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211213002231 = 32711733415799
BaseRepresentation
bin1100010010110101000…
…1101010010111110111
3202012011210112012212100
43010231101222113313
511430031012032411
6241010243353143
721155024616420
oct3045521522767
9665153465770
10211213002231
11816362627a0
1234b269827b3
1316bc040403a
14a31939a647
155762a8a456
hex312d46a5f7

211213002231 has 48 divisors (see below), whose sum is σ = 380886105600. Its totient is φ = 109571088960.

The previous prime is 211213002211. The next prime is 211213002263. The reversal of 211213002231 is 132200312112.

211213002231 is a `hidden beast` number, since 21 + 121 + 300 + 223 + 1 = 666.

It is not a de Polignac number, because 211213002231 - 214 = 211212985847 is a prime.

It is a super-2 number, since 2×2112130022312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211213002211) 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, 300070 + ... + 715868.

It is an arithmetic number, because the mean of its divisors is an integer number (7935127200).

Almost surely, 2211213002231 is an apocalyptic number.

211213002231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211213002231 is a deficient number, since it is larger than the sum of its proper divisors (169673103369).

211213002231 is a wasteful number, since it uses less digits than its factorization.

211213002231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416556 (or 416553 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211213002231 its reverse (132200312112), we get a palindrome (343413314343).

The spelling of 211213002231 in words is "two hundred eleven billion, two hundred thirteen million, two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 733 2199 5131 6597 8063 15393 24189 46179 56441 72567 169323 415799 507969 1247397 2910593 3742191 4573789 8731779 13721367 26195337 32016523 41164101 96049569 288148707 304780667 914342001 2133464669 2743026003 3352587337 6400394007 10057762011 19201182021 23468111359 30173286033 70404334077 211213002231