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31130221220 = 22577113732281
BaseRepresentation
bin11100111111100000…
…010111101010100100
32222100112000002102022
4130333200113222210
51002223314034340
622145004402312
72151302341310
oct347740275244
988315002368
1031130221220
111222521aa5a
126049546398
132c21597657
1417145b2b40
15c22e7e3b5
hex73f817aa4

31130221220 has 96 divisors (see below), whose sum is σ = 75853241856. Its totient is φ = 10510617600.

The previous prime is 31130221201. The next prime is 31130221223. The reversal of 31130221220 is 2212203113.

It is a super-2 number, since 2×311302212202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31130221223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13646480 + ... + 13648760.

It is an arithmetic number, because the mean of its divisors is an integer number (790137936).

Almost surely, 231130221220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37926620928).

31130221220 is an abundant number, since it is smaller than the sum of its proper divisors (44723020636).

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

31130221220 is a wasteful number, since it uses less digits than its factorization.

31130221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 31130221220 its reverse (2212203113), we get a palindrome (33342424333).

The spelling of 31130221220 in words is "thirty-one billion, one hundred thirty million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1373 1420 1988 2281 2485 2746 4562 4970 5492 6865 9124 9611 9940 11405 13730 15967 19222 22810 27460 31934 38444 45620 48055 63868 79835 96110 97483 159670 161951 192220 194966 319340 323902 389932 487415 647804 682381 809755 974830 1133657 1364762 1619510 1949660 2267314 2729524 3131813 3239020 3411905 4534628 5668285 6263626 6823810 11336570 12527252 13647620 15659065 21922691 22673140 31318130 43845382 62636260 87690764 109613455 219226910 222358723 438453820 444717446 889434892 1111793615 1556511061 2223587230 3113022122 4447174460 6226044244 7782555305 15565110610 31130221220