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1131220201320 = 2332511285661667
BaseRepresentation
bin10000011101100001111…
…110100110111101101000
311000010212200101022122100
4100131201332212331220
5122013214332420240
62223401514453400
7144504456026436
oct20354176467550
94003780338570
101131220201320
113a6825349370
121632a3434260
138289abb8791
143ca739bdd56
151e65b7a5e30
hex10761fa6f68

1131220201320 has 96 divisors (see below), whose sum is σ = 4010689818720. Its totient is φ = 274235199360.

The previous prime is 1131220201283. The next prime is 1131220201351. The reversal of 1131220201320 is 231020221311.

1131220201320 is a `hidden beast` number, since 11 + 312 + 2 + 0 + 20 + 1 + 320 = 666.

It is a super-2 number, since 2×11312202013202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1131220201293 and 1131220201302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142826874 + ... + 142834793.

It is an arithmetic number, because the mean of its divisors is an integer number (41778018945).

Almost surely, 21131220201320 is an apocalyptic number.

1131220201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131220201320 is an abundant number, since it is smaller than the sum of its proper divisors (2879469617400).

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

1131220201320 is a wasteful number, since it uses less digits than its factorization.

1131220201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285661695 (or 285661688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1131220201320 its reverse (231020221311), we get a palindrome (1362240422631).

The spelling of 1131220201320 in words is "one trillion, one hundred thirty-one billion, two hundred twenty million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 285661667 571323334 856985001 1142646668 1428308335 1713970002 2285293336 2570955003 2856616670 3142278337 3427940004 4284925005 5141910006 5713233340 6284556674 6855880008 8569850010 9426835011 10283820012 11426466680 12569113348 12854775015 15711391685 17139700020 18853670022 20567640024 25138226696 25709550030 28280505033 31422783370 34279400040 37707340044 47134175055 51419100060 56561010066 62845566740 75414680088 94268350110 102838200120 113122020132 125691133480 141402525165 188536700220 226244040264 282805050330 377073400440 565610100660 1131220201320