Search a number
-
+
10023524334031 = 1329148117952463
BaseRepresentation
bin1001000111011100100010…
…0110110111100111001111
31022111020110122102020111011
42101313020212313213033
52303211134212142111
633152424333110051
72053114164030445
oct221671046674717
938436418366434
1010023524334031
113214a531a039a
12115a762028327
135792a2a3c7c0
142691d9508b95
15125b052c6021
hex91dc89b79cf

10023524334031 has 16 divisors (see below), whose sum is σ = 11174331692160. Its totient is φ = 8927400303360.

The previous prime is 10023524334017. The next prime is 10023524334037. The reversal of 10023524334031 is 13043342532001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10023524334031 - 217 = 10023524202959 is a prime.

It is a super-2 number, since 2×100235243340312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023524333984 and 10023524334002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023524334037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8417895 + ... + 9534568.

It is an arithmetic number, because the mean of its divisors is an integer number (698395730760).

Almost surely, 210023524334031 is an apocalyptic number.

10023524334031 is a deficient number, since it is larger than the sum of its proper divisors (1150807358129).

10023524334031 is a wasteful number, since it uses less digits than its factorization.

10023524334031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17953986.

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 10023524334031 its reverse (13043342532001), we get a palindrome (23066866866032).

The spelling of 10023524334031 in words is "ten trillion, twenty-three billion, five hundred twenty-four million, three hundred thirty-four thousand, thirty-one".

Divisors: 1 13 29 377 1481 19253 42949 558337 17952463 233382019 520621427 6768078551 26587597703 345638770139 771040333387 10023524334031