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1331020203444 = 2233233714482093
BaseRepresentation
bin10011010111100110111…
…111001000010110110100
311201020121002100001122000
4103113212333020112310
5133301412133002234
62455243502135300
7165106631025321
oct23274677102664
94636532301560
101331020203444
11473534229168
12195b63b81530
139868c9515c9
14485c92bdb48
15249523c1899
hex135e6fc85b4

1331020203444 has 96 divisors (see below), whose sum is σ = 3698147523840. Its totient is φ = 412913407104.

The previous prime is 1331020203437. The next prime is 1331020203451. The reversal of 1331020203444 is 4443020201331.

1331020203444 is a `hidden beast` number, since 1 + 3 + 3 + 10 + 2 + 0 + 203 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (1331020203437) and next prime (1331020203451).

It is a super-2 number, since 2×13310202034442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7149139 + ... + 7332954.

It is an arithmetic number, because the mean of its divisors is an integer number (38522370040).

Almost surely, 21331020203444 is an apocalyptic number.

It is an amenable number.

1331020203444 is an abundant number, since it is smaller than the sum of its proper divisors (2367127320396).

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

1331020203444 is a wasteful number, since it uses less digits than its factorization.

1331020203444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14482166 (or 14482158 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1331020203444 its reverse (4443020201331), we get a palindrome (5774040404775).

The spelling of 1331020203444 in words is "one trillion, three hundred thirty-one billion, twenty million, two hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 37 46 54 69 74 92 108 111 138 148 207 222 276 333 414 444 621 666 828 851 999 1242 1332 1702 1998 2484 2553 3404 3996 5106 7659 10212 15318 22977 30636 45954 91908 14482093 28964186 43446279 57928372 86892558 130338837 173785116 260677674 333088139 391016511 521355348 535837441 666176278 782033022 999264417 1071674882 1332352556 1564066044 1607512323 1998528834 2143349764 2997793251 3215024646 3997057668 4822536969 5995586502 6430049292 8993379753 9645073938 11991173004 12324261143 14467610907 17986759506 19290147876 24648522286 28935221814 35973519012 36972783429 49297044572 57870443628 73945566858 110918350287 147891133716 221836700574 332755050861 443673401148 665510101722 1331020203444