Search a number
-
+
10141041141 = 3271137675903
BaseRepresentation
bin10010111000111010…
…00000000111110101
3222011202011021012100
421130131000013311
5131232101304031
64354141412313
7506206266420
oct113435000765
928152137170
1010141041141
114334398340
121b7026a099
13c57ca067a
146c2b989b7
153e546cde6
hex25c7401f5

10141041141 has 96 divisors (see below), whose sum is σ = 19039408128. Its totient is φ = 5048334720.

The previous prime is 10141041103. The next prime is 10141041143. The reversal of 10141041141 is 14114014101.

10141041141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10141041141 - 26 = 10141041077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141041143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1714996 + ... + 1720898.

It is an arithmetic number, because the mean of its divisors is an integer number (198327168).

Almost surely, 210141041141 is an apocalyptic number.

10141041141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10141041141 is a deficient number, since it is larger than the sum of its proper divisors (8898366987).

10141041141 is a wasteful number, since it uses less digits than its factorization.

10141041141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6031 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10141041141 its reverse (14114014101), we get a palindrome (24255055242).

The spelling of 10141041141 in words is "ten billion, one hundred forty-one million, forty-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 33 37 63 67 77 99 111 201 231 259 333 407 469 603 693 737 777 1221 1407 2211 2331 2479 2849 3663 4221 5159 5903 6633 7437 8547 15477 17353 17709 22311 25641 27269 41321 46431 52059 53127 64933 81807 123963 156177 190883 194799 218411 245421 371889 395501 454531 572649 584397 655233 1186503 1363593 1528877 1717947 1965699 2402521 2768507 3559509 4090779 4350511 4586631 7207563 8305521 13051533 13759893 14633537 16817647 21622689 24916563 30453577 39154599 43900611 50452941 91360731 102434759 131701833 151358823 160968907 274082193 307304277 482906721 921912831 1126782349 1448720163 3380347047 10141041141