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123011332010320 = 24513118280126933
BaseRepresentation
bin11011111110000011001110…
…101111110111000101010000
3121010112202202020020002011111
4123332003032233313011100
5112110404201443312240
61113342343100423104
734624163324014225
oct3376031657670520
9533482666202144
10123011332010320
11362168a4025a76
1211968506247a94
135383bc38ac010
142253accd7d94c
15e34c18b6c1ea
hex6fe0cebf7150

123011332010320 has 40 divisors (see below), whose sum is σ = 308001450536136. Its totient is φ = 45419568741888.

The previous prime is 123011332010269. The next prime is 123011332010321. The reversal of 123011332010320 is 23010233110321.

It can be written as a sum of positive squares in 4 ways, for example, as 4887300604176 + 118124031406144 = 2210724^2 + 10868488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 123011332010291 and 123011332010300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123011332010321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59140062427 + ... + 59140064506.

Almost surely, 2123011332010320 is an apocalyptic number.

123011332010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123011332010320 is an abundant number, since it is smaller than the sum of its proper divisors (184990118525816).

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

123011332010320 is a wasteful number, since it uses less digits than its factorization.

123011332010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118280126959 (or 118280126953 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123011332010320 its reverse (23010233110321), we get a palindrome (146021565120641).

The spelling of 123011332010320 in words is "one hundred twenty-three trillion, eleven billion, three hundred thirty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 118280126933 236560253866 473120507732 591400634665 946241015464 1182801269330 1537641650129 1892482030928 2365602538660 3075283300258 4731205077320 6150566600516 7688208250645 9462410154640 12301133201032 15376416501290 24602266402064 30752833002580 61505666005160 123011332010320