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1312103111201 = 172914917862193
BaseRepresentation
bin10011000101111111011…
…100001001101000100001
311122102202201111012112222
4103011333130021220201
5132444141344024301
62442434415200425
7163540065266021
oct23057734115041
94572681435488
101312103111201
11466506aaa833
12192364816115
13969667218bc
1447712b67a81
15241e676231b
hex1317f709a21

1312103111201 has 16 divisors (see below), whose sum is σ = 1446837714000. Its totient is φ = 1184334778368.

The previous prime is 1312103111191. The next prime is 1312103111239. The reversal of 1312103111201 is 1021113012131.

It can be written as a sum of positive squares in 8 ways, for example, as 6108985600 + 1305994125601 = 78160^2 + 1142801^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312103111201 - 214 = 1312103094817 is a prime.

It is a super-2 number, since 2×13121031112012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1312103111201.

It is not an unprimeable number, because it can be changed into a prime (1312103116201) 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, 8857640 + ... + 9004553.

It is an arithmetic number, because the mean of its divisors is an integer number (90427357125).

Almost surely, 21312103111201 is an apocalyptic number.

It is an amenable number.

1312103111201 is a deficient number, since it is larger than the sum of its proper divisors (134734602799).

1312103111201 is a wasteful number, since it uses less digits than its factorization.

1312103111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17862388.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1312103111201 its reverse (1021113012131), we get a palindrome (2333216123332).

The spelling of 1312103111201 in words is "one trillion, three hundred twelve billion, one hundred three million, one hundred eleven thousand, two hundred one".

Divisors: 1 17 29 149 493 2533 4321 73457 17862193 303657281 518003597 2661466757 8806061149 45244934869 77182535953 1312103111201