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320135434050 = 23524434817689
BaseRepresentation
bin1001010100010011000…
…11110000111101000010
31010121022210022001120210
410222021203300331002
520221114132342200
6403022421214550
732062153201605
oct4521143607502
91117283261523
10320135434050
11113850119993
1252064861456
132425b5a5523
14116cd40033c
1584da27d650
hex4a898f0f42

320135434050 has 48 divisors (see below), whose sum is σ = 795728221920. Its totient is φ = 85176723840.

The previous prime is 320135434043. The next prime is 320135434051. The reversal of 320135434050 is 50434531023.

It is a super-2 number, since 2×3201354340502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 320135433999 and 320135434017.

It is not an unprimeable number, because it can be changed into a prime (320135434051) 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 23 ways as a sum of consecutive naturals, for example, 2342395 + ... + 2475294.

It is an arithmetic number, because the mean of its divisors is an integer number (16577671290).

Almost surely, 2320135434050 is an apocalyptic number.

320135434050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320135434050 is an abundant number, since it is smaller than the sum of its proper divisors (475592787870).

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

320135434050 is a wasteful number, since it uses less digits than its factorization.

320135434050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818147 (or 4818142 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 320135434050 its reverse (50434531023), we get a palindrome (370569965073).

The spelling of 320135434050 in words is "three hundred twenty billion, one hundred thirty-five million, four hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 443 886 1329 2215 2658 4430 6645 11075 13290 22150 33225 66450 4817689 9635378 14453067 24088445 28906134 48176890 72265335 120442225 144530670 240884450 361326675 722653350 2134236227 4268472454 6402708681 10671181135 12805417362 21342362270 32013543405 53355905675 64027086810 106711811350 160067717025 320135434050