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105037784247 = 31117892103743
BaseRepresentation
bin110000111010010111…
…1010110010010110111
3101001010021010022001110
41201310233112102313
53210104133043442
6120130444130103
710405635302064
oct1416457262267
9331107108043
10105037784247
11406010aaa60
1218434b36933
139b9c43a476
145126159c6b
152aeb65669c
hex1874bd64b7

105037784247 has 32 divisors (see below), whose sum is σ = 163587133440. Its totient is φ = 59241374720.

The previous prime is 105037784237. The next prime is 105037784263. The reversal of 105037784247 is 742487730501.

It is not a de Polignac number, because 105037784247 - 27 = 105037784119 is a prime.

It is a super-2 number, since 2×1050377842472 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105037784196 and 105037784205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105037784237) 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, 1001943 + ... + 1101800.

It is an arithmetic number, because the mean of its divisors is an integer number (5112097920).

Almost surely, 2105037784247 is an apocalyptic number.

105037784247 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105037784247 is a deficient number, since it is larger than the sum of its proper divisors (58549349193).

105037784247 is a wasteful number, since it uses less digits than its factorization.

105037784247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103863.

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 105037784247 in words is "one hundred five billion, thirty-seven million, seven hundred eighty-four thousand, two hundred forty-seven".

Divisors: 1 3 11 17 33 51 89 187 267 561 979 1513 2937 4539 16643 49929 2103743 6311229 23141173 35763631 69423519 107290893 187233127 393399941 561699381 1180199823 2059564397 3182963159 6178693191 9548889477 35012594749 105037784247