Search a number
-
+
10131101421013 = 435910338770283
BaseRepresentation
bin1001001101101101010010…
…1100111000110111010101
31022212112010212200111001001
42103123110230320313111
52311441443430433023
633314055211303301
72063643065133526
oct223332454706725
938775125614031
1010131101421013
1132566376a9051
12117758544ab31
1358648828a761
142704c29c684d
151287ee81d6ad
hex936d4b38dd5

10131101421013 has 16 divisors (see below), whose sum is σ = 10644769175040. Its totient is φ = 9633329509104.

The previous prime is 10131101420977. The next prime is 10131101421043. The reversal of 10131101421013 is 31012410113101.

It is a cyclic number.

It is not a de Polignac number, because 10131101421013 - 213 = 10131101412821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131101421043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19123831 + ... + 19646452.

It is an arithmetic number, because the mean of its divisors is an integer number (665298073440).

Almost surely, 210131101421013 is an apocalyptic number.

It is an amenable number.

10131101421013 is a deficient number, since it is larger than the sum of its proper divisors (513667754027).

10131101421013 is a wasteful number, since it uses less digits than its factorization.

10131101421013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38770488.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10131101421013 its reverse (31012410113101), we get a palindrome (41143511534114).

The spelling of 10131101421013 in words is "ten trillion, one hundred thirty-one billion, one hundred one million, four hundred twenty-one thousand, thirteen".

Divisors: 1 43 59 103 2537 4429 6077 261311 38770283 1667122169 2287446697 3993339149 98360207971 171713583407 235607009791 10131101421013