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320231223114 = 231123731633769
BaseRepresentation
bin1001010100011110100…
…01001010111101001010
31010121120110112122110220
410222033101022331022
520221313143114424
6403040122250510
732064425325165
oct4521721127512
91117513478426
10320231223114
1111389a1a4700
1252090956a36
13242753a344a
14116dc016adc
1584e38a0579
hex4a8f44af4a

320231223114 has 96 divisors (see below), whose sum is σ = 723426325440. Its totient is φ = 94362174720.

The previous prime is 320231223079. The next prime is 320231223131. The reversal of 320231223114 is 411322132023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84962622 + ... + 84966390.

It is an arithmetic number, because the mean of its divisors is an integer number (7535690890).

Almost surely, 2320231223114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320231223114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361713162720).

320231223114 is an abundant number, since it is smaller than the sum of its proper divisors (403195102326).

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

320231223114 is a wasteful number, since it uses less digits than its factorization.

320231223114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 320231223114 its reverse (411322132023), we get a palindrome (731553355137).

It can be divided in two parts, 320231 and 223114, that added together give a palindrome (543345).

The spelling of 320231223114 in words is "three hundred twenty billion, two hundred thirty-one million, two hundred twenty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 726 814 1221 2442 3163 3769 4477 6326 7538 8954 9489 11307 13431 18978 22614 26862 34793 41459 69586 82918 104379 117031 124377 139453 208758 234062 248754 278906 351093 382723 418359 456049 702186 765446 836718 912098 1148169 1287341 1368147 1533983 2296338 2574682 2736294 3067966 3862023 4601949 7724046 9203898 11921347 14160751 16873813 23842694 28321502 33747626 35764041 42482253 50621439 71528082 84964506 101242878 131134817 262269634 393404451 441089839 786808902 882179678 1323269517 1442482987 2646539034 2884965974 4327448961 4851988229 8654897922 9703976458 14555964687 29111929374 53371870519 106743741038 160115611557 320231223114