Search a number
-
+
1311001022220 = 223537871367777
BaseRepresentation
bin10011000100111101110…
…000000000111100001100
311122022220220201021200120
4103010331300000330030
5132434412230202340
62442133205424540
7163500553552431
oct23047560007414
94568826637616
101311001022220
11465aa0998a9a
121920b770b150
139681c2bc146
144764a643b88
152417eb174d0
hex1313dc00f0c

1311001022220 has 96 divisors (see below), whose sum is σ = 3770502068928. Its totient is φ = 340107558912.

The previous prime is 1311001022209. The next prime is 1311001022251. The reversal of 1311001022220 is 222201001131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311001022220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19308972 + ... + 19376748.

It is an arithmetic number, because the mean of its divisors is an integer number (39276063218).

Almost surely, 21311001022220 is an apocalyptic number.

1311001022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311001022220 is an abundant number, since it is smaller than the sum of its proper divisors (2459501046708).

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

1311001022220 is a wasteful number, since it uses less digits than its factorization.

1311001022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76539 (or 76537 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1311001022220 its reverse (222201001131), we get a palindrome (1533202023351).

The spelling of 1311001022220 in words is "one trillion, three hundred eleven billion, one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 8713 17426 26139 34852 43565 52278 67777 87130 104556 130695 135554 174260 203331 261390 271108 322381 338885 406662 522780 644762 677770 813324 967143 1016655 1289524 1355540 1611905 1934286 2033310 2507749 3223810 3868572 4066620 4835715 5015498 6447620 7523247 9671430 10030996 12538745 15046494 19342860 25077490 30092988 37616235 50154980 75232470 150464940 590541001 1181082002 1771623003 2362164004 2952705005 3543246006 5905410010 7086492012 8858115015 11810820020 17716230030 21850017037 35432460060 43700034074 65550051111 87400068148 109250085185 131100102222 218500170370 262200204444 327750255555 437000340740 655500511110 1311001022220