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2153120112 = 24321113104561
BaseRepresentation
bin1000000001010110…
…0000000101110000
312120001110211112100
42000111200011300
513402144320422
6553352500400
7104233135053
oct20025400560
95501424470
102153120112
11a05420010
125010aa700
132840c9490
14165d56a9a
15c905b7ac
hex80560170

2153120112 has 120 divisors (see below), whose sum is σ = 7079265648. Its totient is φ = 602265600.

The previous prime is 2153120089. The next prime is 2153120131. The reversal of 2153120112 is 2110213512.

2153120112 is a `hidden beast` number, since 2 + 1 + 531 + 20 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31689 + ... + 72872.

Almost surely, 22153120112 is an apocalyptic number.

2153120112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2153120112 is an abundant number, since it is smaller than the sum of its proper divisors (4926145536).

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

2153120112 is a wasteful number, since it uses less digits than its factorization.

2153120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104599 (or 104590 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2153120112 is about 46401.7253127510. The cubic root of 2153120112 is about 1291.2869219594.

Adding to 2153120112 its reverse (2110213512), we get a palindrome (4263333624).

It can be divided in two parts, 2153 and 120112, that added together give a triangular number (122265 = T494).

The spelling of 2153120112 in words is "two billion, one hundred fifty-three million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 104561 209122 313683 418244 627366 836488 941049 1150171 1254732 1359293 1672976 1882098 2300342 2509464 2718586 3450513 3764196 4077879 4600684 5018928 5437172 6901026 7528392 8155758 9201368 10351539 10874344 12233637 13802052 14952223 15056784 16311516 18402736 20703078 21748688 24467274 27604104 29904446 32623032 41406156 44856669 48934548 55208208 59808892 65246064 82812312 89713338 97869096 119617784 134570007 165624624 179426676 195738192 239235568 269140014 358853352 538280028 717706704 1076560056 2153120112