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1312212330 = 23251121322331
BaseRepresentation
bin100111000110110…
…1100010101101010
310101110011021220200
41032031230111222
510141411243310
6334113133030
744342422632
oct11615542552
93343137820
101312212330
11613789600
1230755a176
1317bb22800
14c63bd6c2
157a3039c0
hex4e36c56a

1312212330 has 432 divisors, whose sum is σ = 4374010368. Its totient is φ = 271814400.

The previous prime is 1312212311. The next prime is 1312212331. The reversal of 1312212330 is 332122131.

1312212330 is a `hidden beast` number, since 1 + 312 + 21 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1312212331) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 42329415 + ... + 42329445.

It is an arithmetic number, because the mean of its divisors is an integer number (10125024).

Almost surely, 21312212330 is an apocalyptic number.

1312212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187005184).

1312212330 is an abundant number, since it is smaller than the sum of its proper divisors (3061798038).

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

1312212330 is a wasteful number, since it uses less digits than its factorization.

1312212330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1312212330 is about 36224.4714247151. The cubic root of 1312212330 is about 1094.7997882529.

Adding to 1312212330 its reverse (332122131), we get a palindrome (1644334461).

It can be divided in two parts, 13122 and 12330, that added together give a palindrome (25452).

The spelling of 1312212330 in words is "one billion, three hundred twelve million, two hundred twelve thousand, three hundred thirty".