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13023320100020 = 22561283201118757
BaseRepresentation
bin1011110110000011101001…
…0111100100110010110100
31201010000110120101100112122
42331200322113210302310
53201333224421200040
643410455231135112
72512622004234236
oct275407227446264
951100416340478
1013023320100020
11417118275202a
12156400b674498
1373612b162179
1433049123a256
15178b76b261b5
hexbd83a5e4cb4

13023320100020 has 96 divisors (see below), whose sum is σ = 27910899171456. Its totient is φ = 5103012441600.

The previous prime is 13023320099957. The next prime is 13023320100113. The reversal of 13023320100020 is 2000102332031.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 694308482 + ... + 694327238.

It is an arithmetic number, because the mean of its divisors is an integer number (290738533036).

Almost surely, 213023320100020 is an apocalyptic number.

13023320100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023320100020 is an abundant number, since it is smaller than the sum of its proper divisors (14887579071436).

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

13023320100020 is a wasteful number, since it uses less digits than its factorization.

13023320100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121 (or 21119 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13023320100020 its reverse (2000102332031), we get a palindrome (15023422432051).

The spelling of 13023320100020 in words is "thirteen trillion, twenty-three billion, three hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 283 305 566 610 1132 1220 1415 2011 2830 4022 5660 8044 10055 17263 18757 20110 34526 37514 40220 69052 75028 86315 93785 122671 172630 187570 245342 345260 375140 490684 569113 613355 1138226 1144177 1226710 2276452 2288354 2453420 2845565 4576708 5308231 5691130 5720885 10616462 11382260 11441770 21232924 22883540 26541155 34715893 37720327 53082310 69431786 75440654 106164620 138863572 150881308 173579465 188601635 323802091 347158930 377203270 647604182 694317860 754406540 1295208364 1619010455 2300939947 3238020910 4601879894 6476041820 9203759788 10674852541 11504699735 21349705082 23009399470 42699410164 46018798940 53374262705 106748525410 213497050820 651166005001 1302332010002 2604664020004 3255830025005 6511660050010 13023320100020