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701831138107 = 111923493729573
BaseRepresentation
bin10100011011010000110…
…01010100101100111011
32111002112211002211222211
422031220121110230323
542444322232404412
61254230004555551
7101464013146411
oct12155031245473
92432484084884
10701831138107
11250710420880
12b40299b2bb7
135124a940008
1425d7c5a52b1
15133c9c11ca7
hexa368654b3b

701831138107 has 32 divisors (see below), whose sum is σ = 841169733120. Its totient is φ = 578030872320.

The previous prime is 701831138089. The next prime is 701831138119.

701831138107 is nontrivially palindromic in base 10.

701831138107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-701831138107 is a prime.

It is a super-3 number, since 3×7018311381073 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 701831138107.

It is not an unprimeable number, because it can be changed into a prime (701831138137) 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, 23717373 + ... + 23746945.

It is an arithmetic number, because the mean of its divisors is an integer number (26286554160).

Almost surely, 2701831138107 is an apocalyptic number.

701831138107 is a deficient number, since it is larger than the sum of its proper divisors (139338595013).

701831138107 is a wasteful number, since it uses less digits than its factorization.

701831138107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34563.

The product of its (nonzero) digits is 28224, while the sum is 40.

It can be divided in two parts, 701831 and 138107, that added together give a palindrome (839938).

The spelling of 701831138107 in words is "seven hundred one billion, eight hundred thirty-one million, one hundred thirty-eight thousand, one hundred seven".

Divisors: 1 11 19 23 209 253 437 4807 4937 29573 54307 93803 113551 325303 561887 680179 1031833 1249061 2157469 6180757 7481969 12923401 23732159 142157411 146001901 1606020911 2774036119 3358043723 30514397309 36938480953 63802830737 701831138107