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961126101 = 33132738251
BaseRepresentation
bin111001010010011…
…001111011010101
32110222112021011000
4321102121323111
53432022013401
6235212133513
732550302625
oct7122317325
92428467130
10961126101
114535922a1
12229a67299
13124179090
149190c885
15595a3186
hex39499ed5

961126101 has 16 divisors (see below), whose sum is σ = 1533421120. Its totient is φ = 591462000.

The previous prime is 961126003. The next prime is 961126129. The reversal of 961126101 is 101621169.

It is not a de Polignac number, because 961126101 - 213 = 961117909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961126151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368775 + ... + 1369476.

It is an arithmetic number, because the mean of its divisors is an integer number (95838820).

Almost surely, 2961126101 is an apocalyptic number.

It is an amenable number.

961126101 is a deficient number, since it is larger than the sum of its proper divisors (572295019).

961126101 is a wasteful number, since it uses less digits than its factorization.

961126101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738273 (or 2738267 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 961126101 is about 31002.0338203802. The cubic root of 961126101 is about 986.8704017715.

The spelling of 961126101 in words is "nine hundred sixty-one million, one hundred twenty-six thousand, one hundred one".

Divisors: 1 3 9 13 27 39 117 351 2738251 8214753 24644259 35597263 73932777 106791789 320375367 961126101