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12031011020 = 2257378327983
BaseRepresentation
bin10110011010001101…
…01010100011001100
31011001110110200110202
423031012222203030
5144114414323040
65305454153032
7604065622610
oct131506524314
934043420422
1012031011020
115114212716
1223b91b2778
131199701a42
14821bb1340
154a6349015
hex2cd1aa8cc

12031011020 has 96 divisors (see below), whose sum is σ = 30013175808. Its totient is φ = 3964937472.

The previous prime is 12031010987. The next prime is 12031011023. The reversal of 12031011020 is 2011013021.

It is a super-2 number, since 2×120310110202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12031010992 and 12031011010.

It is not an unprimeable number, because it can be changed into a prime (12031011023) 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, 415949 + ... + 443931.

It is an arithmetic number, because the mean of its divisors is an integer number (312637248).

Almost surely, 212031011020 is an apocalyptic number.

12031011020 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 12031011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006587904).

12031011020 is an abundant number, since it is smaller than the sum of its proper divisors (17982164788).

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

12031011020 is a wasteful number, since it uses less digits than its factorization.

12031011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28119 (or 28117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12031011020 its reverse (2011013021), we get a palindrome (14042024041).

The spelling of 12031011020 in words is "twelve billion, thirty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 83 140 148 166 185 259 332 370 415 518 581 740 830 1036 1162 1295 1660 2324 2590 2905 3071 5180 5810 6142 11620 12284 15355 21497 27983 30710 42994 55966 61420 85988 107485 111932 139915 195881 214970 279830 391762 429940 559660 783524 979405 1035371 1958810 2070742 2322589 3917620 4141484 4645178 5176855 7247597 9290356 10353710 11612945 14495194 16258123 20707420 23225890 28990388 32516246 36237985 46451780 65032492 72475970 81290615 85935793 144951940 162581230 171871586 325162460 343743172 429678965 601550551 859357930 1203101102 1718715860 2406202204 3007752755 6015505510 12031011020