Search a number
-
+
111121101012112 = 24311013476392401
BaseRepresentation
bin11001010001000001100101…
…110000001011110010010000
3112120110001222120220000202221
4121101001211300023302100
5104031102003324341422
61032200155025150424
732256143321061052
oct3121014560136220
9476401876800687
10111121101012112
1132452215666974
121056801ba8b414
134a008a089a8c9
141d6240ba138d2
15cca7ac9153c7
hex651065c0bc90

111121101012112 has 80 divisors (see below), whose sum is σ = 225089463780864. Its totient is φ = 53082489600000.

The previous prime is 111121101012109. The next prime is 111121101012161. The reversal of 111121101012112 is 211210101121111.

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 15 ways as a sum of consecutive naturals, for example, 14187112 + ... + 20579512.

Almost surely, 2111121101012112 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 111121101012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112544731890432).

111121101012112 is an abundant number, since it is smaller than the sum of its proper divisors (113968362768752).

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

111121101012112 is a wasteful number, since it uses less digits than its factorization.

111121101012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392888 (or 6392882 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 111121101012112 its reverse (211210101121111), we get a palindrome (322331202133223).

The spelling of 111121101012112 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred one million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 62 101 124 202 248 347 404 496 694 808 1388 1616 2776 3131 5552 6262 10757 12524 21514 25048 35047 43028 50096 70094 86056 140188 172112 280376 560752 1086457 2172914 4345828 6392401 8691656 12784802 17383312 25569604 51139208 102278416 198164431 396328862 645632501 792657724 1291265002 1585315448 2218163147 2582530004 3170630896 4436326294 5165060008 8872652588 10330120016 17745305176 20014607531 35490610352 40029215062 68763057557 80058430124 137526115114 160116860248 224034477847 275052230228 320233720496 448068955694 550104460456 896137911388 1100208920912 1792275822776 3584551645552 6945068813257 13890137626514 27780275253028 55560550506056 111121101012112