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2111122404 = 2232612413989
BaseRepresentation
bin111110111010101…
…0010101111100100
312110010110010111200
41331311102233210
513310421404104
6545252402500
7103213146546
oct17565225744
95403403450
102111122404
11993745566
124ab016430
132784b3571
14160543696
15c5512b39
hex7dd52be4

2111122404 has 72 divisors (see below), whose sum is σ = 5447802360. Its totient is φ = 689126400.

The previous prime is 2111122381. The next prime is 2111122411. The reversal of 2111122404 is 4042211112.

It can be written as a sum of positive squares in 4 ways, for example, as 90440100 + 2020682304 = 9510^2 + 44952^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 527242 + ... + 531230.

Almost surely, 22111122404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111122404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723901180).

2111122404 is an abundant number, since it is smaller than the sum of its proper divisors (3336679956).

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

2111122404 is a wasteful number, since it uses less digits than its factorization.

2111122404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2111122404 is about 45946.9520643100. The cubic root of 2111122404 is about 1282.8359978266.

Adding to 2111122404 its reverse (4042211112), we get a palindrome (6153333516).

The spelling of 2111122404 in words is "two billion, one hundred eleven million, one hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 241 244 366 482 549 723 732 964 1098 1446 2169 2196 2892 3989 4338 7978 8676 11967 14701 15956 23934 29402 35901 44103 47868 58804 71802 88206 132309 143604 176412 243329 264618 486658 529236 729987 961349 973316 1459974 1922698 2189961 2884047 2919948 3845396 4379922 5768094 8652141 8759844 11536188 17304282 34608564 58642289 117284578 175926867 234569156 351853734 527780601 703707468 1055561202 2111122404