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11312100001 = 137269330661
BaseRepresentation
bin10101000100100000…
…01111001010100001
31002012100201012221201
422202100033022201
5141131344200001
65110253321201
7550216156246
oct124220171241
932170635851
1011312100001
114885427184
122238496201
1310b37a0ac7
147945135cd
1546318d501
hex2a240f2a1

11312100001 has 8 divisors (see below), whose sum is σ = 11399273064. Its totient is φ = 11224993920.

The previous prime is 11312099941. The next prime is 11312100011. The reversal of 11312100001 is 10000121311.

It can be written as a sum of positive squares in 4 ways, for example, as 5255525025 + 6056574976 = 72495^2 + 77824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11312100001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11312100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353611 + ... + 384271.

It is an arithmetic number, because the mean of its divisors is an integer number (1424909133).

Almost surely, 211312100001 is an apocalyptic number.

It is an amenable number.

11312100001 is a deficient number, since it is larger than the sum of its proper divisors (87173063).

11312100001 is a wasteful number, since it uses less digits than its factorization.

11312100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33491.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11312100001 its reverse (10000121311), we get a palindrome (21312221312).

The spelling of 11312100001 in words is "eleven billion, three hundred twelve million, one hundred thousand, one".

Divisors: 1 137 2693 30661 368941 4200557 82570073 11312100001