Search a number
-
+
10023132112110 = 2325138566779583
BaseRepresentation
bin1001000111011011000100…
…1110101010010011101110
31022111012110022101022011100
42101312301032222103232
52303204333310041420
633152321402303530
72053101362142345
oct221666116522356
938435408338140
1010023132112110
113214871858247
12115a6727b7ba6
1357923c6c2620
1426919d3aab5c
15125ad0b4c190
hex91db13aa4ee

10023132112110 has 48 divisors (see below), whose sum is σ = 28064769917184. Its totient is φ = 2467232519616.

The previous prime is 10023132112043. The next prime is 10023132112117. The reversal of 10023132112110 is 1121123132001.

10023132112110 is a `hidden beast` number, since 1 + 0 + 0 + 231 + 321 + 1 + 2 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023132112117) 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 23 ways as a sum of consecutive naturals, for example, 4283388622 + ... + 4283390961.

It is an arithmetic number, because the mean of its divisors is an integer number (584682706608).

Almost surely, 210023132112110 is an apocalyptic number.

10023132112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10023132112110 is an abundant number, since it is smaller than the sum of its proper divisors (18041637805074).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10023132112110 is a wasteful number, since it uses less digits than its factorization.

10023132112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8566779609 (or 8566779606 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10023132112110 its reverse (1121123132001), we get a palindrome (11144255244111).

The spelling of 10023132112110 in words is "ten trillion, twenty-three billion, one hundred thirty-two million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 8566779583 17133559166 25700338749 42833897915 51400677498 77101016247 85667795830 111368134579 128501693745 154202032494 222736269158 257003387490 334104403737 385505081235 556840672895 668208807474 771010162470 1002313211211 1113681345790 1670522018685 2004626422422 3341044037370 5011566056055 10023132112110