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20131002032220 = 22335142926087917
BaseRepresentation
bin1001001001111000111010…
…01110011010000001011100
32122021111122010220021002000
410210330131032122001130
510114311243010012340
6110452015450202300
74145262665642652
oct444743516320134
978244563807060
1020131002032220
116461567918872
122311633a23390
13b30464957731
144d84ba842dd2
1524d9c0b7cd30
hex124f1d39a05c

20131002032220 has 96 divisors (see below), whose sum is σ = 62673614203200. Its totient is φ = 5364510342912.

The previous prime is 20131002032213. The next prime is 20131002032221. The reversal of 20131002032220 is 2223020013102.

20131002032220 is a `hidden beast` number, since 201 + 3 + 100 + 20 + 322 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20131002032193 and 20131002032202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131002032221) 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, 12272299 + ... + 13815618.

It is an arithmetic number, because the mean of its divisors is an integer number (652850147950).

Almost surely, 220131002032220 is an apocalyptic number.

20131002032220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131002032220 is an abundant number, since it is smaller than the sum of its proper divisors (42542612170980).

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

20131002032220 is a wasteful number, since it uses less digits than its factorization.

20131002032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26089364 (or 26089356 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20131002032220 its reverse (2223020013102), we get a palindrome (22354022045322).

The spelling of 20131002032220 in words is "twenty trillion, one hundred thirty-one billion, two million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1429 2858 4287 5716 7145 8574 12861 14290 17148 21435 25722 28580 38583 42870 51444 64305 77166 85740 128610 154332 192915 257220 385830 771660 26087917 52175834 78263751 104351668 130439585 156527502 234791253 260879170 313055004 391318755 469582506 521758340 704373759 782637510 939165012 1173956265 1408747518 1565275020 2347912530 2817495036 3521868795 4695825060 7043737590 14087475180 37279633393 74559266786 111838900179 149118533572 186398166965 223677800358 335516700537 372796333930 447355600716 559194500895 671033401074 745592667860 1006550101611 1118389001790 1342066802148 1677583502685 2013100203222 2236778003580 3355167005370 4026200406444 5032750508055 6710334010740 10065501016110 20131002032220