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13402052001 = 3213464324671
BaseRepresentation
bin11000111101101001…
…10001010110100001
31021121000022210010100
430132310301112201
5204421411131001
610053512253013
7653054363622
oct143664612641
937530283110
1013402052001
115758122038
1227203a1169
1313577812b0
14911d05a49
155368bd586
hex31ed315a1

13402052001 has 24 divisors (see below), whose sum is σ = 20852971776. Its totient is φ = 8245306080.

The previous prime is 13402051987. The next prime is 13402052011. The reversal of 13402052001 is 10025020431.

13402052001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13402052001 - 26 = 13402051937 is a prime.

It is a super-3 number, since 3×134020520013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13402052011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530896 + ... + 555566.

It is an arithmetic number, because the mean of its divisors is an integer number (868873824).

Almost surely, 213402052001 is an apocalyptic number.

It is an amenable number.

13402052001 is a deficient number, since it is larger than the sum of its proper divisors (7450919775).

13402052001 is a wasteful number, since it uses less digits than its factorization.

13402052001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29333 (or 29330 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13402052001 its reverse (10025020431), we get a palindrome (23427072432).

The spelling of 13402052001 in words is "thirteen billion, four hundred two million, fifty-two thousand, one".

Divisors: 1 3 9 13 39 117 4643 13929 24671 41787 60359 74013 181077 222039 320723 543231 962169 2886507 114547453 343642359 1030927077 1489116889 4467350667 13402052001