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10114433131 = 1141163137587
BaseRepresentation
bin10010110101101111…
…00000000001101011
3222002220002102212111
421122313200001223
5131203243330011
64351351223151
7505434156145
oct113267400153
928086072774
1010114433131
114320374350
121b63377ab7
13c5261559a
146bd42dc95
153e2e64121
hex25ade006b

10114433131 has 16 divisors (see below), whose sum is σ = 11372473728. Its totient is φ = 8915572800.

The previous prime is 10114433117. The next prime is 10114433141. The reversal of 10114433131 is 13133441101.

It is a cyclic number.

It is not a de Polignac number, because 10114433131 - 27 = 10114433003 is a prime.

It is a super-2 number, since 2×101144331312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10114433111) 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, 4720 + ... + 142306.

It is an arithmetic number, because the mean of its divisors is an integer number (710779608).

Almost surely, 210114433131 is an apocalyptic number.

10114433131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10114433131 is a deficient number, since it is larger than the sum of its proper divisors (1258040597).

10114433131 is a wasteful number, since it uses less digits than its factorization.

10114433131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137802.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10114433131 its reverse (13133441101), we get a palindrome (23247874232).

The spelling of 10114433131 in words is "ten billion, one hundred fourteen million, four hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 11 41 163 451 1793 6683 73513 137587 1513457 5641067 22426681 62051737 246693491 919493921 10114433131