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242188327003 = 72311323815591
BaseRepresentation
bin1110000110001110001…
…1001001100001011011
3212011010112001202022011
43201203203021201123
512432000202431003
6303132040210351
723332436545630
oct3414343114133
9764115052264
10242188327003
1193790aa6757
123ab304699b7
1319ab8876b8c
14ba1716c187
15647711e46d
hex38638c985b

242188327003 has 32 divisors (see below), whose sum is σ = 291551311872. Its totient is φ = 196689292800.

The previous prime is 242188326997. The next prime is 242188327021. The reversal of 242188327003 is 300723881242.

It is not a de Polignac number, because 242188327003 - 213 = 242188318811 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242188327103) 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, 43314738 + ... + 43320328.

It is an arithmetic number, because the mean of its divisors is an integer number (9110978496).

Almost surely, 2242188327003 is an apocalyptic number.

242188327003 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

242188327003 is a deficient number, since it is larger than the sum of its proper divisors (49362984869).

242188327003 is a wasteful number, since it uses less digits than its factorization.

242188327003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115.

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 242188327003 in words is "two hundred forty-two billion, one hundred eighty-eight million, three hundred twenty-seven thousand, three".

Divisors: 1 7 23 113 161 791 2381 2599 5591 16667 18193 39137 54763 128593 269053 383341 631783 900151 1883371 4422481 6188219 13312171 14531009 43317533 93185197 101717063 306179933 1504275323 2143259531 10529927261 34598332429 242188327003