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211211313330 = 2357199160241
BaseRepresentation
bin1100010010110100101…
…1001110000010110010
3202012011200100102010110
43010231023032002302
511430030044011310
6241010143242150
721155004353463
oct3045513160262
9665150312113
10211211313330
1181635309906
1234b262a9356
1316bbcc623a4
14a31907ad6a
155762854d20
hex312d2ce0b2

211211313330 has 32 divisors (see below), whose sum is σ = 514046694528. Its totient is φ = 55529734400.

The previous prime is 211211313329. The next prime is 211211313343. The reversal of 211211313330 is 33313112112.

It is a happy number.

It is a super-2 number, since 2×2112113133302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211313297 and 211211313306.

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, 49577991 + ... + 49582250.

It is an arithmetic number, because the mean of its divisors is an integer number (16063959204).

Almost surely, 2211211313330 is an apocalyptic number.

211211313330 is an abundant number, since it is smaller than the sum of its proper divisors (302835381198).

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

211211313330 is a wasteful number, since it uses less digits than its factorization.

211211313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99160322.

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

Adding to 211211313330 its reverse (33313112112), we get a palindrome (244524425442).

The spelling of 211211313330 in words is "two hundred eleven billion, two hundred eleven million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 2130 99160241 198320482 297480723 495801205 594961446 991602410 1487403615 2974807230 7040377111 14080754222 21121131333 35201885555 42242262666 70403771110 105605656665 211211313330