Search a number
-
+
10023112000 = 265311113899
BaseRepresentation
bin10010101010110110…
…01000110101000000
3221212112020211211101
421111123020311000
5131011404041000
64334330024144
7503245021606
oct112533106500
927775224741
1010023112000
114283870440
121b38878054
13c39720205
146b125b876
153d9e25e6a
hex2556c8d40

10023112000 has 112 divisors (see below), whose sum is σ = 27079041600. Its totient is φ = 3644736000.

The previous prime is 10023111997. The next prime is 10023112019. The reversal of 10023112000 is 21132001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31051 + ... + 144949.

Almost surely, 210023112000 is an apocalyptic number.

10023112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539520800).

10023112000 is an abundant number, since it is smaller than the sum of its proper divisors (17055929600).

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

10023112000 is a wasteful number, since it uses less digits than its factorization.

10023112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113937 (or 113917 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10023112000 its reverse (21132001), we get a palindrome (10044244001).

The spelling of 10023112000 in words is "ten billion, twenty-three million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 113899 227798 455596 569495 911192 1138990 1252889 1822384 2277980 2505778 2847475 3644768 4555960 5011556 5694950 6264445 7289536 9111920 10023112 11389900 12528890 14237375 18223840 20046224 22779800 25057780 28474750 31322225 36447680 40092448 45559600 50115560 56949500 62644450 80184896 91119200 100231120 113899000 125288900 156611125 182238400 200462240 227798000 250577800 313222250 400924480 455596000 501155600 626444500 911192000 1002311200 1252889000 2004622400 2505778000 5011556000 10023112000