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320243313132 = 223242192108473
BaseRepresentation
bin1001010100011111111…
…11010010100111101100
31010121121022021212212100
410222033333102213230
520221324242010012
6403041233335100
732064633151101
oct4521777224754
91117538255770
10320243313132
111138a6002056
1252094a07490
1324277a473c2
14116dd882aa8
1584e498c8dc
hex4a8ffd29ec

320243313132 has 36 divisors (see below), whose sum is σ = 809696185480. Its totient is φ = 106722418752.

The previous prime is 320243313127. The next prime is 320243313179. The reversal of 320243313132 is 231313342023.

320243313132 is a `hidden beast` number, since 3 + 202 + 433 + 13 + 13 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 320243313096 and 320243313105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 902353 + ... + 1206120.

Almost surely, 2320243313132 is an apocalyptic number.

It is an amenable number.

320243313132 is an abundant number, since it is smaller than the sum of its proper divisors (489452872348).

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

320243313132 is a wasteful number, since it uses less digits than its factorization.

320243313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112702 (or 2112697 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 320243313132 its reverse (231313342023), we get a palindrome (551556655155).

It can be divided in two parts, 320243 and 313132, that added together give a triangular number (633375 = T1125).

The spelling of 320243313132 in words is "three hundred twenty billion, two hundred forty-three million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4219 8438 12657 16876 25314 37971 50628 75942 151884 2108473 4216946 6325419 8433892 12650838 18976257 25301676 37952514 75905028 8895647587 17791295174 26686942761 35582590348 53373885522 80060828283 106747771044 160121656566 320243313132