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383332123242 = 233172318155353
BaseRepresentation
bin1011001010000000110…
…00000000001001101010
31100122110002000111112000
411211000120000021222
522240031010420432
6452033401431430
736460220200065
oct5450030001152
91318402014460
10383332123242
1113862aa98942
126236119b576
132a1c03b2283
14147a66598dc
159e8847857c
hex594060026a

383332123242 has 64 divisors (see below), whose sum is σ = 941173551360. Its totient is φ = 115032310272.

The previous prime is 383332123241. The next prime is 383332123277. The reversal of 383332123242 is 242321233383.

383332123242 is a `hidden beast` number, since 3 + 8 + 3 + 3 + 321 + 2 + 324 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 383332123197 and 383332123206.

It is not an unprimeable number, because it can be changed into a prime (383332123241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9056563 + ... + 9098790.

It is an arithmetic number, because the mean of its divisors is an integer number (14705836740).

Almost surely, 2383332123242 is an apocalyptic number.

383332123242 is an abundant number, since it is smaller than the sum of its proper divisors (557841428118).

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

383332123242 is a wasteful number, since it uses less digits than its factorization.

383332123242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18155404 (or 18155398 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 383332123242 in words is "three hundred eighty-three billion, three hundred thirty-two million, one hundred twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 2346 3519 7038 10557 21114 18155353 36310706 54466059 108932118 163398177 308641001 326796354 417573119 490194531 617282002 835146238 925923003 980389062 1252719357 1851846006 2505438714 2777769009 3758158071 5555538018 7098743023 7516316142 8333307027 11274474213 14197486046 16666614054 21296229069 22548948426 42592458138 63888687207 127777374414 191666061621 383332123242