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31113120220 = 22571331354617
BaseRepresentation
bin11100111110011111…
…001000100111011100
32222022022211021020221
4130332133020213130
51002204424321340
622143154051124
72151004105210
oct347637104734
988268737227
1031113120220
11122165aa7a6
126043879aa4
132c1ab8a910
141712200940
15c2170244a
hex73e7c89dc

31113120220 has 96 divisors (see below), whose sum is σ = 80673844608. Its totient is φ = 9815150592.

The previous prime is 31113120193. The next prime is 31113120221. The reversal of 31113120220 is 2202131113.

It is a junction number, because it is equal to n+sod(n) for n = 31113120194 and 31113120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31113120221) 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, 542352 + ... + 596968.

It is an arithmetic number, because the mean of its divisors is an integer number (840352548).

Almost surely, 231113120220 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 31113120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40336922304).

31113120220 is an abundant number, since it is smaller than the sum of its proper divisors (49560724388).

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

31113120220 is a wasteful number, since it uses less digits than its factorization.

31113120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54959 (or 54957 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31113120220 its reverse (2202131113), we get a palindrome (33315251333).

The spelling of 31113120220 in words is "thirty-one billion, one hundred thirteen million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 313 364 455 626 910 1252 1565 1820 2191 3130 4069 4382 6260 8138 8764 10955 16276 20345 21910 28483 40690 43820 54617 56966 81380 109234 113932 142415 218468 273085 284830 382319 546170 569660 710021 764638 1092340 1420042 1529276 1911595 2840084 3550105 3823190 4970147 7100210 7646380 9940294 14200420 17095121 19880588 24850735 34190242 49701470 68380484 85475605 99402940 119665847 170951210 222236573 239331694 341902420 444473146 478663388 598329235 888946292 1111182865 1196658470 1555656011 2222365730 2393316940 3111312022 4444731460 6222624044 7778280055 15556560110 31113120220