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111020220211104 = 25323710418564209
BaseRepresentation
bin11001001111100011101000…
…110010011101111110100000
3112120002102121000212100200200
4121033203220302131332200
5104022423402333223404
61032041552435345200
732245642360315431
oct3117435062357640
9476072530770620
10111020220211104
1132413458021a56
1210550567152200
1349c4214757449
141d5b59b9d3488
15cc7d561e2839
hex64f8e8c9dfa0

111020220211104 has 72 divisors (see below), whose sum is σ = 324246555343620. Its totient is φ = 36006557902848.

The previous prime is 111020220211039. The next prime is 111020220211129. The reversal of 111020220211104 is 401112022020111.

111020220211104 is a `hidden beast` number, since 1 + 110 + 20 + 220 + 211 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108769464147600 + 2250756063504 = 10429260^2 + 1500252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5209271449 + ... + 5209292760.

Almost surely, 2111020220211104 is an apocalyptic number.

It is an amenable number.

111020220211104 is an abundant number, since it is smaller than the sum of its proper divisors (213226335132516).

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

111020220211104 is a wasteful number, since it uses less digits than its factorization.

111020220211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10418564262 (or 10418564251 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111020220211104 its reverse (401112022020111), we get a palindrome (512132242231215).

The spelling of 111020220211104 in words is "one hundred eleven trillion, twenty billion, two hundred twenty million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 10418564209 20837128418 31255692627 41674256836 62511385254 83348513672 93767077881 125022770508 166697027344 187534155762 250045541016 333394054688 375068311524 385486875733 500091082032 750136623048 770973751466 1000182164064 1156460627199 1500273246096 1541947502932 2312921254398 3000546492192 3083895005864 3469381881597 4625842508796 6167790011728 6938763763194 9251685017592 12335580023456 13877527526388 18503370035184 27755055052776 37006740070368 55510110105552 111020220211104