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13233320020 = 2252329279433
BaseRepresentation
bin11000101001100010…
…00111000001010100
31021011020211022100201
430110301013001110
5204100212220040
610025043550244
7645635235634
oct142461070124
937136738321
1013233320020
115680956218
12269398b384
13132b82419b
148d77426c4
15526b8da9a
hex314c47054

13233320020 has 144 divisors (see below), whose sum is σ = 30483048960. Its totient is φ = 4815562752.

The previous prime is 13233319993. The next prime is 13233320027. The reversal of 13233320020 is 2002333231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13233320020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233320027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30561724 + ... + 30562156.

It is an arithmetic number, because the mean of its divisors is an integer number (211687840).

Almost surely, 213233320020 is an apocalyptic number.

13233320020 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 13233320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15241524480).

13233320020 is an abundant number, since it is smaller than the sum of its proper divisors (17249728940).

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

13233320020 is a wasteful number, since it uses less digits than its factorization.

13233320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 13233320020 its reverse (2002333231), we get a palindrome (15235653251).

The spelling of 13233320020 in words is "thirteen billion, two hundred thirty-three million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 79 92 115 116 145 158 230 290 316 395 433 460 580 667 790 841 866 1334 1580 1682 1732 1817 2165 2291 2668 3335 3364 3634 4205 4330 4582 6670 7268 8410 8660 9085 9164 9959 11455 12557 13340 16820 18170 19343 19918 22910 25114 34207 36340 38686 39836 45820 49795 50228 52693 62785 66439 68414 77372 96715 99590 105386 125570 132878 136828 171035 193430 199180 210772 251140 263465 265756 288811 332195 342070 364153 386860 526930 577622 664390 684140 728306 786761 992003 1053860 1155244 1328780 1444055 1456612 1528097 1573522 1820765 1984006 2888110 3056194 3147044 3641530 3933805 3968012 4960015 5776220 6112388 7283060 7640485 7867610 8375519 9920030 15280970 15735220 16751038 19840060 22816069 28768087 30561940 33502076 41877595 45632138 57536174 83755190 91264276 114080345 115072348 143840435 167510380 228160690 287680870 456321380 575361740 661666001 1323332002 2646664004 3308330005 6616660010 13233320020