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104233202332401 = 3397376923220319
BaseRepresentation
bin10111101100110010101110…
…111111111011001011110001
3111200001121010002100011022010
4113230302232333323023301
5102130224044244114101
61005404023324033133
730645412631234322
oct2754625677731361
9450047102304263
10104233202332401
11302370643a977a
12b8351146927a9
1346211c1bccc7c
141ba4cb1ab2449
15c0b528a372d6
hex5eccaeffb2f1

104233202332401 has 16 divisors (see below), whose sum is σ = 139364645388800. Its totient is φ = 69295373313408.

The previous prime is 104233202332361. The next prime is 104233202332421.

It is a happy number.

104233202332401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104233202332401 - 241 = 102034179076849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104233202332421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7121281 + ... + 16099038.

It is an arithmetic number, because the mean of its divisors is an integer number (8710290336800).

Almost surely, 2104233202332401 is an apocalyptic number.

It is an amenable number.

104233202332401 is a deficient number, since it is larger than the sum of its proper divisors (35131443056399).

104233202332401 is a wasteful number, since it uses less digits than its factorization.

104233202332401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23224488.

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

It can be divided in two parts, 10423320 and 2332401, that added together give a palindrome (12755721).

The spelling of 104233202332401 in words is "one hundred four trillion, two hundred thirty-three billion, two hundred two million, three hundred thirty-two thousand, four hundred one".

Divisors: 1 3 397 1191 3769 11307 1496293 4488879 23220319 69660957 9218466643 27655399929 87517382311 262552146933 34744400777467 104233202332401