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320213124432 = 243211319678781
BaseRepresentation
bin1001010100011100011…
…00001000010101010000
31010121112012111010202100
410222032030020111100
520221244024440212
6403034234320400
732064115435305
oct4521614102520
91117465433670
10320213124432
1111388aa62913
1252086889100
1324271707576
14116d98650ac
1584e1ec7bdc
hex4a8e308550

320213124432 has 60 divisors (see below), whose sum is σ = 904082602644. Its totient is φ = 105793121280.

The previous prime is 320213124419. The next prime is 320213124449. The reversal of 320213124432 is 234421312023.

320213124432 is a `hidden beast` number, since 3 + 2 + 0 + 213 + 1 + 2 + 443 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24738256656 + 295474867776 = 157284^2 + 543576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 320213124396 and 320213124405.

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, 9823119 + ... + 9855662.

Almost surely, 2320213124432 is an apocalyptic number.

It is an amenable number.

320213124432 is an abundant number, since it is smaller than the sum of its proper divisors (583869478212).

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

320213124432 is a wasteful number, since it uses less digits than its factorization.

320213124432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19678908 (or 19678899 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 320213124432 its reverse (234421312023), we get a palindrome (554634436455).

The spelling of 320213124432 in words is "three hundred twenty billion, two hundred thirteen million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 16272 19678781 39357562 59036343 78715124 118072686 157430248 177109029 236145372 314860496 354218058 472290744 708436116 944581488 1416872232 2223702253 2833744464 4447404506 6671106759 8894809012 13342213518 17789618024 20013320277 26684427036 35579236048 40026640554 53368854072 80053281108 106737708144 160106562216 320213124432