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13200311023540 = 2252333973371293
BaseRepresentation
bin1100000000010110111111…
…0110010111011110110100
31201201221022101000211212021
43000011233312113132310
53212233214110223130
644024050021002524
72531456004246514
oct300055766273664
951657271024767
1013200311023540
11422a247494543
121592385553444
13749a26564a94
14338c81549844
1517d58509637a
hexc016fd977b4

13200311023540 has 48 divisors (see below), whose sum is σ = 27840717083088. Its totient is φ = 5257256868864.

The previous prime is 13200311023531. The next prime is 13200311023553. The reversal of 13200311023540 is 4532011300231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2317622595876 + 10882688427664 = 1522374^2 + 3298892^2 .

It is a super-2 number, since 2×132003110235402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185120134 + ... + 185191426.

It is an arithmetic number, because the mean of its divisors is an integer number (580014939231).

Almost surely, 213200311023540 is an apocalyptic number.

13200311023540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200311023540 is an abundant number, since it is smaller than the sum of its proper divisors (14640406059548).

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

13200311023540 is a wasteful number, since it uses less digits than its factorization.

13200311023540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111268 (or 111266 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13200311023540 its reverse (4532011300231), we get a palindrome (17732322323771).

The spelling of 13200311023540 in words is "thirteen trillion, two hundred billion, three hundred eleven million, twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 39733 71293 79466 142586 158932 198665 285172 356465 397330 712930 794660 1425860 9257789 16611269 18515578 33222538 37031156 46288945 66445076 83056345 92577890 166112690 185155780 332225380 2832684769 5665369538 11330739076 14163423845 28326847690 56653695380 660015551177 1320031102354 2640062204708 3300077755885 6600155511770 13200311023540