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12301313133020 = 2254735839365147
BaseRepresentation
bin1011001100000001111101…
…1001100100100111011100
31121112222211122220012101212
42303000133121210213130
53103021042130224040
642055051212123552
72406512002254122
oct263003731444734
947488748805355
1012301313133020
113a12a596293aa
1214680b0a665b8
136b30165a4082
1430755b29d912
15164ebaa15d65
hexb301f6649dc

12301313133020 has 48 divisors (see below), whose sum is σ = 26383199109120. Its totient is φ = 4815685664064.

The previous prime is 12301313133019. The next prime is 12301313133073. The reversal of 12301313133020 is 2033131310321.

12301313133020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123013131330202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33506087 + ... + 33871233.

It is an arithmetic number, because the mean of its divisors is an integer number (549649981440).

Almost surely, 212301313133020 is an apocalyptic number.

12301313133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301313133020 is an abundant number, since it is smaller than the sum of its proper divisors (14081885976100).

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

12301313133020 is a wasteful number, since it uses less digits than its factorization.

12301313133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401042 (or 401040 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 12301313133020 its reverse (2033131310321), we get a palindrome (14334444443341).

The spelling of 12301313133020 in words is "twelve trillion, three hundred one billion, three hundred thirteen million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 35839 71678 143356 179195 358390 365147 716780 730294 1460588 1684433 1825735 3368866 3651470 6737732 7302940 8422165 16844330 17161909 33688660 34323818 68647636 85809545 171619090 343238180 13086503333 26173006666 52346013332 65432516665 130865033330 261730066660 615065656651 1230131313302 2460262626604 3075328283255 6150656566510 12301313133020