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3131120220 = 2235538311863
BaseRepresentation
bin1011101010100001…
…0001101001011100
322002012202101110120
42322220101221130
522403031321340
61234410434540
7140410040244
oct27250215134
98065671416
103131120220
111367487a68
12734732a50
133ab902b77
14219bb8b24
15134d444d0
hexbaa11a5c

3131120220 has 96 divisors (see below), whose sum is σ = 9040937472. Its totient is φ = 809273088.

The previous prime is 3131120189. The next prime is 3131120221. The reversal of 3131120220 is 220211313.

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 3131120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131120221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258009 + ... + 269871.

It is an arithmetic number, because the mean of its divisors is an integer number (94176432).

Almost surely, 23131120220 is an apocalyptic number.

3131120220 is a gapful number since it is divisible by the number (30) 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 3131120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520468736).

3131120220 is an abundant number, since it is smaller than the sum of its proper divisors (5909817252).

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

3131120220 is a wasteful number, since it uses less digits than its factorization.

3131120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12011 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3131120220 is about 55956.4135734234. The cubic root of 3131120220 is about 1462.9626804050.

Adding to 3131120220 its reverse (220211313), we get a palindrome (3351331533).

The spelling of 3131120220 in words is "three billion, one hundred thirty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 83 106 159 166 212 249 265 318 332 415 498 530 636 795 830 996 1060 1245 1590 1660 2490 3180 4399 4980 8798 11863 13197 17596 21995 23726 26394 35589 43990 47452 52788 59315 65985 71178 87980 118630 131970 142356 177945 237260 263940 355890 628739 711780 984629 1257478 1886217 1969258 2514956 2953887 3143695 3772434 3938516 4923145 5907774 6287390 7544868 9431085 9846290 11815548 12574780 14769435 18862170 19692580 29538870 37724340 52185337 59077740 104370674 156556011 208741348 260926685 313112022 521853370 626224044 782780055 1043706740 1565560110 3131120220