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13221336700 = 225211135411709
BaseRepresentation
bin11000101000000110…
…11001011001111100
31021010102021111100001
430110003121121330
5204034130233300
610023535044044
7645431336065
oct142403313174
937112244301
1013221336700
115675110a50
12268b970624
1313291b9970
148d5d0356c
15525ac316a
hex3140d967c

13221336700 has 144 divisors (see below), whose sum is σ = 33788149920. Its totient is φ = 4427136000.

The previous prime is 13221336683. The next prime is 13221336701. The reversal of 13221336700 is 763312231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221336701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7735446 + ... + 7737154.

It is an arithmetic number, because the mean of its divisors is an integer number (234639930).

Almost surely, 213221336700 is an apocalyptic number.

13221336700 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 13221336700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894074960).

13221336700 is an abundant number, since it is smaller than the sum of its proper divisors (20566813220).

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

13221336700 is a wasteful number, since it uses less digits than its factorization.

13221336700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 13221336700 its reverse (763312231), we get a palindrome (13984648931).

The spelling of 13221336700 in words is "thirteen billion, two hundred twenty-one million, three hundred thirty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 541 550 572 650 715 1082 1100 1300 1430 1709 2164 2705 2860 3418 3575 5410 5951 6836 7033 7150 8545 10820 11902 13525 14066 14300 17090 18799 22217 23804 27050 28132 29755 34180 35165 37598 42725 44434 54100 59510 70330 75196 77363 85450 88868 93995 111085 119020 140660 148775 154726 170900 175825 187990 222170 244387 297550 309452 351650 375980 386815 444340 469975 488774 555425 595100 703300 773630 924569 939950 977548 1110850 1221935 1547260 1849138 1879900 1934075 2221700 2443870 3698276 3868150 4622845 4887740 6109675 7736300 9245690 10170259 12019397 12219350 18491380 20340518 23114225 24038794 24438700 40681036 46228450 48077588 50851295 60096985 92456900 101702590 120193970 132213367 203405180 240387940 254256475 264426734 300484925 508512950 528853468 600969850 661066835 1017025900 1201939700 1322133670 2644267340 3305334175 6610668350 13221336700