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101113705 = 57211172207
BaseRepresentation
bin1100000011011…
…01111101101001
321001021002221001
412001231331221
5201341114310
614011115001
72335311100
oct601557551
9231232831
10101113705
1152092250
1229a42a61
1317c436c4
14d601037
158d2493a
hex606df69

101113705 has 48 divisors (see below), whose sum is σ = 163109376. Its totient is φ = 59297280.

The previous prime is 101113703. The next prime is 101113721. The reversal of 101113705 is 507311101.

It is not a de Polignac number, because 101113705 - 21 = 101113703 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101113703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44712 + ... + 46918.

It is an arithmetic number, because the mean of its divisors is an integer number (3398112).

Almost surely, 2101113705 is an apocalyptic number.

It is an amenable number.

101113705 is a deficient number, since it is larger than the sum of its proper divisors (61995671).

101113705 is a wasteful number, since it uses less digits than its factorization.

101113705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 19.

The square root of 101113705 is about 10055.5310650408. The cubic root of 101113705 is about 465.8756460538.

Adding to 101113705 its reverse (507311101), we get a palindrome (608424806).

The spelling of 101113705 in words is "one hundred one million, one hundred thirteen thousand, seven hundred five".

Divisors: 1 5 7 11 17 35 49 55 77 85 119 187 245 385 539 595 833 935 1309 2207 2695 4165 6545 9163 11035 15449 24277 37519 45815 77245 108143 121385 169939 187595 262633 412709 540715 849695 1189573 1313165 1838431 2063545 2888963 5947865 9192155 14444815 20222741 101113705