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2131113330 = 2325113209549
BaseRepresentation
bin111111100000110…
…0011010101110010
312111112001202220100
41333001203111302
513331031111310
6551245053230
7103545110253
oct17701432562
95445052810
102131113330
119a3a59a95
124b5857216
1327c692808
14163068b2a
15c7160ec0
hex7f063572

2131113330 has 48 divisors (see below), whose sum is σ = 5589955800. Its totient is φ = 563265024.

The previous prime is 2131113317. The next prime is 2131113331. The reversal of 2131113330 is 333111312.

It is a happy number.

2131113330 is a `hidden beast` number, since 21 + 311 + 1 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1146973689 + 984139641 = 33867^2 + 31371^2 .

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 (2131113331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94605 + ... + 114944.

Almost surely, 22131113330 is an apocalyptic number.

2131113330 is an abundant number, since it is smaller than the sum of its proper divisors (3458842470).

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

2131113330 is a wasteful number, since it uses less digits than its factorization.

2131113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209675 (or 209672 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2131113330 is about 46163.9830387284. The cubic root of 2131113330 is about 1286.8724849801.

Adding to 2131113330 its reverse (333111312), we get a palindrome (2464224642).

The spelling of 2131113330 in words is "two billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 209549 419098 628647 1047745 1257294 1885941 2095490 3143235 3771882 6286470 9429705 18859410 23679037 47358074 71037111 118395185 142074222 213111333 236790370 355185555 426222666 710371110 1065556665 2131113330