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93011101001201 = 2937317273448661
BaseRepresentation
bin10101001001011111010101…
…101000101010010111110001
3110012022202220112211211202002
4111021133111220222113301
544142343213324014301
6525452413202103345
725406554534630025
oct2511372550522761
9405282815754662
1093011101001201
11276aa8717a2399
12a52221164ab55
133cb8ba86493a6
1418d7a9305c385
15ab467396116b
hex5497d5a2a5f1

93011101001201 has 16 divisors (see below), whose sum is σ = 99130608948240. Its totient is φ = 87101054772480.

The previous prime is 93011101001081. The next prime is 93011101001233. The reversal of 93011101001201 is 10210010111039.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10740033285601 + 82271067715600 = 3277199^2 + 9070340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93011101001201 is a prime.

It is a super-2 number, since 2×930111010012012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93011101001701) 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, 136384190 + ... + 137064471.

It is an arithmetic number, because the mean of its divisors is an integer number (6195663059265).

Almost surely, 293011101001201 is an apocalyptic number.

It is an amenable number.

93011101001201 is a deficient number, since it is larger than the sum of its proper divisors (6119507947039).

93011101001201 is a wasteful number, since it uses less digits than its factorization.

93011101001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273449044.

The product of its (nonzero) digits is 54, while the sum is 20.

The spelling of 93011101001201 in words is "ninety-three trillion, eleven billion, one hundred one million, one thousand, two hundred one".

Divisors: 1 29 37 317 1073 9193 11729 340141 273448661 7930011169 10117600457 86683225537 293410413253 2513813540573 3207279344869 93011101001201