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141331505022 = 2333727326189
BaseRepresentation
bin1000001110100000000…
…0111001111101111110
3111111210122011100021000
42003220000321331332
54303421331130042
6144532104351130
713132216654101
oct2035000717576
9444718140230
10141331505022
1154a35a4a614
12234837754a6
13104346aaca6
146baa3d0738
153a22a8674c
hex20e8039f7e

141331505022 has 96 divisors (see below), whose sum is σ = 327222050400. Its totient is φ = 45207611136.

The previous prime is 141331504991. The next prime is 141331505027. The reversal of 141331505022 is 220505133141.

141331505022 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 3 + 150 + 502 + 2 = 666.

141331505022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1413315050222 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141331505027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5383504 + ... + 5409692.

It is an arithmetic number, because the mean of its divisors is an integer number (3408563025).

Almost surely, 2141331505022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141331505022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163611025200).

141331505022 is an abundant number, since it is smaller than the sum of its proper divisors (185890545378).

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

141331505022 is a wasteful number, since it uses less digits than its factorization.

141331505022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26347 (or 26304 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 141331505022 its reverse (220505133141), we get a palindrome (361836638163).

The spelling of 141331505022 in words is "one hundred forty-one billion, three hundred thirty-one million, five hundred five thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 73 74 111 146 219 222 333 438 657 666 999 1314 1369 1971 1998 2701 2738 3942 4107 5402 8103 8214 12321 16206 24309 24642 26189 36963 48618 52378 72927 73926 78567 99937 145854 157134 199874 235701 299811 471402 599622 707103 899433 968993 1414206 1798866 1911797 1937986 2698299 2906979 3823594 5396598 5735391 5813958 8720937 11470782 17206173 17441874 26162811 34412346 35852741 51618519 52325622 70736489 71705482 103237038 107558223 141472978 212209467 215116446 322674669 424418934 636628401 645349338 968024007 1273256802 1909885203 1936048014 2617250093 3819770406 5234500186 7851750279 15703500558 23555250837 47110501674 70665752511 141331505022