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332104040401233 = 33718116529990563
BaseRepresentation
bin100101110000010111111111…
…1010110110100100101010001
31121112212211120120212012002010
41023200233333112310211101
5322012143033320314413
63134154253455213133
7126644503500405312
oct11340577726644521
91545784516765063
10332104040401233
1196900594965731
12312b7ba32171a9
13113403799b3909
145c01cc8162609
15285dbc5405dc3
hex12e0bff5b4951

332104040401233 has 16 divisors (see below), whose sum is σ = 457285658962496. Its totient is φ = 214228677683520.

The previous prime is 332104040401229. The next prime is 332104040401249.

It is a happy number.

332104040401233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332104040401233 - 22 = 332104040401229 is a prime.

It is a super-2 number, since 2×3321040404012332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 332104040401233.

It is not an unprimeable number, because it can be changed into a prime (332104040401213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8264975191 + ... + 8265015372.

It is an arithmetic number, because the mean of its divisors is an integer number (28580353685156).

Almost surely, 2332104040401233 is an apocalyptic number.

It is an amenable number.

332104040401233 is a deficient number, since it is larger than the sum of its proper divisors (125181618561263).

332104040401233 is a wasteful number, since it uses less digits than its factorization.

332104040401233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16529990784.

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 332104040401233 in words is "three hundred thirty-two trillion, one hundred four billion, forty million, four hundred one thousand, two hundred thirty-three".

Divisors: 1 3 37 111 181 543 6697 20091 16529990563 49589971689 611609650831 1834828952493 2991928291903 8975784875709 110701346800411 332104040401233