Search a number
-
+
111010100000112 = 243237186711159737
BaseRepresentation
bin11001001111011010001101…
…100100111011010101110000
3112120001110110201220101002100
4121033122031210323111300
5104022242141100000422
61032033200320220400
732245133523043215
oct3117321544732560
9476043421811070
10111010100000112
113240a134471715
121054a601a6a700
1349c3290b9b011
141d5acbb8dbb0c
15cc79629db7ac
hex64f68d93b570

111010100000112 has 120 divisors (see below), whose sum is σ = 319241625403376. Its totient is φ = 35983988425728.

The previous prime is 111010100000081. The next prime is 111010100000153. The reversal of 111010100000112 is 211000001010111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111010100000094 and 111010100000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4367508 + ... + 15527244.

Almost surely, 2111010100000112 is an apocalyptic number.

111010100000112 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 111010100000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159620812701688).

111010100000112 is an abundant number, since it is smaller than the sum of its proper divisors (208231525403264).

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

111010100000112 is a wasteful number, since it uses less digits than its factorization.

111010100000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11161655 (or 11161646 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111010100000112 its reverse (211000001010111), we get a palindrome (322010101010223).

The spelling of 111010100000112 in words is "one hundred eleven trillion, ten billion, one hundred million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 1867 2664 3734 5328 5601 7468 11202 14936 16803 22404 29872 33606 44808 67212 69079 89616 134424 138158 207237 268848 276316 414474 552632 621711 828948 1105264 1243422 1657896 2486844 3315792 4973688 9947376 11159737 22319474 33479211 44638948 66958422 89277896 100437633 133916844 178555792 200875266 267833688 401750532 412910269 535667376 803501064 825820538 1238730807 1607002128 1651641076 2477461614 3303282152 3716192421 4954923228 6606564304 7432384842 9909846456 14864769684 19819692912 20835228979 29729539368 41670457958 59459078736 62505686937 83340915916 125011373874 166681831832 187517060811 250022747748 333363663664 375034121622 500045495496 750068243244 770903472223 1000090990992 1500136486488 1541806944446 2312710416669 3000272972976 3083613888892 4625420833338 6167227777784 6938131250007 9250841666676 12334455555568 13876262500014 18501683333352 27752525000028 37003366666704 55505050000056 111010100000112