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2111131404 = 2233531911931
BaseRepresentation
bin111110111010101…
…0100111100001100
312110010110120212000
41331311110330030
513310422201104
6545252512300
7103213215024
oct17565247414
95403416760
102111131404
119937512a8
124ab01b690
132784b76a5
14160546a84
15c5515639
hex7dd54f0c

2111131404 has 96 divisors (see below), whose sum is σ = 5608673280. Its totient is φ = 686462400.

The previous prime is 2111131361. The next prime is 2111131409. The reversal of 2111131404 is 4041311112.

It is a super-2 number, since 2×21111314042 = 8913751609910022432, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2111131409) 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, 1092319 + ... + 1094249.

It is an arithmetic number, because the mean of its divisors is an integer number (58423680).

Almost surely, 22111131404 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 2111131404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804336640).

2111131404 is an abundant number, since it is smaller than the sum of its proper divisors (3497541876).

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

2111131404 is a wasteful number, since it uses less digits than its factorization.

2111131404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2111131404 is about 45947.0500032374. The cubic root of 2111131404 is about 1282.8378207917.

Adding to 2111131404 its reverse (4041311112), we get a palindrome (6152442516).

The spelling of 2111131404 in words is "two billion, one hundred eleven million, one hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 191 212 318 382 477 573 636 764 954 1146 1431 1719 1908 1931 2292 2862 3438 3862 5157 5724 5793 6876 7724 10123 10314 11586 17379 20246 20628 23172 30369 34758 40492 52137 60738 69516 91107 102343 104274 121476 182214 204686 208548 273321 307029 364428 368821 409372 546642 614058 737642 921087 1093284 1106463 1228116 1475284 1842174 2212926 2763261 3319389 3684348 4425852 5526522 6638778 9958167 11053044 13277556 19547513 19916334 39095026 39832668 58642539 78190052 117285078 175927617 234570156 351855234 527782851 703710468 1055565702 2111131404