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112111111000 = 23537101158573
BaseRepresentation
bin110100001101001010…
…1111100101101011000
3101201101012211112020101
41220122111330231120
53314100421023000
6123300402105144
711046134502010
oct1503225745530
9351335745211
10112111111000
1143600888049
121988994b1b4
13a7589a8205
1455d7722c40
152db2606e6a
hex1a1a57cb58

112111111000 has 128 divisors (see below), whose sum is σ = 302787538560. Its totient is φ = 38057280000.

The previous prime is 112111110971. The next prime is 112111111003. The reversal of 112111111000 is 111111211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111111003) 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, 627714 + ... + 786286.

It is an arithmetic number, because the mean of its divisors is an integer number (2365527645).

Almost surely, 2112111111000 is an apocalyptic number.

112111111000 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 112111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151393769280).

112111111000 is an abundant number, since it is smaller than the sum of its proper divisors (190676427560).

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

112111111000 is a wasteful number, since it uses less digits than its factorization.

112111111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158702 (or 158688 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 112111111000 its reverse (111111211), we get a palindrome (112222222211).

It can be divided in two parts, 11211 and 1111000, that added together give a palindrome (1122211).

The spelling of 112111111000 in words is "one hundred twelve billion, one hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 125 140 175 200 202 250 280 350 404 500 505 700 707 808 875 1000 1010 1400 1414 1750 2020 2525 2828 3500 3535 4040 5050 5656 7000 7070 10100 12625 14140 17675 20200 25250 28280 35350 50500 70700 88375 101000 141400 158573 176750 317146 353500 634292 707000 792865 1110011 1268584 1585730 2220022 3171460 3964325 4440044 5550055 6342920 7928650 8880088 11100110 15857300 16015873 19821625 22200220 27750275 31714600 32031746 39643250 44400440 55500550 64063492 79286500 80079365 111001100 112111111 128126984 138751375 158573000 160158730 222002200 224222222 277502750 320317460 400396825 448444444 555005500 560555555 640634920 800793650 896888888 1110011000 1121111110 1601587300 2001984125 2242222220 2802777775 3203174600 4003968250 4484444440 5605555550 8007936500 11211111100 14013888875 16015873000 22422222200 28027777750 56055555500 112111111000