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32111311001300 = 2252321113110013
BaseRepresentation
bin1110100110100011111110…
…10010010001011011010100
311012200210220110211100111222
413103101333102101123110
513202102431104020200
6152143422125145512
76522652135655036
oct723217722213324
9135623813740458
1032111311001300
11a26036aa136a3
1237274790bb298
1314bc11198aa1b
147d02a51a5c56
153aa450013d85
hex1d347f4916d4

32111311001300 has 18 divisors (see below), whose sum is σ = 69681544873038. Its totient is φ = 12844524400480.

The previous prime is 32111311001299. The next prime is 32111311001369. The reversal of 32111311001300 is 310011311123.

It can be written as a sum of positive squares in 3 ways, for example, as 4168204057924 + 27943106943376 = 2041618^2 + 5286124^2 .

It is a super-3 number, since 3×321113110013003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 160556554907 + ... + 160556555106.

It is an arithmetic number, because the mean of its divisors is an integer number (3871196937391).

Almost surely, 232111311001300 is an apocalyptic number.

It is an amenable number.

32111311001300 is an abundant number, since it is smaller than the sum of its proper divisors (37570233871738).

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

32111311001300 is a wasteful number, since it uses less digits than its factorization.

32111311001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321113110027 (or 321113110020 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 32111311001300 its reverse (310011311123), we get a palindrome (32421322312423).

The spelling of 32111311001300 in words is "thirty-two trillion, one hundred eleven billion, three hundred eleven million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 321113110013 642226220026 1284452440052 1605565550065 3211131100130 6422262200260 8027827750325 16055655500650 32111311001300