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1112110011220 = 2251341233447749
BaseRepresentation
bin10000001011101110111…
…011000001001101010100
310221022112212012002002211
4100023232323001031110
5121210100130324340
62210521333043204
7143230060060465
oct20135673011524
93838485162084
101112110011220
1139970912172a
1215b64b486504
1380b4397a2a0
143bb7d960d6c
151ddddc025ea
hex102eeec1354

1112110011220 has 96 divisors (see below), whose sum is σ = 2587486356000. Its totient is φ = 398889738240.

The previous prime is 1112110011197. The next prime is 1112110011223. The reversal of 1112110011220 is 221100112111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 957681446544 + 154428564676 = 978612^2 + 392974^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1112110011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112110011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2259906 + ... + 2707654.

It is an arithmetic number, because the mean of its divisors is an integer number (26952982875).

Almost surely, 21112110011220 is an apocalyptic number.

1112110011220 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 1112110011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293743178000).

1112110011220 is an abundant number, since it is smaller than the sum of its proper divisors (1475376344780).

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

1112110011220 is a wasteful number, since it uses less digits than its factorization.

1112110011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448045 (or 448043 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1112110011220 its reverse (221100112111), we get a palindrome (1333210123331).

The spelling of 1112110011220 in words is "one trillion, one hundred twelve billion, one hundred ten million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 233 260 410 466 533 820 932 1066 1165 2132 2330 2665 3029 4660 5330 6058 9553 10660 12116 15145 19106 30290 38212 47765 60580 95530 124189 191060 248378 447749 496756 620945 895498 1241890 1790996 2238745 2483780 4477490 5820737 8954980 11641474 18357709 23282948 29103685 36715418 58207370 73430836 91788545 104325517 116414740 183577090 208651034 238650217 367154180 417302068 477300434 521627585 954600868 1043255170 1193251085 1356231721 2086510340 2386502170 2712463442 4277346197 4773004340 5424926884 6781158605 8554692394 13562317210 17109384788 21386730985 27124634420 42773461970 55605500561 85546923940 111211001122 222422002244 278027502805 556055005610 1112110011220