Search a number
-
+
1331114001112 = 237103739312281
BaseRepresentation
bin10011010111101100100…
…100111100001011011000
311201020211121211110211201
4103113230210330023120
5133302110141013422
62455301052403544
7165112150216030
oct23275444741330
94636747743751
101331114001112
114735821737a5
12195b8b4765b4
13986a6202c9c
14485d79388c0
152495a74d727
hex135ec93c2d8

1331114001112 has 64 divisors (see below), whose sum is σ = 2883986726400. Its totient is φ = 564172542720.

The previous prime is 1331114001097. The next prime is 1331114001121. The reversal of 1331114001112 is 2111004111331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331114001112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4106412 + ... + 4418692.

It is an arithmetic number, because the mean of its divisors is an integer number (45062292600).

Almost surely, 21331114001112 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 1331114001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441993363200).

1331114001112 is an abundant number, since it is smaller than the sum of its proper divisors (1552872725288).

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

1331114001112 is a wasteful number, since it uses less digits than its factorization.

1331114001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313136 (or 313132 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1331114001112 its reverse (2111004111331), we get a palindrome (3442118112443).

The spelling of 1331114001112 in words is "one trillion, three hundred thirty-one billion, one hundred fourteen million, one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 739 824 1442 1478 2884 2956 5173 5768 5912 10346 20692 41384 76117 152234 304468 312281 532819 608936 624562 1065638 1249124 2131276 2185967 2498248 4262552 4371934 8743868 17487736 32164943 64329886 128659772 225154601 230775659 257319544 450309202 461551318 900618404 923102636 1615429613 1801236808 1846205272 3230859226 6461718452 12923436904 23769892877 47539785754 95079571508 166389250139 190159143016 332778500278 665557000556 1331114001112