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101203313211 = 327211131984463
BaseRepresentation
bin101111001000000110…
…0000000001000111011
3100200020000212222122200
41132100030000020323
53124231022010321
6114254150121243
710211624653200
oct1362014001073
9320200788580
10101203313211
1139a136a5130
1217744950223
13970abc3cb0
144c80bb3ca7
152974bcbd26
hex179030023b

101203313211 has 144 divisors (see below), whose sum is σ = 210295088640. Its totient is φ = 45974355840.

The previous prime is 101203313191. The next prime is 101203313269. The reversal of 101203313211 is 112313302101.

101203313211 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 331 + 321 + 1 = 666.

It is not a de Polignac number, because 101203313211 - 27 = 101203313083 is a prime.

It is a super-2 number, since 2×1012033132112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101203313611) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1155966 + ... + 1240428.

It is an arithmetic number, because the mean of its divisors is an integer number (1460382560).

Almost surely, 2101203313211 is an apocalyptic number.

101203313211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101203313211 is an abundant number, since it is smaller than the sum of its proper divisors (109091775429).

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

101203313211 is a wasteful number, since it uses less digits than its factorization.

101203313211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84526 (or 84516 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101203313211 its reverse (112313302101), we get a palindrome (213516615312).

It can be divided in two parts, 101203 and 313211, that added together give a palindrome (414414).

The spelling of 101203313211 in words is "one hundred one billion, two hundred three million, three hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 7 9 11 13 19 21 33 39 49 57 63 77 91 99 117 133 143 147 171 209 231 247 273 399 429 441 539 627 637 693 741 819 931 1001 1197 1287 1463 1617 1729 1881 1911 2223 2717 2793 3003 4389 4851 5187 5733 7007 8151 8379 9009 10241 12103 13167 15561 19019 21021 24453 30723 36309 57057 63063 84463 92169 108927 133133 171171 253389 399399 591241 760167 929093 1098019 1198197 1604797 1773723 2787279 3294057 4138687 4814391 5321169 6503651 7686133 8361837 9882171 11233579 12078209 12416061 14443173 17652767 19510953 20862361 23058399 33700737 36234627 37248183 45525557 52958301 53802931 58532859 62587083 69175197 78635053 84547463 101102211 108703881 123569369 136576671 146036527 158874903 161408793 187761249 229485971 235905159 253642389 370708107 409730013 438109581 484226379 591832241 688457913 707715477 760927167 864985583 1022255689 1112124321 1314328743 1606401797 1775496723 2065373739 2594956749 3066767067 4819205391 5326490169 7784870247 9200301201 11244812579 14457616173 33734437737 101203313211