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10141142031 = 331514016203
BaseRepresentation
bin10010111000111010…
…11000110000001111
3222011202100101121000
421130131120300033
5131232113021111
64354143511343
7506210166516
oct113435306017
928152311530
1010141142031
114334457119
121b702b8553
13c58007577
146c2bc367d
153e548cc56
hex25c758c0f

10141142031 has 32 divisors (see below), whose sum is σ = 15163568640. Its totient is φ = 6698160000.

The previous prime is 10141141993. The next prime is 10141142041. The reversal of 10141142031 is 13024114101.

10141142031 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 10141142031 - 29 = 10141141519 is a prime.

It is a super-2 number, since 2×101411420312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10141141995 and 10141142013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141142041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631776 + ... + 1637978.

It is an arithmetic number, because the mean of its divisors is an integer number (473861520).

Almost surely, 210141142031 is an apocalyptic number.

10141142031 is a deficient number, since it is larger than the sum of its proper divisors (5022426609).

10141142031 is a wasteful number, since it uses less digits than its factorization.

10141142031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10141142031 its reverse (13024114101), we get a palindrome (23165256132).

The spelling of 10141142031 in words is "ten billion, one hundred forty-one million, one hundred forty-two thousand, thirty-one".

Divisors: 1 3 9 27 151 401 453 1203 1359 3609 4077 6203 10827 18609 55827 60551 167481 181653 544959 936653 1634877 2487403 2809959 7462209 8429877 22386627 25289631 67159881 375597853 1126793559 3380380677 10141142031