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1331244411100 = 2252313491230469
BaseRepresentation
bin10011010111110100010…
…110011010100011011100
311201021011201012222201021
4103113310112122203130
5133302342032123400
62455322031453524
7165115322535052
oct23276426324334
94637151188637
101331244411100
1147363984574a
121960070872a4
13986c7233266
144860ada41d2
1524966e0d71a
hex135f459a8dc

1331244411100 has 72 divisors (see below), whose sum is σ = 2990534288000. Its totient is φ = 513843436800.

The previous prime is 1331244411047. The next prime is 1331244411109. The reversal of 1331244411100 is 11144421331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331244411109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466666 + ... + 1697134.

Almost surely, 21331244411100 is an apocalyptic number.

1331244411100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331244411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495267144000).

1331244411100 is an abundant number, since it is smaller than the sum of its proper divisors (1659289876900).

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

1331244411100 is a wasteful number, since it uses less digits than its factorization.

1331244411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230863 (or 1230856 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1331244411100 its reverse (11144421331), we get a palindrome (1342388832431).

The spelling of 1331244411100 in words is "one trillion, three hundred thirty-one billion, two hundred forty-four million, four hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 349 620 698 775 1396 1550 1745 3100 3490 6980 8725 10819 17450 21638 34900 43276 54095 108190 216380 270475 540950 1081900 1230469 2460938 4921876 6152345 12304690 24609380 30761725 38144539 61523450 76289078 123046900 152578156 190722695 381445390 429433681 762890780 858867362 953613475 1717734724 1907226950 2147168405 3814453900 4294336810 8588673620 10735842025 13312444111 21471684050 26624888222 42943368100 53249776444 66562220555 133124441110 266248882220 332811102775 665622205550 1331244411100