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3213506107104 = 253247713513937
BaseRepresentation
bin101110110000110011111…
…000111101011011100000
3102101012121202200021211120
4232300303320331123200
5410122230030411404
610500133032212240
7451111451136456
oct56606370753340
912335552607746
103213506107104
111029927470067
1243a97083a080
131a4056033817
14b176aa489d6
15588cd78c9d9
hex2ec33e3d6e0

3213506107104 has 48 divisors (see below), whose sum is σ = 8438859667728. Its totient is φ = 1070736177152.

The previous prime is 3213506107103. The next prime is 3213506107127. The reversal of 3213506107104 is 4017016053123.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213506107103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6519177 + ... + 6994760.

It is an arithmetic number, because the mean of its divisors is an integer number (175809576411).

Almost surely, 23213506107104 is an apocalyptic number.

It is an amenable number.

3213506107104 is an abundant number, since it is smaller than the sum of its proper divisors (5225353560624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3213506107104 is a wasteful number, since it uses less digits than its factorization.

3213506107104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13516427 (or 13516419 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 3213506107104 in words is "three trillion, two hundred thirteen billion, five hundred six million, one hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2477 4954 7431 9908 14862 19816 29724 39632 59448 79264 118896 237792 13513937 27027874 40541811 54055748 81083622 108111496 162167244 216222992 324334488 432445984 648668976 1297337952 33474021949 66948043898 100422065847 133896087796 200844131694 267792175592 401688263388 535584351184 803376526776 1071168702368 1606753053552 3213506107104