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123131213021020 = 22533191732027677
BaseRepresentation
bin11011111111110010111000…
…001101100111111101011100
3121010222020011221111102000211
4123333302320031213331130
5112114340211013133040
61113513410502502204
734635636146545111
oct3377627015477534
9533866157442024
10123131213021020
11362627217a9726
12119877a2134964
1353922ba2344c9
142259822590908
15e37dd346b8ea
hex6ffcb8367f5c

123131213021020 has 48 divisors (see below), whose sum is σ = 259385144201568. Its totient is φ = 49098308878080.

The previous prime is 123131213021017. The next prime is 123131213021023. The reversal of 123131213021020 is 20120312131321.

It is an interprime number because it is at equal distance from previous prime (123131213021017) and next prime (123131213021023).

It is a super-2 number, since 2×1231312130210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123131213020982 and 123131213021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123131213021023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59711422 + ... + 61739098.

It is an arithmetic number, because the mean of its divisors is an integer number (5403857170866).

Almost surely, 2123131213021020 is an apocalyptic number.

123131213021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123131213021020 is an abundant number, since it is smaller than the sum of its proper divisors (136253931180548).

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

123131213021020 is a wasteful number, since it uses less digits than its factorization.

123131213021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037190 (or 2037188 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 123131213021020 its reverse (20120312131321), we get a palindrome (143251525152341).

The spelling of 123131213021020 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, two hundred thirteen million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 331 662 1324 1655 3310 6620 9173 18346 36692 45865 91730 183460 2027677 3036263 4055354 6072526 8110708 10138385 12145052 15181315 20276770 30362630 40553540 60725260 671161087 1342322174 2684644348 3355805435 6711610870 13423221740 18599881121 37199762242 74399524484 92999405605 185998811210 371997622420 6156560651051 12313121302102 24626242604204 30782803255255 61565606510510 123131213021020