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13101414046357 = 71319131313718439
BaseRepresentation
bin1011111010100110100100…
…1000010101101010010101
31201101111001001220212110111
42332221221020111222111
53204123143443440412
643510412335323021
72521355152644130
oct276515110255225
951344031825414
1013101414046357
1141a130774884a
121577185080471
137405c5423b80
1433417cbb3217
1517abe7add2a7
hexbea69215a95

13101414046357 has 64 divisors (see below), whose sum is σ = 17109440409600. Its totient is φ = 9741777776640.

The previous prime is 13101414046283. The next prime is 13101414046393. The reversal of 13101414046357 is 75364041410131.

13101414046357 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-13101414046357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101414046397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710518144 + ... + 710536582.

It is an arithmetic number, because the mean of its divisors is an integer number (267335006400).

Almost surely, 213101414046357 is an apocalyptic number.

It is an amenable number.

13101414046357 is a deficient number, since it is larger than the sum of its proper divisors (4008026363243).

13101414046357 is a wasteful number, since it uses less digits than its factorization.

13101414046357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21746.

The product of its (nonzero) digits is 120960, while the sum is 40.

Adding to 13101414046357 its reverse (75364041410131), we get a palindrome (88465455456488).

The spelling of 13101414046357 in words is "thirteen trillion, one hundred one billion, four hundred fourteen million, forty-six thousand, three hundred fifty-seven".

Divisors: 1 7 13 19 91 131 133 247 917 1703 1729 2489 3137 11921 17423 18439 21959 32357 40781 59603 129073 226499 239707 285467 350341 410947 417221 774839 1677949 2415509 2452387 2876629 4554433 5342311 5423873 7807993 16908563 31401617 31881031 37396177 45894671 54655951 57843143 101503909 219811319 321262697 404902001 596630723 710527363 751960859 1099019717 4176415061 5263726013 7577451733 7693138019 14287256321 53042162131 98506872529 100010794247 143971582927 689548107703 1007801080489 1871630578051 13101414046357