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12131011020 = 223510112891553
BaseRepresentation
bin10110100110001000…
…01000100111001100
31011022102122012200110
423103010020213030
5144321014323040
65323425400020
7606421615032
oct132304104714
934272565613
1012131011020
115165704147
122426799010
1311b434553b
148311a2552
154aeeed980
hex2d31089cc

12131011020 has 96 divisors (see below), whose sum is σ = 34351853760. Its totient is φ = 3198361600.

The previous prime is 12131011019. The next prime is 12131011021. The reversal of 12131011020 is 2011013121.

It is an interprime number because it is at equal distance from previous prime (12131011019) and next prime (12131011021).

It is a super-2 number, since 2×121310110202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12131010987 and 12131011005.

It is not an unprimeable number, because it can be changed into a prime (12131011021) 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, 7810564 + ... + 7812116.

It is an arithmetic number, because the mean of its divisors is an integer number (357831810).

Almost surely, 212131011020 is an apocalyptic number.

12131011020 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 12131011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175926880).

12131011020 is an abundant number, since it is smaller than the sum of its proper divisors (22220842740).

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

12131011020 is a wasteful number, since it uses less digits than its factorization.

12131011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12131011020 its reverse (2011013121), we get a palindrome (14142024141).

It can be divided in two parts, 1213101 and 1020, that added together give a palindrome (1214121).

The spelling of 12131011020 in words is "twelve billion, one hundred thirty-one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1289 1515 1553 2020 2578 3030 3106 3867 4659 5156 6060 6212 6445 7734 7765 9318 12890 15468 15530 18636 19335 23295 25780 31060 38670 46590 77340 93180 130189 156853 260378 313706 390567 470559 520756 627412 650945 781134 784265 941118 1301890 1562268 1568530 1882236 1952835 2001817 2352795 2603780 3137060 3905670 4003634 4705590 6005451 7811340 8007268 9411180 10009085 12010902 20018170 24021804 30027255 40036340 60054510 120109020 202183517 404367034 606550551 808734068 1010917585 1213101102 2021835170 2426202204 3032752755 4043670340 6065505510 12131011020