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13133033320 = 23511191570937
BaseRepresentation
bin11000011101100101…
…00010111101101000
31020220021010012212111
430032302202331220
5203344024031240
610011102252104
7643306640611
oct141662427550
936807105774
1013133033320
11562a289350
122666287034
131313b10044
148c82b8c08
1551ce7e1ea
hex30eca2f68

13133033320 has 64 divisors (see below), whose sum is σ = 33932260800. Its totient is φ = 4524295680.

The previous prime is 13133033317. The next prime is 13133033321. The reversal of 13133033320 is 2333033131.

13133033320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13133033291 and 13133033300.

It is not an unprimeable number, because it can be changed into a prime (13133033321) 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 15 ways as a sum of consecutive naturals, for example, 777109 + ... + 793828.

It is an arithmetic number, because the mean of its divisors is an integer number (530191575).

Almost surely, 213133033320 is an apocalyptic number.

13133033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133033320 is an abundant number, since it is smaller than the sum of its proper divisors (20799227480).

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

13133033320 is a wasteful number, since it uses less digits than its factorization.

13133033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570978 (or 1570974 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 13133033320 its reverse (2333033131), we get a palindrome (15466066451).

The spelling of 13133033320 in words is "thirteen billion, one hundred thirty-three million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 1570937 3141874 6283748 7854685 12567496 15709370 17280307 29847803 31418740 34560614 59695606 62837480 69121228 86401535 119391212 138242456 149239015 172803070 238782424 298478030 328325833 345606140 596956060 656651666 691212280 1193912120 1313303332 1641629165 2626606664 3283258330 6566516660 13133033320