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10026401031 = 324333737681
BaseRepresentation
bin10010101011001111…
…01011110100000111
3221212202102221112100
421111213223310013
5131013224313111
64334524323143
7503315000613
oct112547536407
927782387470
1010026401031
114285707549
121b399a34b3
13c3a30229a
146b1876343
153da375756
hex2559ebd07

10026401031 has 24 divisors (see below), whose sum is σ = 14825706896. Its totient is φ = 6526033920.

The previous prime is 10026401029. The next prime is 10026401053. The reversal of 10026401031 is 13010462001.

It is a happy number.

10026401031 is a `hidden beast` number, since 10 + 0 + 2 + 640 + 10 + 3 + 1 = 666.

It is not a de Polignac number, because 10026401031 - 21 = 10026401029 is a prime.

It is a super-2 number, since 2×100264010312 (a number of 21 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 = 10026400995 and 10026401013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10026401131) 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 23 ways as a sum of consecutive naturals, for example, 1301511 + ... + 1309191.

Almost surely, 210026401031 is an apocalyptic number.

10026401031 is a deficient number, since it is larger than the sum of its proper divisors (4799305865).

10026401031 is a wasteful number, since it uses less digits than its factorization.

10026401031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10026401031 its reverse (13010462001), we get a palindrome (23036863032).

The spelling of 10026401031 in words is "ten billion, twenty-six million, four hundred one thousand, thirty-one".

Divisors: 1 3 9 43 129 387 3373 7681 10119 23043 30357 69129 145039 330283 435117 990849 1305351 2972547 25908013 77724039 233172117 1114044559 3342133677 10026401031