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320233131330 = 235729197266921
BaseRepresentation
bin1001010100011110110…
…00011100110101000010
31010121120121010121001120
410222033120130311002
520221314140200310
6403040231213110
732064450463410
oct4521730346502
91117517117046
10320233131330
111138a0288342
1252091517196
13242758c0b78
14116dc3922b0
1584e3b2ab70
hex4a8f61cd42

320233131330 has 128 divisors (see below), whose sum is σ = 913257607680. Its totient is φ = 70313134080.

The previous prime is 320233131299. The next prime is 320233131373. The reversal of 320233131330 is 33131332023.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 320233131330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066270 + ... + 1333190.

It is an arithmetic number, because the mean of its divisors is an integer number (7134825060).

Almost surely, 2320233131330 is an apocalyptic number.

320233131330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320233131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456628803840).

320233131330 is an abundant number, since it is smaller than the sum of its proper divisors (593024476350).

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

320233131330 is a wasteful number, since it uses less digits than its factorization.

320233131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267164.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 320233131330 its reverse (33131332023), we get a palindrome (353364463353).

The spelling of 320233131330 in words is "three hundred twenty billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 197 203 210 290 394 406 435 591 609 870 985 1015 1182 1218 1379 1970 2030 2758 2955 3045 4137 5713 5910 6090 6895 8274 11426 13790 17139 20685 28565 34278 39991 41370 57130 79982 85695 119973 171390 199955 239946 266921 399910 533842 599865 800763 1199730 1334605 1601526 1868447 2669210 3736894 4003815 5605341 7740709 8007630 9342235 11210682 15481418 18684470 23222127 28026705 38703545 46444254 52583437 54184963 56053410 77407090 105166874 108369926 116110635 157750311 162554889 232221270 262917185 270924815 315500622 325109778 368084059 525834370 541849630 736168118 788751555 812774445 1104252177 1524919673 1577503110 1625548890 1840420295 2208504354 3049839346 3680840590 4574759019 5521260885 7624598365 9149518038 10674437711 11042521770 15249196730 21348875422 22873795095 32023313133 45747590190 53372188555 64046626266 106744377110 160116565665 320233131330