Search a number
-
+
23002022211012 = 223413191483193813
BaseRepresentation
bin1010011101011100100110…
…10111001110110111000100
310000102222020110212202010000
411032232103113032313010
511003331120141223022
6120530552204401300
74562561360545635
oct516562327166704
9100388213782100
1023002022211012
117369114970889
1226b5b42846230
13cab109a668b0
1459743795188c
1529d506dc86ac
hex14eb935cedc4

23002022211012 has 240 divisors, whose sum is σ = 68211953508160. Its totient is φ = 6700487069952.

The previous prime is 23002022211011. The next prime is 23002022211013. The reversal of 23002022211012 is 21011222020032.

23002022211012 is a `hidden beast` number, since 2 + 300 + 20 + 222 + 110 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (23002022211011) and next prime (23002022211013).

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

It is not an unprimeable number, because it can be changed into a prime (23002022211011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118584618 + ... + 118778430.

Almost surely, 223002022211012 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 23002022211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34105976754080).

23002022211012 is an abundant number, since it is smaller than the sum of its proper divisors (45209931297148).

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

23002022211012 is a wasteful number, since it uses less digits than its factorization.

23002022211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195344 (or 195333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23002022211012 its reverse (21011222020032), we get a palindrome (44013244231044).

The spelling of 23002022211012 in words is "twenty-three trillion, two billion, twenty-two million, two hundred eleven thousand, twelve".