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2114220224112 = 243172590956157
BaseRepresentation
bin11110110001000001010…
…110000110111001110000
321111010011122100102110220
4132301001112012321300
5234114410334132422
64255132004453040
7305514230250633
oct36610126067160
97433148312426
102114220224112
117456aa220817
122a19000aa180
131244a719b3b9
1474486351c1a
1539ee084be5c
hex1ec41586e70

2114220224112 has 40 divisors (see below), whose sum is σ = 5783014144656. Its totient is φ = 663284775936.

The previous prime is 2114220224107. The next prime is 2114220224117.

2114220224112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2114220224107) and next prime (2114220224117).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114220224117) 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 7 ways as a sum of consecutive naturals, for example, 1295477263 + ... + 1295478894.

Almost surely, 22114220224112 is an apocalyptic number.

It is an amenable number.

2114220224112 is an abundant number, since it is smaller than the sum of its proper divisors (3668793920544).

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

2114220224112 is a wasteful number, since it uses less digits than its factorization.

2114220224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590956185 (or 2590956179 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2114220 and 224112, that added together give a palindrome (2338332).

The spelling of 2114220224112 in words is "two trillion, one hundred fourteen billion, two hundred twenty million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 2590956157 5181912314 7772868471 10363824628 15545736942 20727649256 31091473884 41455298512 44046254669 62182947768 88092509338 124365895536 132138764007 176185018676 264277528014 352370037352 528555056028 704740074704 1057110112056 2114220224112