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12313132003100 = 22521272813450313
BaseRepresentation
bin1011001100101101111111…
…0110111110111100011100
31121121010100100012000012202
42303023133312332330130
53103214243243044400
642104324051351032
72410410614065235
oct263133766767434
947533310160182
1012313132003100
113a17a74016425
12146a44abb2478
136b417b05a616
14307d5cc0c08c
1516545d4084d5
hexb32dfdbef1c

12313132003100 has 72 divisors (see below), whose sum is σ = 27025729909248. Its totient is φ = 4869080294400.

The previous prime is 12313132003099. The next prime is 12313132003111. The reversal of 12313132003100 is 130023131321.

It is a super-2 number, since 2×123131320031002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1843544 + ... + 5293856.

Almost surely, 212313132003100 is an apocalyptic number.

12313132003100 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 12313132003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13512864954624).

12313132003100 is an abundant number, since it is smaller than the sum of its proper divisors (14712597906148).

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

12313132003100 is a wasteful number, since it uses less digits than its factorization.

12313132003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450735 (or 3450728 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12313132003100 its reverse (130023131321), we get a palindrome (12443155134421).

The spelling of 12313132003100 in words is "twelve trillion, three hundred thirteen billion, one hundred thirty-two million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 281 508 562 635 1124 1270 1405 2540 2810 3175 5620 6350 7025 12700 14050 28100 35687 71374 142748 178435 356870 713740 892175 1784350 3450313 3568700 6900626 13801252 17251565 34503130 69006260 86257825 172515650 345031300 438189751 876379502 969537953 1752759004 1939075906 2190948755 3878151812 4381897510 4847689765 8763795020 9695379530 10954743775 19390759060 21909487550 24238448825 43818975100 48476897650 96953795300 123131320031 246262640062 492525280124 615656600155 1231313200310 2462626400620 3078283000775 6156566001550 12313132003100