Search a number
-
+
2155112120 = 235721099547
BaseRepresentation
bin1000000001110100…
…0110011010111000
312120012020001001102
42000131012122320
513403202041440
6553503310532
7104256102500
oct20035063270
95505201042
102155112120
11a065606a7
125018ab448
13284646095
14166314a00
15c9301b15
hex807466b8

2155112120 has 48 divisors (see below), whose sum is σ = 5640681240. Its totient is φ = 738894912.

The previous prime is 2155112111. The next prime is 2155112123. The reversal of 2155112120 is 212115512.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2155112092 and 2155112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155112123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547814 + ... + 551733.

Almost surely, 22155112120 is an apocalyptic number.

2155112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2155112120 is an abundant number, since it is smaller than the sum of its proper divisors (3485569120).

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

2155112120 is a wasteful number, since it uses less digits than its factorization.

2155112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099572 (or 1099561 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 2155112120 is about 46423.1851556956. The cubic root of 2155112120 is about 1291.6850203612.

Adding to 2155112120 its reverse (212115512), we get a palindrome (2367227632).

The spelling of 2155112120 in words is "two billion, one hundred fifty-five million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 1099547 2199094 4398188 5497735 7696829 8796376 10995470 15393658 21990940 30787316 38484145 43981880 53877803 61574632 76968290 107755606 153936580 215511212 269389015 307873160 431022424 538778030 1077556060 2155112120