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1013332131 = 32779972099
BaseRepresentation
bin111100011001100…
…011100010100011
32121121202121100200
4330121203202203
54033403112011
6244315120243
734053116040
oct7431434243
92547677320
101013332131
1147aaaa479
12243443083
13131c27616
149881c1c7
155de66856
hex3c6638a3

1013332131 has 48 divisors (see below), whose sum is σ = 1712256000. Its totient is φ = 565553664.

The previous prime is 1013332129. The next prime is 1013332153. The reversal of 1013332131 is 1312333101.

It is a happy number.

1013332131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1013332131 - 21 = 1013332129 is a prime.

It is a super-2 number, since 2×10133321312 = 2053684015434002322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013332121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481720 + ... + 483818.

It is an arithmetic number, because the mean of its divisors is an integer number (35672000).

Almost surely, 21013332131 is an apocalyptic number.

1013332131 is a deficient number, since it is larger than the sum of its proper divisors (698923869).

1013332131 is a wasteful number, since it uses less digits than its factorization.

1013332131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2285 counting only the distinct ones).

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

The square root of 1013332131 is about 31832.8781450877. The cubic root of 1013332131 is about 1004.4244391346.

Adding to 1013332131 its reverse (1312333101), we get a palindrome (2325665232).

The spelling of 1013332131 in words is "one billion, thirteen million, three hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 79 97 237 291 553 679 711 873 1659 2037 2099 4977 6111 6297 7663 14693 18891 22989 44079 53641 68967 132237 160923 165821 203603 482769 497463 610809 1160747 1425221 1492389 1832427 3482241 4275663 10446723 12826989 16084637 48253911 112592459 144761733 337777377 1013332131