Search a number
-
+
10121141440231 = 191736709458957
BaseRepresentation
bin1001001101001000001100…
…0010100100111011100111
31022211120102202020000221221
42103102003002210323213
52311311044202041411
633305331014321211
72063141214526633
oct223220302447347
938746382200857
1010121141440231
113252396538078
121175665959207
1358555b9727c3
1426dc19cbddc3
1512841a218071
hex934830a4ee7

10121141440231 has 16 divisors (see below), whose sum is σ = 10717036466400. Its totient is φ = 9531583521408.

The previous prime is 10121141440217. The next prime is 10121141440273. The reversal of 10121141440231 is 13204414112101.

It is a cyclic number.

It is not a de Polignac number, because 10121141440231 - 215 = 10121141407463 is a prime.

It is a super-2 number, since 2×101211414402312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121141440196 and 10121141440205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121141440031) 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, 21823005 + ... + 22281961.

It is an arithmetic number, because the mean of its divisors is an integer number (669814779150).

Almost surely, 210121141440231 is an apocalyptic number.

10121141440231 is a deficient number, since it is larger than the sum of its proper divisors (595895026169).

10121141440231 is a wasteful number, since it uses less digits than its factorization.

10121141440231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465858.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10121141440231 its reverse (13204414112101), we get a palindrome (23325555552332).

The spelling of 10121141440231 in words is "ten trillion, one hundred twenty-one billion, one hundred forty-one million, four hundred forty thousand, two hundred thirty-one".

Divisors: 1 19 173 3287 6709 127471 458957 1160657 8720183 22052483 79399561 1508591659 3079142513 58503707747 532691654749 10121141440231