Search a number
-
+
10023321100131 = 322813963353539
BaseRepresentation
bin1001000111011011110001…
…1111100101111101100011
31022111012221110222212222200
42101312330133211331203
52303210230200201011
633152352233104243
72053106145414003
oct221667437457543
938435843885880
1010023321100131
1132149594a9799
12115a705b58083
1357926c8c2561
142691ba524003
15125ae252d856
hex91dbc7e5f63

10023321100131 has 12 divisors (see below), whose sum is σ = 14529654077640. Its totient is φ = 6658433943840.

The previous prime is 10023321100127. The next prime is 10023321100139. The reversal of 10023321100131 is 13100112332001.

10023321100131 is a `hidden beast` number, since 100 + 2 + 332 + 1 + 100 + 131 = 666.

It is not a de Polignac number, because 10023321100131 - 22 = 10023321100127 is a prime.

It is a super-4 number, since 4×100233211001314 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10023321100139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1981674241 + ... + 1981679298.

It is an arithmetic number, because the mean of its divisors is an integer number (1210804506470).

Almost surely, 210023321100131 is an apocalyptic number.

10023321100131 is a deficient number, since it is larger than the sum of its proper divisors (4506332977509).

10023321100131 is a wasteful number, since it uses less digits than its factorization.

10023321100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963353826 (or 3963353823 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10023321100131 its reverse (13100112332001), we get a palindrome (23123433432132).

The spelling of 10023321100131 in words is "ten trillion, twenty-three billion, three hundred twenty-one million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 281 843 2529 3963353539 11890060617 35670181851 1113702344459 3341107033377 10023321100131