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10131441201 = 34742142443
BaseRepresentation
bin10010110111110000…
…11000011000110001
3222011002002112120000
421123320120120301
5131222122104301
64353155540213
7506031554310
oct113370303061
928132075500
1010131441201
114329a30802
121b68bba669
13c55cbbc2b
146c17ba277
153e46c3786
hex25be18631

10131441201 has 40 divisors (see below), whose sum is σ = 17338204224. Its totient is φ = 5775507360.

The previous prime is 10131441181. The next prime is 10131441209. The reversal of 10131441201 is 10214413101.

10131441201 is a `hidden beast` number, since 10 + 13 + 1 + 441 + 201 = 666.

It is not a de Polignac number, because 10131441201 - 26 = 10131441137 is a prime.

It is a super-2 number, since 2×101314412012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131441209) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217486 + ... + 259928.

Almost surely, 210131441201 is an apocalyptic number.

It is an amenable number.

10131441201 is a deficient number, since it is larger than the sum of its proper divisors (7206763023).

10131441201 is an equidigital number, since it uses as much as digits as its factorization.

10131441201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42883 (or 42874 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10131441201 its reverse (10214413101), we get a palindrome (20345854302).

The spelling of 10131441201 in words is "ten billion, one hundred thirty-one million, four hundred forty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 27 63 81 189 421 567 1263 2947 3789 8841 11367 26523 34101 42443 79569 127329 238707 297101 381987 891303 1145961 2673909 3437883 8021727 17868503 24065181 53605509 125079521 160816527 375238563 482449581 1125715689 1447348743 3377147067 10131441201