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2130013332 = 223265539029
BaseRepresentation
bin111111011110101…
…0110110010010100
312111102222212222200
41332331112302110
513330240411312
6551205324500
7103532546256
oct17675266224
95442885880
102130013332
119a33785a7
124b5406730
1327c398c25
14162c5dcd6
15c6ee50dc
hex7ef56c94

2130013332 has 36 divisors (see below), whose sum is σ = 5385618420. Its totient is φ = 709817472.

The previous prime is 2130013289. The next prime is 2130013423. The reversal of 2130013332 is 2333100312.

2130013332 is a `hidden beast` number, since 21 + 300 + 13 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1648035216 + 481978116 = 40596^2 + 21954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231394 + ... + 240422.

Almost surely, 22130013332 is an apocalyptic number.

It is an amenable number.

2130013332 is an abundant number, since it is smaller than the sum of its proper divisors (3255605088).

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

2130013332 is a wasteful number, since it uses less digits than its factorization.

2130013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15592 (or 15587 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2130013332 is about 46152.0674726496. The cubic root of 2130013332 is about 1286.6510356619.

Adding to 2130013332 its reverse (2333100312), we get a palindrome (4463113644).

The spelling of 2130013332 in words is "two billion, one hundred thirty million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6553 9029 13106 18058 19659 26212 27087 36116 39318 54174 58977 78636 81261 108348 117954 162522 235908 325044 59167037 118334074 177501111 236668148 355002222 532503333 710004444 1065006666 2130013332