Search a number
-
+
12310022303120 = 245153875278789
BaseRepresentation
bin1011001100100010011010…
…0000011010110110010000
31121120211022121201212210102
42303020212200122312100
53103141411202144440
642103051323551532
72410240554060443
oct263104640326620
947524277655712
1012310022303120
113a16718739843
12146992168b5a8
136b3aa3a17469
14307b45c0b65a
1516532a3e5b15
hexb322681ad90

12310022303120 has 20 divisors (see below), whose sum is σ = 28620801854940. Its totient is φ = 4924008921216.

The previous prime is 12310022303113. The next prime is 12310022303123. The reversal of 12310022303120 is 2130322001321.

It can be written as a sum of positive squares in 2 ways, for example, as 9088729621504 + 3221292681616 = 3014752^2 + 1794796^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12310022303092 and 12310022303101.

It is not an unprimeable number, because it can be changed into a prime (12310022303123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76937639315 + ... + 76937639474.

It is an arithmetic number, because the mean of its divisors is an integer number (1431040092747).

Almost surely, 212310022303120 is an apocalyptic number.

12310022303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12310022303120 is an abundant number, since it is smaller than the sum of its proper divisors (16310779551820).

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

12310022303120 is a wasteful number, since it uses less digits than its factorization.

12310022303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153875278802 (or 153875278796 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12310022303120 its reverse (2130322001321), we get a palindrome (14440344304441).

The spelling of 12310022303120 in words is "twelve trillion, three hundred ten billion, twenty-two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 153875278789 307750557578 615501115156 769376393945 1231002230312 1538752787890 2462004460624 3077505575780 6155011151560 12310022303120