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212033113320 = 23357252420373
BaseRepresentation
bin1100010101111000101…
…0001000110011101000
3202021021221201011210010
43011132022020303220
511433220434111240
6241223501251520
721214243504020
oct3053612106350
9667257634703
10212033113320
1181a1718a356
1235115563ba0
1316cc12a8a82
14a39627ca80
1557aea86280
hex315e288ce8

212033113320 has 64 divisors (see below), whose sum is σ = 726970677120. Its totient is φ = 48464711424.

The previous prime is 212033113307. The next prime is 212033113333. The reversal of 212033113320 is 23311330212.

212033113320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212033113307) and next prime (212033113333).

It is a super-2 number, since 2×2120331133202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 126209347 + ... + 126211026.

It is an arithmetic number, because the mean of its divisors is an integer number (11358916830).

Almost surely, 2212033113320 is an apocalyptic number.

212033113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212033113320 is an abundant number, since it is smaller than the sum of its proper divisors (514937563800).

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

212033113320 is a wasteful number, since it uses less digits than its factorization.

212033113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252420394 (or 252420390 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 212033113320 its reverse (23311330212), we get a palindrome (235344443532).

The spelling of 212033113320 in words is "two hundred twelve billion, thirty-three million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 252420373 504840746 757261119 1009681492 1262101865 1514522238 1766942611 2019362984 2524203730 3029044476 3533885222 3786305595 5048407460 5300827833 6058088952 7067770444 7572611190 8834713055 10096814920 10601655666 14135540888 15145222380 17669426110 21203311332 26504139165 30290444760 35338852220 42406622664 53008278330 70677704440 106016556660 212033113320