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1353236225601 = 31331236106519
BaseRepresentation
bin10011101100010011001…
…010100001111001000001
311210100221100200220210110
4103230103022201321001
5134132411433204401
62513400152421533
7166524312062241
oct23542312417101
94710840626713
101353236225601
114819a4630457
1219a3240a78a9
139a7c047a550
14496d5a13b21
15253029719d6
hex13b132a1e41

1353236225601 has 24 divisors (see below), whose sum is σ = 2007811364160. Its totient is φ = 805897481760.

The previous prime is 1353236225597. The next prime is 1353236225609. The reversal of 1353236225601 is 1065226323531.

It is not a de Polignac number, because 1353236225601 - 22 = 1353236225597 is a prime.

It is a super-2 number, since 2×13532362256012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1353236225601.

It is not an unprimeable number, because it can be changed into a prime (1353236225609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18015781 + ... + 18090738.

It is an arithmetic number, because the mean of its divisors is an integer number (83658806840).

Almost surely, 21353236225601 is an apocalyptic number.

It is an amenable number.

1353236225601 is a deficient number, since it is larger than the sum of its proper divisors (654575138559).

1353236225601 is a wasteful number, since it uses less digits than its factorization.

1353236225601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36106597 (or 36106566 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 1353236225601 in words is "one trillion, three hundred fifty-three billion, two hundred thirty-six million, two hundred twenty-five thousand, six hundred one".

Divisors: 1 3 13 31 39 93 403 961 1209 2883 12493 37479 36106519 108319557 469384747 1119302089 1408154241 3357906267 14550927157 34698364759 43652781471 104095094277 451078741867 1353236225601