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2131551312 = 2431123175523
BaseRepresentation
bin111111100001100…
…1110010001010000
312111112220000200220
41333003032101100
513331134120222
6551302313040
7103551613212
oct17703162120
95445800626
102131551312
119a4229060
124b5a28780
1327c7b6c87
141631405b2
15c71eab5c
hex7f0ce450

2131551312 has 80 divisors (see below), whose sum is σ = 6268313088. Its totient is φ = 617837440.

The previous prime is 2131551311. The next prime is 2131551349.

2131551312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131551311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75618 + ... + 99905.

Almost surely, 22131551312 is an apocalyptic number.

2131551312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2131551312 is an abundant number, since it is smaller than the sum of its proper divisors (4136761776).

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

2131551312 is a wasteful number, since it uses less digits than its factorization.

2131551312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175568 (or 175562 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 2131551312 is about 46168.7265581367. The cubic root of 2131551312 is about 1286.9606373978.

It can be divided in two parts, 21315 and 51312, that added together give a palindrome (72627).

The spelling of 2131551312 in words is "two billion, one hundred thirty-one million, five hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 175523 351046 526569 702092 1053138 1404184 1930753 2106276 2808368 3861506 4037029 4212552 5792259 7723012 8074058 8425104 11584518 12111087 15446024 16148116 23169036 24222174 30892048 32296232 44407319 46338072 48444348 64592464 88814638 92676144 96888696 133221957 177629276 193777392 266443914 355258552 532887828 710517104 1065775656 2131551312