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961348437101 = 13349739328661
BaseRepresentation
bin11011111110101001101…
…01010000010001101101
310101220102000200120221102
431333110311100101231
5111222320144441401
62013345401212445
7126312052613513
oct15772465202155
93356360616842
10961348437101
11340784148688
12136395791125
136c8686b0170
143475ada84b3
151a01833b56b
hexdfd4d5046d

961348437101 has 16 divisors (see below), whose sum is σ = 1038441457200. Its totient is φ = 884705310720.

The previous prime is 961348437089. The next prime is 961348437169. The reversal of 961348437101 is 101734843169.

It can be written as a sum of positive squares in 8 ways, for example, as 5314264201 + 956034172900 = 72899^2 + 977770^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-961348437101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961348437191) 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, 33527711 + ... + 33556371.

It is an arithmetic number, because the mean of its divisors is an integer number (64902591075).

Almost surely, 2961348437101 is an apocalyptic number.

It is an amenable number.

961348437101 is a deficient number, since it is larger than the sum of its proper divisors (77093020099).

961348437101 is a wasteful number, since it uses less digits than its factorization.

961348437101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36416.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 961348437101 in words is "nine hundred sixty-one billion, three hundred forty-eight million, four hundred thirty-seven thousand, one hundred one".

Divisors: 1 13 349 4537 7393 28661 96109 372593 2580157 10002689 33542041 130034957 211890773 2754580049 73949879777 961348437101