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31322002323011 = 17232411076011321
BaseRepresentation
bin1110001111100101110001…
…10100100111011001000011
311002220100120012022000202112
413013302320310213121003
513101134430043314021
6150341043525005535
76411640262623121
oct707627064473103
9132810505260675
1031322002323011
119a8664a826174
12361a4b72538ab
1314628629bcb1a
147a3dc8b1c911
15394b5563ad5b
hex1c7cb8d27643

31322002323011 has 96 divisors (see below), whose sum is σ = 35933426214336. Its totient is φ = 27187015680000.

The previous prime is 31322002322953. The next prime is 31322002323023. The reversal of 31322002323011 is 11032320022313.

It is not a de Polignac number, because 31322002323011 - 214 = 31322002306627 is a prime.

It is a super-2 number, since 2×313220023230112 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31322002323091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23710826231 + ... + 23710827551.

It is an arithmetic number, because the mean of its divisors is an integer number (374306523066).

Almost surely, 231322002323011 is an apocalyptic number.

31322002323011 is a deficient number, since it is larger than the sum of its proper divisors (4611423891325).

31322002323011 is a wasteful number, since it uses less digits than its factorization.

31322002323011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31322002323011 its reverse (11032320022313), we get a palindrome (42354322345324).

The spelling of 31322002323011 in words is "thirty-one trillion, three hundred twenty-two billion, two million, three hundred twenty-three thousand, eleven".

Divisors: 1 17 23 41 107 391 529 601 697 943 1321 1819 2461 4387 8993 10217 13823 16031 21689 22457 24641 30383 41837 54161 56603 64307 74579 100901 141347 234991 317929 368713 418897 516511 566743 698809 793921 920737 962251 1093219 1245703 1479061 1715317 2320723 2402899 2636587 3250981 5404793 5795227 9634631 11879753 13035089 13496657 18260183 21176951 25144037 28651169 32550761 34018403 39452291 44821979 55266677 60641501 74772563 84949547 98518859 133290221 221596513 310423111 419984209 487069873 553362937 578312851 748667503 1030905517 1271133571 1394754523 1444142299 1953839581 2265933757 3065675083 3482931427 7139731553 12727347551 17219352569 23710826891 33215272877 44938310363 52116476411 59209834259 80107422821 292728993673 763951276171 1361826187957 1842470724883 31322002323011