Search a number
-
+
12315223332540 = 2232568417907403
BaseRepresentation
bin1011001100110101110010…
…0000110001011010111100
31121121022202002101112212200
42303031130200301122330
53103233034133120130
642105311400031500
72410513500100512
oct263153440613274
947538662345780
1012315223332540
113a18947572167
12146a933462590
136b4422400a6b
143080ba87c4b2
15165531d0b760
hexb335c8316bc

12315223332540 has 36 divisors (see below), whose sum is σ = 37356177442584. Its totient is φ = 3284059555296.

The previous prime is 12315223332479. The next prime is 12315223332571. The reversal of 12315223332540 is 4523332251321.

12315223332540 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 52 + 2 + 33 + 32 + 540 = 666.

12315223332540 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12315223332495 and 12315223332504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34208953522 + ... + 34208953881.

Almost surely, 212315223332540 is an apocalyptic number.

12315223332540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12315223332540 is an abundant number, since it is smaller than the sum of its proper divisors (25040954110044).

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

12315223332540 is a wasteful number, since it uses less digits than its factorization.

12315223332540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68417907418 (or 68417907413 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 12315223332540 its reverse (4523332251321), we get a palindrome (16838555583861).

The spelling of 12315223332540 in words is "twelve trillion, three hundred fifteen billion, two hundred twenty-three million, three hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68417907403 136835814806 205253722209 273671629612 342089537015 410507444418 615761166627 684179074030 821014888836 1026268611045 1231522333254 1368358148060 2052537222090 2463044666508 3078805833135 4105074444180 6157611666270 12315223332540