Search a number
-
+
2301332123120 = 245110925939271
BaseRepresentation
bin100001011111010010000…
…101010110110111110000
322011000010210101202002112
4201133102011112313300
5300201112010414440
64521114542104452
7325160104201322
oct41372205266760
98130123352075
102301332123120
11807a97a95988
1231201b57b128
131390263673c4
147d5568b5612
153ece25c4965
hex217d2156df0

2301332123120 has 40 divisors (see below), whose sum is σ = 5355422097120. Its totient is φ = 919702757120.

The previous prime is 2301332123117. The next prime is 2301332123141. The reversal of 2301332123120 is 213212331032.

2301332123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×23013321231202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12880916 + ... + 13058355.

It is an arithmetic number, because the mean of its divisors is an integer number (133885552428).

Almost surely, 22301332123120 is an apocalyptic number.

2301332123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301332123120 is an abundant number, since it is smaller than the sum of its proper divisors (3054089974000).

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

2301332123120 is a wasteful number, since it uses less digits than its factorization.

2301332123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25940393 (or 25940387 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2301332123120 its reverse (213212331032), we get a palindrome (2514544454152).

The spelling of 2301332123120 in words is "two trillion, three hundred one billion, three hundred thirty-two million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1109 2218 4436 5545 8872 11090 17744 22180 44360 88720 25939271 51878542 103757084 129696355 207514168 259392710 415028336 518785420 1037570840 2075141680 28766651539 57533303078 115066606156 143833257695 230133212312 287666515390 460266424624 575333030780 1150666061560 2301332123120