Search a number
-
+
200023112310112 = 257131911071326549
BaseRepresentation
bin101101011110101110000010…
…100011100101110101100000
3222020020000121121112001200001
4231132232002203211311200
5202204134313222410422
61545225203234305344
760063123121600030
oct5536560243456540
9866200547461601
10200023112310112
1158808364341a93
121a52599b728254
13877c1386b1a20
1437572553c98c0
15181d0d8186227
hexb5eb828e5d60

200023112310112 has 192 divisors, whose sum is σ = 510228052992000. Its totient is φ = 74958283560960.

The previous prime is 200023112310089. The next prime is 200023112310157. The reversal of 200023112310112 is 211013211320002.

200023112310112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 200023112310112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612373014 + ... + 612699562.

It is an arithmetic number, because the mean of its divisors is an integer number (2657437776000).

Almost surely, 2200023112310112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200023112310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255114026496000).

200023112310112 is an abundant number, since it is smaller than the sum of its proper divisors (310204940681888).

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

200023112310112 is a wasteful number, since it uses less digits than its factorization.

200023112310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337669 (or 337661 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 200023112310112 its reverse (211013211320002), we get a palindrome (411036323630114).

The spelling of 200023112310112 in words is "two hundred trillion, twenty-three billion, one hundred twelve million, three hundred ten thousand, one hundred twelve".