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112211100002120 = 235710134711434757
BaseRepresentation
bin11001100000111000101110…
…110000010110011101001000
3112201022021110111021211221012
4121200320232300112131020
5104201431313100031440
61034353022342303052
732430661443446060
oct3140705660263510
9481267414254835
10112211100002120
1132832507683049
121070331a427a88
134a7c5cc6c3a92
141d9d090b743a0
15ce8d053a8e65
hex660e2ec16748

112211100002120 has 128 divisors (see below), whose sum is σ = 292239482376960. Its totient is φ = 37981685529600.

The previous prime is 112211100002087. The next prime is 112211100002137. The reversal of 112211100002120 is 21200001112211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112211100002095 and 112211100002104.

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, 4095782 + ... + 15530538.

It is an arithmetic number, because the mean of its divisors is an integer number (2283120956070).

Almost surely, 2112211100002120 is an apocalyptic number.

112211100002120 is a gapful number since it is divisible by the number (10) 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 112211100002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146119741188480).

112211100002120 is an abundant number, since it is smaller than the sum of its proper divisors (180028382374840).

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

112211100002120 is a wasteful number, since it uses less digits than its factorization.

112211100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11435223 (or 11435219 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112211100002120 its reverse (21200001112211), we get a palindrome (133411101114331).

The spelling of 112211100002120 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 347 404 505 694 707 808 1010 1388 1414 1735 2020 2429 2776 2828 3470 3535 4040 4858 5656 6940 7070 9716 12145 13880 14140 19432 24290 28280 35047 48580 70094 97160 140188 175235 245329 280376 350470 490658 700940 981316 1226645 1401880 1962632 2453290 4906580 9813160 11434757 22869514 45739028 57173785 80043299 91478056 114347570 160086598 228695140 320173196 400216495 457390280 640346392 800432990 1154910457 1600865980 2309820914 3201731960 3967860679 4619641828 5774552285 7935721358 8084373199 9239283656 11549104570 15871442716 16168746398 19839303395 23098209140 27775024753 31742885432 32337492796 39678606790 40421865995 46196418280 55550049506 64674985592 79357213580 80843731990 111100099012 138875123765 158714427160 161687463980 222200198024 277750247530 323374927960 400753928579 555500495060 801507857158 1111000990120 1603015714316 2003769642895 2805277500053 3206031428632 4007539285790 5610555000106 8015078571580 11221110000212 14026387500265 16030157143160 22442220000424 28052775000530 56105550001060 112211100002120