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10031211333031 = 711293394137397
BaseRepresentation
bin1001000111111001001011…
…0010011100010110100111
31022111222022100212020201211
42101332102302130112213
52303322410100124111
633200135212132251
72053505524322320
oct221762262342647
938458270766654
1010031211333031
113218238314529
121160148467087
13579c29482315
142697283b7447
15125e05095521
hex91f92c9c5a7

10031211333031 has 16 divisors (see below), whose sum is σ = 11475040760640. Its totient is φ = 8590082584320.

The previous prime is 10031211332999. The next prime is 10031211333041. The reversal of 10031211333031 is 13033311213001.

It is a cyclic number.

It is not a de Polignac number, because 10031211333031 - 25 = 10031211332999 is a prime.

It is a super-2 number, since 2×100312113330312 (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 = 10031211332993 and 10031211333011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031211333041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268217025 + ... + 268254421.

It is an arithmetic number, because the mean of its divisors is an integer number (717190047540).

Almost surely, 210031211333031 is an apocalyptic number.

10031211333031 is a deficient number, since it is larger than the sum of its proper divisors (1443829427609).

10031211333031 is a wasteful number, since it uses less digits than its factorization.

10031211333031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72474.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10031211333031 its reverse (13033311213001), we get a palindrome (23064522546032).

The spelling of 10031211333031 in words is "ten trillion, thirty-one billion, two hundred eleven million, three hundred thirty-three thousand, thirty-one".

Divisors: 1 7 1129 7903 33941 37397 237587 261779 38319389 42221213 268235723 295548491 1269291577 8885041039 1433030190433 10031211333031