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12031331132300 = 22521095472017901
BaseRepresentation
bin1010111100010100001100…
…1101111110001110001100
31120121011222011010112101212
42233011003031332032030
53034110131232213200
641331041152553552
72351143413154364
oct257050315761614
946534864115355
1012031331132300
11391950584a277
1214239045528b8
1369371b7a011c
142d8468b2d9a4
1515ce68839035
hexaf14337e38c

12031331132300 has 72 divisors (see below), whose sum is σ = 26395691765520. Its totient is φ = 4759661088000.

The previous prime is 12031331132269. The next prime is 12031331132321. The reversal of 12031331132300 is 323113313021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4953350 + ... + 6971250.

Almost surely, 212031331132300 is an apocalyptic number.

12031331132300 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 12031331132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197845882760).

12031331132300 is an abundant number, since it is smaller than the sum of its proper divisors (14364360633220).

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

12031331132300 is a wasteful number, since it uses less digits than its factorization.

12031331132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018571 (or 2018564 counting only the distinct ones).

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

Adding to 12031331132300 its reverse (323113313021), we get a palindrome (12354444445321).

The spelling of 12031331132300 in words is "twelve trillion, thirty-one billion, three hundred thirty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 547 1090 1094 2180 2188 2725 2735 5450 5470 10900 10940 13675 27350 54700 59623 119246 238492 298115 596230 1192460 1490575 2017901 2981150 4035802 5962300 8071604 10089505 20179010 40358020 50447525 100895050 201790100 219951209 439902418 879804836 1099756045 1103791847 2199512090 2207583694 4399024180 4415167388 5498780225 5518959235 10997560450 11037918470 21995120900 22075836940 27594796175 55189592350 110379184700 120313311323 240626622646 481253245292 601566556615 1203133113230 2406266226460 3007832783075 6015665566150 12031331132300