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1032140031 = 313891032887
BaseRepresentation
bin111101100001010…
…011010011111111
32122221011010221120
4331201103103333
54103211440111
6250230202023
734402021416
oct7541232377
92587133846
101032140031
1148a68609a
122497b3313
13135ab1260
149b11647d
156092e406
hex3d8534ff

1032140031 has 32 divisors (see below), whose sum is σ = 1513774080. Its totient is φ = 621713664.

The previous prime is 1032140029. The next prime is 1032140063. The reversal of 1032140031 is 1300412301.

It is not a de Polignac number, because 1032140031 - 21 = 1032140029 is a prime.

It is a super-2 number, since 2×10321400312 = 2130626087185361922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032140231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 356070 + ... + 358956.

It is an arithmetic number, because the mean of its divisors is an integer number (47305440).

Almost surely, 21032140031 is an apocalyptic number.

1032140031 is a deficient number, since it is larger than the sum of its proper divisors (481634049).

1032140031 is a wasteful number, since it uses less digits than its factorization.

1032140031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1032140031 is about 32126.9362218061. The cubic root of 1032140031 is about 1010.6005744188.

Adding to 1032140031 its reverse (1300412301), we get a palindrome (2332552332).

The spelling of 1032140031 in words is "one billion, thirty-two million, one hundred forty thousand, thirty-one".

Divisors: 1 3 13 39 89 103 267 309 1157 1339 2887 3471 4017 8661 9167 27501 37531 112593 119171 256943 297361 357513 770829 892083 3340259 3865693 10020777 11597079 26465129 79395387 344046677 1032140031