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10031132043331 = 723531225195957
BaseRepresentation
bin1001000111111000111000…
…0011111110100001000011
31022111222002211122220201021
42101332032003332201003
52303322224300341311
633200123300450311
72053503542345110
oct221761603764103
938458084586637
1010031132043331
1132181a7588a53
1211601259a9997
13579c15c10339
1426971ba57907
15125ded132171
hex91f8e0fe843

10031132043331 has 32 divisors (see below), whose sum is σ = 12189423449088. Its totient is φ = 8068364304000.

The previous prime is 10031132043301. The next prime is 10031132043353. The reversal of 10031132043331 is 13334023113001.

10031132043331 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 10031132043331 - 213 = 10031132035139 is a prime.

It is a super-2 number, since 2×100311320433312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10031132043296 and 10031132043305.

It is not an unprimeable number, because it can be changed into a prime (10031132043301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104489805 + ... + 104585761.

It is an arithmetic number, because the mean of its divisors is an integer number (380919482784).

Almost surely, 210031132043331 is an apocalyptic number.

10031132043331 is a deficient number, since it is larger than the sum of its proper divisors (2158291405757).

10031132043331 is a wasteful number, since it uses less digits than its factorization.

10031132043331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108291.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 10031132043331 its reverse (13334023113001), we get a palindrome (23365155156332).

The spelling of 10031132043331 in words is "ten trillion, thirty-one billion, one hundred thirty-two million, forty-three thousand, three hundred thirty-one".

Divisors: 1 7 23 53 161 371 1219 8533 12251 85757 95957 281773 649303 671699 1972411 2207011 4545121 5085721 14933969 15449077 35600047 104537783 116971583 818801081 1175569207 8228984449 27038091761 62305167971 189266642327 436136175797 1433018863333 10031132043331