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10042121041131 = 341509178789759
BaseRepresentation
bin1001001000100001110100…
…0011101011010011101011
31022120000110200101211202210
42102020131003223103223
52304012230441304011
633205141533100203
72054343056315424
oct222103503532353
938500420354683
1010042121041131
113221926591713
121162292027663
1357ac77784bba
1426a0812a264b
15126342c4b6a6
hex9221d0eb4eb

10042121041131 has 32 divisors (see below), whose sum is σ = 13750858598400. Its totient is φ = 6514908504320.

The previous prime is 10042121041097. The next prime is 10042121041217. The reversal of 10042121041131 is 13114012124001.

It is a cyclic number.

It is not a de Polignac number, because 10042121041131 - 27 = 10042121041003 is a prime.

It is a super-2 number, since 2×100421210411312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10042121041098 and 10042121041107.

It is not an unprimeable number, because it can be changed into a prime (10042121091131) 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, 111833830 + ... + 111923588.

It is an arithmetic number, because the mean of its divisors is an integer number (429714331200).

Almost surely, 210042121041131 is an apocalyptic number.

10042121041131 is a deficient number, since it is larger than the sum of its proper divisors (3708737557269).

10042121041131 is a wasteful number, since it uses less digits than its factorization.

10042121041131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92099.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10042121041131 its reverse (13114012124001), we get a palindrome (23156133165132).

The spelling of 10042121041131 in words is "ten trillion, forty-two billion, one hundred twenty-one million, forty-one thousand, one hundred thirty-one".

Divisors: 1 3 41 123 509 1527 1787 5361 20869 62607 73267 89759 219801 269277 909583 2728749 3680119 11040357 37292903 45687331 111878709 137061993 160399333 481197999 1873180571 5619541713 6576372653 19729117959 81643260497 244929781491 3347373680377 10042121041131