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11213133312 = 29361311909
BaseRepresentation
bin10100111000101101…
…01101011000000000
31001221110111012011210
422130112231120000
5140431030231222
65052400210120
7544605026523
oct123426553000
931843435153
1011213133312
114834581027
12220b309940
13109912c734
14785310bba
1545963ed0c
hex29c5ad600

11213133312 has 80 divisors (see below), whose sum is σ = 29923732080. Its totient is φ = 3731300352.

The previous prime is 11213133293. The next prime is 11213133317. The reversal of 11213133312 is 21333131211.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213133317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935614 + ... + 947522.

It is an arithmetic number, because the mean of its divisors is an integer number (374046651).

Almost surely, 211213133312 is an apocalyptic number.

11213133312 is a gapful number since it is divisible by the number (12) 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 11213133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14961866040).

11213133312 is an abundant number, since it is smaller than the sum of its proper divisors (18710598768).

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

11213133312 is an equidigital number, since it uses as much as digits as its factorization.

11213133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12543 (or 12527 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 11213133312 its reverse (21333131211), we get a palindrome (32546264523).

The spelling of 11213133312 in words is "eleven billion, two hundred thirteen million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 613 768 1226 1536 1839 2452 3678 4904 7356 9808 11909 14712 19616 23818 29424 35727 39232 47636 58848 71454 78464 95272 117696 142908 156928 190544 235392 285816 313856 381088 470784 571632 762176 941568 1143264 1524352 2286528 3048704 4573056 6097408 7300217 9146112 14600434 18292224 21900651 29200868 43801302 58401736 87602604 116803472 175205208 233606944 350410416 467213888 700820832 934427776 1401641664 1868855552 2803283328 3737711104 5606566656 11213133312