4121133203320311222200300
5104143433230241041422
61034243114545050424
732421255101611420
oct3137437065524060
9480876278582087
10112120001112112
11327a79097356a4
12106a9735626a14
134a73b4201c136
141d988cbd46480
15ce67728153c7
hex65f8f8d6a830

112120001112112 has 160 divisors (see below), whose sum is σ = 251883078451200. Its totient is φ = 47356196505600.

The previous prime is 112120001112101. The next prime is 112120001112169. The reversal of 112120001112112 is 211211100021211.

It is a super-2 number, since 2×1121200011121122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 2179219764 + ... + 2179271212.

It is an arithmetic number, because the mean of its divisors is an integer number (1574269240320).

Almost surely, 2112120001112112 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 112120001112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125941539225600).

112120001112112 is an abundant number, since it is smaller than the sum of its proper divisors (139763077339088).

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

112120001112112 is a wasteful number, since it uses less digits than its factorization.

112120001112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52451 (or 52445 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 112120001112112 its reverse (211211100021211), we get a palindrome (323331101133323).

The spelling of 112120001112112 in words is "one hundred twelve trillion, one hundred twenty billion, one million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 383 404 503 707 766 808 1006 1414 1532 1616 2012 2681 2828 3064 3521 4024 5362 5656 6128 7042 8048 10724 11312 14084 21448 28168 38683 42896 50803 51449 56336 77366 101606 102898 154732 192649 203212 205796 270781 309464 355621 360143 385298 406424 411592 541562 618928 711242 720286 770596 812848 823184 1083124 1348543 1422484 1440572 1541192 2166248 2697086 2844968 2881144 3082384 4332496 5196349 5394172 5689936 5762288 10392698 10788344 19457549 19704967 20785396 21576688 25878847 36374443 38915098 39409934 41570792 51757694 72748886 77830196 78819868 83141584 103515388 136202843 137934769 145497772 155660392 157639736 181151929 207030776 272405686 275869538 290995544 311320784 315279472 362303858 414061552 544811372 551739076 581991088 724607716 1089622744 1103478152 1449215432 1990201667 2179245488 2206956304 2613763547 2898430864 3980403334 5227527094 7960806668 9911598401 10455054188 13931411669 15921613336 18296344829 19823196802 20910108376 27862823338 31843226672 36592689658 39646393604 41820216752 55725646676 69381188807 73185379316 79292787208 111451293352 138762377614 146370758632 158585574416 222902586704 277524755228 292741517264 555049510456 1001071438501 1110099020912 2002142877002 4004285754004 7007500069507 8008571508008 14015000139014 16017143016016 28030000278028 56060000556056 112120001112112