Search a number
-
+
112410022113024 = 2834321131610927
BaseRepresentation
bin11001100011110001111111…
…011011111110111100000000
3112202000021220201100002120020
4121203301333123332330000
5104213211211130104044
61035024241245413440
732451233065500216
oct3143617733767400
9482007821302506
10112410022113024
11328a9905a61209
1210735994b6a280
134a952b160444c
141da8961a30cb6
15cee098db3a19
hex663c7f6fef00

112410022113024 has 144 divisors (see below), whose sum is σ = 306277209165312. Its totient is φ = 36581268455424.

The previous prime is 112410022113013. The next prime is 112410022113029. The reversal of 112410022113024 is 420311220014211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112410022112985 and 112410022113003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112410022113029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68974249 + ... + 70585175.

It is an arithmetic number, because the mean of its divisors is an integer number (2126925063648).

Almost surely, 2112410022113024 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 112410022113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153138604582656).

112410022113024 is an abundant number, since it is smaller than the sum of its proper divisors (193867187052288).

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

112410022113024 is a wasteful number, since it uses less digits than its factorization.

112410022113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613102 (or 1613088 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 112410022113024 its reverse (420311220014211), we get a palindrome (532721242127235).

The spelling of 112410022113024 in words is "one hundred twelve trillion, four hundred ten billion, twenty-two million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2113 2752 4128 4226 5504 6339 8256 8452 11008 12678 16512 16904 25356 33024 33808 50712 67616 90859 101424 135232 181718 202848 270464 272577 363436 405696 540928 545154 726872 811392 1090308 1453744 1610927 1622784 2180616 2907488 3221854 4361232 4832781 5814976 6443708 8722464 9665562 11629952 12887416 17444928 19331124 23259904 25774832 34889856 38662248 51549664 69269861 69779712 77324496 103099328 138539722 154648992 206198656 207809583 277079444 309297984 412397312 415619166 554158888 618595968 831238332 1108317776 1237191936 1662476664 2216635552 3324953328 3403888751 4433271104 6649906656 6807777502 8866542208 10211666253 13299813312 13615555004 17733084416 20423332506 26599626624 27231110008 40846665012 53199253248 54462220016 81693330024 108924440032 146367216293 163386660048 217848880064 292734432586 326773320096 435697760128 439101648879 585468865172 653546640192 871395520256 878203297758 1170937730344 1307093280384 1756406595516 2341875460688 2614186560768 3512813191032 4683750921376 7025626382064 9367501842752 14051252764128 18735003685504 28102505528256 37470007371008 56205011056512 112410022113024