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320232234012 = 2231729382314159
BaseRepresentation
bin1001010100011110101…
…01000001110000011100
31010121120112110000011120
410222033111001300130
520221313422442022
6403040200050540
732064440035335
oct4521725016034
91117515400146
10320232234012
1111389a825159
1252091163a50
1324275668602
14116dc1db28c
1584e39eed5c
hex4a8f541c1c

320232234012 has 96 divisors (see below), whose sum is σ = 818715340800. Its totient is φ = 96968481792.

The previous prime is 320232234011. The next prime is 320232234017. The reversal of 320232234012 is 210432232023.

It is a super-2 number, since 2×3202322340122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320232234011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22609789 + ... + 22623947.

It is an arithmetic number, because the mean of its divisors is an integer number (8528284800).

Almost surely, 2320232234012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320232234012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409357670400).

320232234012 is an abundant number, since it is smaller than the sum of its proper divisors (498483106788).

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

320232234012 is a wasteful number, since it uses less digits than its factorization.

320232234012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18035 (or 18033 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320232234012 its reverse (210432232023), we get a palindrome (530664466035).

The spelling of 320232234012 in words is "three hundred twenty billion, two hundred thirty-two million, two hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1479 1972 2958 3823 5916 7646 11469 14159 15292 22938 28318 42477 45876 56636 64991 84954 110867 129982 169908 194973 221734 240703 259964 332601 389946 410611 443468 481406 665202 722109 779892 821222 962812 1231833 1330404 1444218 1642444 1884739 2463666 2888436 3769478 4927332 5654217 6980387 7538956 11308434 13960774 20941161 22616868 27921548 41882322 54129857 83764644 108259714 162389571 216519428 324779142 649558284 920207569 1569765853 1840415138 2760622707 3139531706 3680830276 4709297559 5521245414 6279063412 9418595118 11042490828 18837190236 26686019501 53372039002 80058058503 106744078004 160116117006 320232234012