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123331344220340 = 22520701329788309
BaseRepresentation
bin11100000010101101010000…
…111101100100000010110100
3121011200100202102122201011022
4130002231100331210002310
5112131130043110022330
61114145345401000312
734656252452636324
oct3402552075440264
9534610672581138
10123331344220340
113632a590630913
12119ba535783098
1353a813279bcc9
1422653a9c65284
15e3d1e81a9ae5
hex702b50f640b4

123331344220340 has 24 divisors (see below), whose sum is σ = 258997082666280. Its totient is φ = 49332297725568.

The previous prime is 123331344220237. The next prime is 123331344220387. The reversal of 123331344220340 is 43022443133321.

123331344220340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1884508455076 + 121446835765264 = 1372774^2 + 11020292^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123331344220340.

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, 10753895 + ... + 19034414.

It is an arithmetic number, because the mean of its divisors is an integer number (10791545111095).

Almost surely, 2123331344220340 is an apocalyptic number.

123331344220340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123331344220340 is an abundant number, since it is smaller than the sum of its proper divisors (135665738445940).

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

123331344220340 is a wasteful number, since it uses less digits than its factorization.

123331344220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29995331 (or 29995329 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 123331344220340 its reverse (43022443133321), we get a palindrome (166353787353661).

The spelling of 123331344220340 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, three hundred forty-four million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 207013 414026 828052 1035065 2070130 4140260 29788309 59576618 119153236 148941545 297883090 595766180 6166567211017 12333134422034 24666268844068 30832836055085 61665672110170 123331344220340