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211215430101 = 313312715711129
BaseRepresentation
bin1100010010110101101…
…0111011000111010101
3202012011222002120021110
43010231122323013111
511430032122230401
6241010411405233
721155054350644
oct3045532730725
9665158076243
10211215430101
11816376708a5
1234b27753819
1316bc0a74150
14a31982d35b
155762db99d6
hex312d6bb1d5

211215430101 has 64 divisors (see below), whose sum is σ = 315051376640. Its totient is φ = 124991424000.

The previous prime is 211215430067. The next prime is 211215430109. The reversal of 211215430101 is 101034512112.

It is not a de Polignac number, because 211215430101 - 215 = 211215397333 is a prime.

It is a super-2 number, since 2×2112154301012 (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 (211215430109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187081305 + ... + 187082433.

It is an arithmetic number, because the mean of its divisors is an integer number (4922677760).

Almost surely, 2211215430101 is an apocalyptic number.

It is an amenable number.

211215430101 is a deficient number, since it is larger than the sum of its proper divisors (103835946539).

211215430101 is a wasteful number, since it uses less digits than its factorization.

211215430101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018.

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 211215430101 its reverse (101034512112), we get a palindrome (312249942213).

The spelling of 211215430101 in words is "two hundred eleven billion, two hundred fifteen million, four hundred thirty thousand, one hundred one".

Divisors: 1 3 13 31 39 93 271 403 571 813 1129 1209 1713 3387 3523 7423 8401 10569 14677 17701 22269 25203 34999 44031 53103 104997 109213 154741 230113 305959 327639 454987 464223 644659 690339 917877 1364961 1933977 2011633 3977467 4796971 6034899 8380567 9484729 11932401 14390913 19984429 25141701 28454187 59953287 62360623 123301477 174702589 187081869 259797577 369904431 524107767 779392731 2271133657 5415780259 6813400971 16247340777 70405143367 211215430101