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4131146601 = 323541129629
BaseRepresentation
bin1111011000111100…
…0100101101101001
3101122220110222202200
43312033010231221
531430033142401
61521532450413
7204242111121
oct36617045551
911586428680
104131146601
11182aa1964a
12973619a09
1350ab4c05a
142b2931c81
15192a2d686
hexf63c4b69

4131146601 has 12 divisors (see below), whose sum is σ = 5968942980. Its totient is φ = 2753298720.

The previous prime is 4131146563. The next prime is 4131146641. The reversal of 4131146601 is 1066411314.

4131146601 is a `hidden beast` number, since 4 + 1 + 3 + 11 + 46 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 763085376 + 3368061225 = 27624^2 + 58035^2 .

It is not a de Polignac number, because 4131146601 - 27 = 4131146473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4131146641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32946 + ... + 96683.

It is an arithmetic number, because the mean of its divisors is an integer number (497411915).

Almost surely, 24131146601 is an apocalyptic number.

It is an amenable number.

4131146601 is a deficient number, since it is larger than the sum of its proper divisors (1837796379).

4131146601 is a wasteful number, since it uses less digits than its factorization.

4131146601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133176 (or 133173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4131146601 is about 64273.9963048821. The cubic root of 4131146601 is about 1604.5633528468.

Adding to 4131146601 its reverse (1066411314), we get a palindrome (5197557915).

The spelling of 4131146601 in words is "four billion, one hundred thirty-one million, one hundred forty-six thousand, six hundred one".

Divisors: 1 3 9 3541 10623 31869 129629 388887 1166661 459016289 1377048867 4131146601