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13223402140 = 22513435920047
BaseRepresentation
bin11000101000010110…
…10001101010011100
31021010120011102120211
430110023101222130
5204040142332030
610024051222204
7645455030554
oct142413215234
937116142524
1013223402140
1156762a1823
1226905a7964
131329760b10
148d62c0164
15525d8012a
hex3142d1a9c

13223402140 has 96 divisors (see below), whose sum is σ = 31120911360. Its totient is φ = 4687877376.

The previous prime is 13223402113. The next prime is 13223402147. The reversal of 13223402140 is 4120432231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13223402147) 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, 649597 + ... + 669643.

It is an arithmetic number, because the mean of its divisors is an integer number (324176160).

Almost surely, 213223402140 is an apocalyptic number.

13223402140 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 13223402140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560455680).

13223402140 is an abundant number, since it is smaller than the sum of its proper divisors (17897509220).

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

13223402140 is a wasteful number, since it uses less digits than its factorization.

13223402140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20171 (or 20169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13223402140 its reverse (4120432231), we get a palindrome (17343834371).

The spelling of 13223402140 in words is "thirteen billion, two hundred twenty-three million, four hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 59 65 86 118 130 172 215 236 260 295 430 559 590 767 860 1118 1180 1534 2236 2537 2795 3068 3835 5074 5590 7670 10148 11180 12685 15340 20047 25370 32981 40094 50740 65962 80188 100235 131924 164905 200470 260611 329810 400940 521222 659620 862021 1042444 1182773 1303055 1724042 2365546 2606110 3448084 4310105 4731092 5212220 5913865 8620210 11206273 11827730 15376049 17240420 22412546 23655460 30752098 44825092 50859239 56031365 61504196 76880245 101718478 112062730 153760490 203436956 224125460 254296195 307520980 508592390 661170107 1017184780 1322340214 2644680428 3305850535 6611701070 13223402140