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13142225010401 = 1931227911107897
BaseRepresentation
bin1011111100111110100110…
…1001110011111011100001
31201112101101020221122111022
42333033221221303323201
53210310234100313101
643541242124055225
72524331405264444
oct277175151637341
951471336848438
1013142225010401
11420764a446103
121583074694515
137443ca4c78c6
14336130d6165b
1517bcd58b5a1b
hexbf3e9a73ee1

13142225010401 has 32 divisors (see below), whose sum is σ = 14358962257920. Its totient is φ = 11982541334400.

The previous prime is 13142225010371. The next prime is 13142225010403. The reversal of 13142225010401 is 10401052224131.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13142225010401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13142225010403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121749485 + ... + 121857381.

It is an arithmetic number, because the mean of its divisors is an integer number (448717570560).

Almost surely, 213142225010401 is an apocalyptic number.

It is an amenable number.

13142225010401 is a deficient number, since it is larger than the sum of its proper divisors (1216737247519).

13142225010401 is a wasteful number, since it uses less digits than its factorization.

13142225010401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109085.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 13142225010401 its reverse (10401052224131), we get a palindrome (23543277234532).

The spelling of 13142225010401 in words is "thirteen trillion, one hundred forty-two billion, two hundred twenty-five million, ten thousand, four hundred one".

Divisors: 1 19 31 227 589 911 4313 7037 17309 28241 107897 133703 206797 536579 2050043 3344807 3929143 6410707 24492619 63551333 98294167 121803433 465359761 759271189 1867589173 3047119177 14426152591 22312775909 57895264363 423942742271 691696053179 13142225010401