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13023432433220 = 22511717727107903
BaseRepresentation
bin1011110110000100000100…
…0100000101111001000100
31201010000202101202110201112
42331201001010011321010
53201333442200330340
643410514322544152
72512624540114256
oct275410104057104
951100671673645
1013023432433220
1141712300a7690
121564041208058
13736148503511
143304a211bcd6
15178b81915065
hexbd841105e44

13023432433220 has 96 divisors (see below), whose sum is σ = 30259914080256. Its totient is φ = 4668444771200.

The previous prime is 13023432433217. The next prime is 13023432433223. The reversal of 13023432433220 is 2233423432031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13023432433217) and next prime (13023432433223).

It is not an unprimeable number, because it can be changed into a prime (13023432433223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120641789 + ... + 120749691.

It is an arithmetic number, because the mean of its divisors is an integer number (315207438336).

Almost surely, 213023432433220 is an apocalyptic number.

13023432433220 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 13023432433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15129957040128).

13023432433220 is an abundant number, since it is smaller than the sum of its proper divisors (17236481647036).

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

13023432433220 is a wasteful number, since it uses less digits than its factorization.

13023432433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115721 (or 115719 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 13023432433220 its reverse (2233423432031), we get a palindrome (15256855865251).

The spelling of 13023432433220 in words is "thirteen trillion, twenty-three billion, four hundred thirty-two million, four hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7727 7810 15454 15620 30908 38635 77270 84997 107903 154540 169994 215806 339988 424985 431612 539515 548617 849970 1079030 1097234 1186933 1699940 2158060 2194468 2373866 2743085 4747732 5486170 5934665 6034787 7661113 10972340 11869330 12069574 15322226 23738660 24139148 30173935 30644452 38305565 60347870 76611130 84272243 120695740 153222260 168544486 337088972 421361215 833766481 842722430 1667532962 1685444860 3335065924 4168832405 8337664810 9171431291 16675329620 18342862582 36685725164 45857156455 59197420151 91714312910 118394840302 183428625820 236789680604 295987100755 591974201510 651171621661 1183948403020 1302343243322 2604686486644 3255858108305 6511716216610 13023432433220