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133133313222 = 232713174781057
BaseRepresentation
bin111101111111101011…
…1010010010011000110
3110201122021211001022200
41323333113102103012
54140124112010342
6141054404535330
712422111330220
oct1737727222306
9421567731280
10133133313222
1151509314798
12219760b1546
13c729094920
14662d695410
1536e2e8c94c
hex1eff5d24c6

133133313222 has 96 divisors (see below), whose sum is σ = 375905904192. Its totient is φ = 33046659072.

The previous prime is 133133313211. The next prime is 133133313263. The reversal of 133133313222 is 222313331331.

133133313222 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 331 + 322 + 2 = 666.

133133313222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2362683 + ... + 2418374.

It is an arithmetic number, because the mean of its divisors is an integer number (3915686502).

Almost surely, 2133133313222 is an apocalyptic number.

133133313222 is an abundant number, since it is smaller than the sum of its proper divisors (242772590970).

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

133133313222 is a wasteful number, since it uses less digits than its factorization.

133133313222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4781102 (or 4781099 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 133133313222 its reverse (222313331331), we get a palindrome (355446644553).

The spelling of 133133313222 in words is "one hundred thirty-three billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 51 63 78 91 102 117 119 126 153 182 221 234 238 273 306 357 442 546 663 714 819 1071 1326 1547 1638 1989 2142 3094 3978 4641 9282 13923 27846 4781057 9562114 14343171 28686342 33467399 43029513 62153741 66934798 81277969 86059026 100402197 124307482 162555938 186461223 200804394 243833907 301206591 372922446 435076187 487667814 559383669 568945783 602413182 731501721 870152374 1056613597 1118767338 1137891566 1305228561 1463003442 1706837349 2113227194 2610457122 3169840791 3413674698 3915685683 5120512047 6339681582 7396295179 7831371366 9509522373 10241024094 14792590358 19019044746 22188885537 44377771074 66566656611 133133313222