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20131220123340 = 22351777325532329
BaseRepresentation
bin1001001001111001010100…
…01110010110111011001100
32122021112012100021102211220
410210330222032112323030
510114312214322421330
6110452053240443340
74145301254456064
oct444745216267314
978245170242756
1020131220123340
116461669a37967
122311694a79550
13b3049aba7331
144d84db7b43a4
1524d9d4dac710
hex124f2a396ecc

20131220123340 has 96 divisors (see below), whose sum is σ = 59760358822080. Its totient is φ = 5046005047296.

The previous prime is 20131220123321. The next prime is 20131220123341. The reversal of 20131220123340 is 4332102213102.

It is a self number, because there is not a number n which added to its sum of digits gives 20131220123340.

It is not an unprimeable number, because it can be changed into a prime (20131220123341) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11977705 + ... + 13554624.

It is an arithmetic number, because the mean of its divisors is an integer number (622503737730).

Almost surely, 220131220123340 is an apocalyptic number.

20131220123340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20131220123340 is an abundant number, since it is smaller than the sum of its proper divisors (39629138698740).

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

20131220123340 is a wasteful number, since it uses less digits than its factorization.

20131220123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25533131 (or 25533129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20131220123340 its reverse (4332102213102), we get a palindrome (24463322336442).

The spelling of 20131220123340 in words is "twenty trillion, one hundred thirty-one billion, two hundred twenty million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 773 1020 1546 2319 3092 3865 4638 7730 9276 11595 13141 15460 23190 26282 39423 46380 52564 65705 78846 131410 157692 197115 262820 394230 788460 25532329 51064658 76596987 102129316 127661645 153193974 255323290 306387948 382984935 434049593 510646580 765969870 868099186 1302148779 1531939740 1736198372 2170247965 2604297558 4340495930 5208595116 6510743895 8680991860 13021487790 19736490317 26042975580 39472980634 59209470951 78945961268 98682451585 118418941902 197364903170 236837883804 296047354755 335520335389 394729806340 592094709510 671040670778 1006561006167 1184189419020 1342081341556 1677601676945 2013122012334 3355203353890 4026244024668 5032805030835 6710406707780 10065610061670 20131220123340