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13420123340 = 225131716718181
BaseRepresentation
bin11000111111110011…
…01101010011001100
31021122021022220100012
430133321231103030
5204441022421330
610055355452352
7653364111011
oct143771552314
937567286305
1013420123340
115767345328
1227264570b8
13135b43a8b0
1491448b708
1553828cc95
hex31fe6d4cc

13420123340 has 96 divisors (see below), whose sum is σ = 32329632384. Its totient is φ = 4635463680.

The previous prime is 13420123331. The next prime is 13420123349. The reversal of 13420123340 is 4332102431.

It is an interprime number because it is at equal distance from previous prime (13420123331) and next prime (13420123349).

It is not an unprimeable number, because it can be changed into a prime (13420123349) 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, 729050 + ... + 747230.

It is an arithmetic number, because the mean of its divisors is an integer number (336767004).

Almost surely, 213420123340 is an apocalyptic number.

13420123340 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 13420123340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16164816192).

13420123340 is an abundant number, since it is smaller than the sum of its proper divisors (18909509044).

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

13420123340 is a wasteful number, since it uses less digits than its factorization.

13420123340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18387 (or 18385 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13420123340 its reverse (4332102431), we get a palindrome (17752225771).

The spelling of 13420123340 in words is "thirteen billion, four hundred twenty million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 167 170 221 260 334 340 442 668 835 884 1105 1670 2171 2210 2839 3340 4342 4420 5678 8684 10855 11356 14195 18181 21710 28390 36362 36907 43420 56780 72724 73814 90905 147628 181810 184535 236353 309077 363620 369070 472706 618154 738140 945412 1181765 1236308 1545385 2363530 3036227 3090770 4018001 4727060 6072454 6181540 8036002 12144908 15181135 16072004 20090005 30362270 39470951 40180010 51615859 60724540 78941902 80360020 103231718 157883804 197354755 206463436 258079295 394709510 516158590 671006167 789419020 1032317180 1342012334 2684024668 3355030835 6710061670 13420123340