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2150131140 = 22325116310271
BaseRepresentation
bin1000000000101000…
…0110010111000100
312112211211222102200
42000022012113010
513400413144030
6553204434500
7104165545623
oct20012062704
95484758380
102150131140
11a03769393
125000a8a30
132835c0b61
141657b96ba
15c8b6ad60
hex802865c4

2150131140 has 72 divisors (see below), whose sum is σ = 6528307968. Its totient is φ = 572819520.

The previous prime is 2150131063. The next prime is 2150131147. The reversal of 2150131140 is 411310512.

2150131140 is a `hidden beast` number, since 21 + 501 + 3 + 1 + 140 = 666.

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 (2150131147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204205 + ... + 214475.

It is an arithmetic number, because the mean of its divisors is an integer number (90670944).

Almost surely, 22150131140 is an apocalyptic number.

2150131140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2150131140 is an abundant number, since it is smaller than the sum of its proper divisors (4378176828).

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

2150131140 is a wasteful number, since it uses less digits than its factorization.

2150131140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11449 (or 11444 counting only the distinct ones).

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

The square root of 2150131140 is about 46369.5065749033. The cubic root of 2150131140 is about 1290.6891216181.

Adding to 2150131140 its reverse (411310512), we get a palindrome (2561441652).

It can be divided in two parts, 215013 and 1140, that added together give a triangular number (216153 = T657).

The spelling of 2150131140 in words is "two billion, one hundred fifty million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1163 2326 3489 4652 5815 6978 10271 10467 11630 13956 17445 20542 20934 23260 30813 34890 41084 41868 51355 52335 61626 69780 92439 102710 104670 123252 154065 184878 205420 209340 308130 369756 462195 616260 924390 1848780 11945173 23890346 35835519 47780692 59725865 71671038 107506557 119451730 143342076 179177595 215013114 238903460 358355190 430026228 537532785 716710380 1075065570 2150131140