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20311102022211 = 32711213375539397
BaseRepresentation
bin1001001111001000011000…
…00001010110001001000011
32122220201111121210200210200
410213210030001112021003
510130234114104202321
6111110442542100243
74164300020414040
oct447441401261103
978821447720720
1020311102022211
116520987644a00
122340516b7a683
13b4443720b050
145030c3a2a1c7
15253512037d26
hex12790c056243

20311102022211 has 144 divisors (see below), whose sum is σ = 40762347068352. Its totient is φ = 9476355525120.

The previous prime is 20311102022171. The next prime is 20311102022251. The reversal of 20311102022211 is 11222020111302.

20311102022211 is a `hidden beast` number, since 20 + 311 + 102 + 0 + 22 + 211 = 666.

It is an interprime number because it is at equal distance from previous prime (20311102022171) and next prime (20311102022251).

It is not a de Polignac number, because 20311102022211 - 215 = 20311101989443 is a prime.

It is a super-3 number, since 3×203111020222113 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20311102022251) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 896965 + ... + 6436361.

Almost surely, 220311102022211 is an apocalyptic number.

20311102022211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20311102022211 is an abundant number, since it is smaller than the sum of its proper divisors (20451245046141).

20311102022211 is a wasteful number, since it uses less digits than its factorization.

20311102022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5539482 (or 5539468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 20311102022211 its reverse (11222020111302), we get a palindrome (31533122133513).

The spelling of 20311102022211 in words is "twenty trillion, three hundred eleven billion, one hundred two million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 121 143 231 259 273 333 363 407 429 481 693 777 819 847 1001 1089 1221 1287 1443 1573 2331 2541 2849 3003 3367 3663 4329 4477 4719 5291 7623 8547 9009 10101 11011 13431 14157 15873 25641 30303 31339 33033 37037 40293 47619 58201 94017 99099 111111 174603 282051 333333 407407 523809 1222221 3666663 5539397 16618191 38775779 49854573 60933367 72012161 116327337 182800101 204957689 216036483 348982011 426533569 504085127 548400303 614873067 648109449 670267037 792133771 1279600707 1434703823 1512255381 1844619201 2010801111 2254534579 2376401313 2664449957 3838802121 4304111469 4536766143 4691869259 5544936397 6032403333 6763603737 7129203939 7993349871 8713471481 12912334407 14075607777 15781742053 16634809191 18651149699 20290811211 23980049613 24799880369 26140414443 29308949527 42226823331 47345226159 49904427573 55953449097 60994300367 74399641107 78421243329 87926848581 142035678477 167860347291 173599162583 182982901101 205162646689 223198923321 263780545743 322398444797 520797487749 548948703303 615487940067 967195334391 1562392463247 1846463820201 2256789113579 2901586003173 6770367340737 20311102022211