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132211023030333 = 33136714937731101
BaseRepresentation
bin11110000011111011000111…
…000100000010100000111101
3122100010020202111220210011000
4132003323013010002200331
5114312121133343432313
61145104523330520513
736563634254316312
oct3603730704024075
9570106674823130
10132211023030333
113914341a848035
12129b3470136139
1358a05a4a67880
142491094ab6d09
1510441a35d8673
hex783ec710283d

132211023030333 has 64 divisors (see below), whose sum is σ = 215520054624000. Its totient is φ = 79608395116800.

The previous prime is 132211023030293. The next prime is 132211023030337. The reversal of 132211023030333 is 333030320112231.

132211023030333 is a `hidden beast` number, since 1 + 3 + 2 + 21 + 1 + 0 + 2 + 303 + 0 + 333 = 666.

It is not a de Polignac number, because 132211023030333 - 217 = 132211022899261 is a prime.

It is a super-2 number, since 2×1322110230303332 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132211023030297 and 132211023030306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132211023030337) 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, 15361518 + ... + 22369583.

It is an arithmetic number, because the mean of its divisors is an integer number (3367500853500).

Almost surely, 2132211023030333 is an apocalyptic number.

132211023030333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132211023030333 is a deficient number, since it is larger than the sum of its proper divisors (83309031593667).

132211023030333 is a wasteful number, since it uses less digits than its factorization.

132211023030333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37731339 (or 37731333 counting only the distinct ones).

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

Adding to 132211023030333 its reverse (333030320112231), we get a palindrome (465241343142564).

The spelling of 132211023030333 in words is "one hundred thirty-two trillion, two hundred eleven billion, twenty-three million, thirty thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 67 117 149 201 351 447 603 871 1341 1809 1937 2613 4023 5811 7839 9983 17433 23517 29949 52299 89847 129779 269541 389337 1168011 3504033 37731101 113193303 339579909 490504313 1018739727 1471512939 2527983767 4414538817 5621934049 7583951301 13243616451 16865802147 22751853903 32863788971 50597406441 68255561709 73085142637 98591366913 151792219323 219255427911 295774100739 376669581283 657766283733 887322302217 1130008743849 1973298851199 3390026231547 4896704556679 10170078694641 14690113670037 44070341010111 132211023030333