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10141431311 = 1117101536953
BaseRepresentation
bin10010111000111100…
…11111011000001111
3222011202220002102002
421130132133120033
5131232201300221
64354154022515
7506212513064
oct113436373017
928152802362
1010141431311
1143346344a0
121b70417a3b
13c580a913b
146c2c5ac6b
153e54e880b
hex25c79f60f

10141431311 has 16 divisors (see below), whose sum is σ = 11830170528. Its totient is φ = 8591232000.

The previous prime is 10141431281. The next prime is 10141431323. The reversal of 10141431311 is 11313414101.

It is a cyclic number.

It is not a de Polignac number, because 10141431311 - 26 = 10141431247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141431011) 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, 249590 + ... + 287363.

It is an arithmetic number, because the mean of its divisors is an integer number (739385658).

Almost surely, 210141431311 is an apocalyptic number.

10141431311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10141431311 is a deficient number, since it is larger than the sum of its proper divisors (1688739217).

10141431311 is a wasteful number, since it uses less digits than its factorization.

10141431311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537082.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10141431311 its reverse (11313414101), we get a palindrome (21454845412).

The spelling of 10141431311 in words is "ten billion, one hundred forty-one million, four hundred thirty-one thousand, three hundred eleven".

Divisors: 1 11 17 101 187 1111 1717 18887 536953 5906483 9128201 54232253 100410211 596554783 921948301 10141431311