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434201103105 = 35711794758629
BaseRepresentation
bin1100101000110000110…
…01110000101100000001
31112111202012222102102020
412110120121300230001
524103220440244410
6531245204312053
743240623323610
oct6243031605401
91474665872366
10434201103105
11158164226370
12701990a2629
1331c391a7263
141703054d877
15b46426da70
hex6518670b01

434201103105 has 64 divisors (see below), whose sum is σ = 877110681600. Its totient is φ = 178163032320.

The previous prime is 434201103097. The next prime is 434201103151. The reversal of 434201103105 is 501301102434.

It is a happy number.

It is not a de Polignac number, because 434201103105 - 23 = 434201103097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2288070 + ... + 2470559.

It is an arithmetic number, because the mean of its divisors is an integer number (13704854400).

Almost surely, 2434201103105 is an apocalyptic number.

It is an amenable number.

434201103105 is an abundant number, since it is smaller than the sum of its proper divisors (442909578495).

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

434201103105 is a wasteful number, since it uses less digits than its factorization.

434201103105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758734.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 434201103105 its reverse (501301102434), we get a palindrome (935502205539).

The spelling of 434201103105 in words is "four hundred thirty-four billion, two hundred one million, one hundred three thousand, one hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 79 105 165 231 237 385 395 553 869 1155 1185 1659 2607 2765 4345 6083 8295 13035 18249 30415 91245 4758629 14275887 23793145 33310403 52344919 71379435 99931209 157034757 166552015 261724595 366414433 375931691 499656045 785173785 1099243299 1127795073 1832072165 1879658455 2631521837 4135248601 5496216495 5638975365 7894565511 12405745803 13157609185 20676243005 28946740207 39472827555 62028729015 86840220621 144733701035 434201103105