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2111344404 = 22313313311319
BaseRepresentation
bin111110111011000…
…1000111100010100
312110010212102000220
41331312020330110
513311001010104
6545301234340
7103215063021
oct17566107424
95403772026
102111344404
11993887334
124ab1029b0
13278560620
141605a0548
15c55587d9
hex7dd88f14

2111344404 has 96 divisors (see below), whose sum is σ = 5497282560. Its totient is φ = 626313600.

The previous prime is 2111344397. The next prime is 2111344421. The reversal of 2111344404 is 4044431112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1600057 + ... + 1601375.

It is an arithmetic number, because the mean of its divisors is an integer number (57263360).

Almost surely, 22111344404 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 2111344404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748641280).

2111344404 is an abundant number, since it is smaller than the sum of its proper divisors (3385938156).

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

2111344404 is a wasteful number, since it uses less digits than its factorization.

2111344404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2111344404 is about 45949.3678302542. The cubic root of 2111344404 is about 1282.8809627875.

Adding to 2111344404 its reverse (4044431112), we get a palindrome (6155775516).

The spelling of 2111344404 in words is "two billion, one hundred eleven million, three hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 331 372 403 662 806 993 1209 1319 1324 1612 1986 2418 2638 3957 3972 4303 4836 5276 7914 8606 10261 12909 15828 17147 17212 20522 25818 30783 34294 40889 41044 51441 51636 61566 68588 81778 102882 122667 123132 133393 163556 205764 245334 266786 400179 436589 490668 531557 533572 800358 873178 1063114 1309767 1594671 1600716 1746356 2126228 2619534 3189342 5239068 5675657 6378684 11351314 13534259 17026971 22702628 27068518 34053942 40602777 54137036 68107884 81205554 162411108 175945367 351890734 527836101 703781468 1055672202 2111344404