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1131310220 = 2251743223347
BaseRepresentation
bin100001101101110…
…0110110010001100
32220211202111212112
41003123212302030
54304103411340
6304131523152
740014656345
oct10333466214
92824674775
101131310220
11530660127
12276a594b8
131504c4141
14aa36d0cc
15694bd065
hex436e6c8c

1131310220 has 96 divisors (see below), whose sum is σ = 2592995328. Its totient is φ = 412941312.

The previous prime is 1131310207. The next prime is 1131310241. The reversal of 1131310220 is 220131311.

It is a junction number, because it is equal to n+sod(n) for n = 1131310195 and 1131310204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3260087 + ... + 3260433.

It is an arithmetic number, because the mean of its divisors is an integer number (27010368).

Almost surely, 21131310220 is an apocalyptic number.

1131310220 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 1131310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296497664).

1131310220 is an abundant number, since it is smaller than the sum of its proper divisors (1461685108).

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

1131310220 is a wasteful number, since it uses less digits than its factorization.

1131310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1131310220 is about 33634.9553292404. The cubic root of 1131310220 is about 1041.9828480469.

Adding to 1131310220 its reverse (220131311), we get a palindrome (1351441531).

The spelling of 1131310220 in words is "one billion, one hundred thirty-one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 223 340 347 430 446 694 731 860 892 1115 1388 1462 1735 2230 2924 3470 3655 3791 4460 5899 6940 7310 7582 9589 11798 14620 14921 15164 18955 19178 23596 29495 29842 37910 38356 47945 58990 59684 74605 75820 77381 95890 117980 149210 154762 163013 191780 253657 298420 309524 326026 386905 507314 652052 773810 815065 1014628 1268285 1315477 1547620 1630130 2536570 2630954 3260260 3327383 5073140 5261908 6577385 6654766 13154770 13309532 16636915 26309540 33273830 56565511 66547660 113131022 226262044 282827555 565655110 1131310220