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112122211019 = 7131987773943
BaseRepresentation
bin110100001101100000…
…0010010101011001011
3101201101222201110121012
41220123000102223023
53314111241223034
6123301440034135
711046331032410
oct1503300225313
9351358643535
10112122211019
1143607079715
121989160294b
13a75b093680
1455d8db2107
152db359acce
hex1a1b012acb

112122211019 has 32 divisors (see below), whose sum is σ = 145427143680. Its totient is φ = 83946056832.

The previous prime is 112122211007. The next prime is 112122211021. The reversal of 112122211019 is 910112221211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112122211019 - 216 = 112122145483 is a prime.

It is a super-2 number, since 2×1121222110192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112122210985 and 112122211003.

It is not an unprimeable number, because it can be changed into a prime (112122211039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479362 + ... + 1553304.

It is an arithmetic number, because the mean of its divisors is an integer number (4544598240).

Almost surely, 2112122211019 is an apocalyptic number.

112122211019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

112122211019 is a deficient number, since it is larger than the sum of its proper divisors (33304932661).

112122211019 is a wasteful number, since it uses less digits than its factorization.

112122211019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74859.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 112122211019 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand, nineteen".

Divisors: 1 7 13 19 91 133 247 877 1729 6139 11401 16663 73943 79807 116641 216619 517601 961259 1404917 1516333 6728813 9834419 18263921 64848011 127847447 453936077 843024143 1232112209 5901169001 8624785463 16017458717 112122211019