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33420100101 = 338329086249
BaseRepresentation
bin11111000111111111…
…100100001000000101
310012021002210222201020
4133013333210020011
51021421021200401
623204124421353
72262116110113
oct370777441005
9105232728636
1033420100101
111319a858943
1265883a7859
1331c7b07a7b
141890768ab3
15d09001d36
hex7c7fe4205

33420100101 has 8 divisors (see below), whose sum is σ = 44676480000. Its totient is φ = 22221893472.

The previous prime is 33420100093. The next prime is 33420100111. The reversal of 33420100101 is 10100102433.

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

It is not a de Polignac number, because 33420100101 - 23 = 33420100093 is a prime.

It is a super-3 number, since 3×334201001013 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33420100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14541976 + ... + 14544273.

It is an arithmetic number, because the mean of its divisors is an integer number (5584560000).

Almost surely, 233420100101 is an apocalyptic number.

It is an amenable number.

33420100101 is a deficient number, since it is larger than the sum of its proper divisors (11256379899).

33420100101 is a wasteful number, since it uses less digits than its factorization.

33420100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29086635.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 33420100101 its reverse (10100102433), we get a palindrome (43520202534).

The spelling of 33420100101 in words is "thirty-three billion, four hundred twenty million, one hundred thousand, one hundred one".

Divisors: 1 3 383 1149 29086249 87258747 11140033367 33420100101