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13322202040 = 235763175403
BaseRepresentation
bin11000110100001000…
…01010101110111000
31021101110001222120101
430122010022232320
5204240440431130
610041541005144
7651064564120
oct143204125670
937343058511
1013322202040
115717043634
1226b96b37b4
1313440742b4
1490547bc80
1552e8991ca
hex31a10abb8

13322202040 has 64 divisors (see below), whose sum is σ = 34311836160. Its totient is φ = 4560312960.

The previous prime is 13322202017. The next prime is 13322202041. The reversal of 13322202040 is 4020222331.

It is a super-5 number, since 5×133222020405 (a number of 52 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13322201999 and 13322202017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322202041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138979 + ... + 214381.

It is an arithmetic number, because the mean of its divisors is an integer number (536122440).

Almost surely, 213322202040 is an apocalyptic number.

13322202040 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 13322202040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155918080).

13322202040 is an abundant number, since it is smaller than the sum of its proper divisors (20989634120).

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

13322202040 is a wasteful number, since it uses less digits than its factorization.

13322202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76052 (or 76048 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 13322202040 its reverse (4020222331), we get a palindrome (17342424371).

The spelling of 13322202040 in words is "thirteen billion, three hundred twenty-two million, two hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 631 1262 2524 3155 4417 5048 6310 8834 12620 17668 22085 25240 35336 44170 75403 88340 150806 176680 301612 377015 527821 603224 754030 1055642 1508060 2111284 2639105 3016120 4222568 5278210 10556420 21112840 47579293 95158586 190317172 237896465 333055051 380634344 475792930 666110102 951585860 1332220204 1665275255 1903171720 2664440408 3330550510 6661101020 13322202040