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10105435312 = 247412200661
BaseRepresentation
bin10010110100101010…
…01011010010110000
3222002021011022011221
421122111023102300
5131143442412222
64350430314424
7505264532350
oct113225132260
928067138157
1010105435312
114316289135
121b60358a14
13c507b4c2b
146bc16ab60
153e22880c7
hex25a54b4b0

10105435312 has 40 divisors (see below), whose sum is σ = 22922095392. Its totient is φ = 4225267200.

The previous prime is 10105435283. The next prime is 10105435321. The reversal of 10105435312 is 21353450101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095739 + ... + 1104922.

Almost surely, 210105435312 is an apocalyptic number.

It is an amenable number.

10105435312 is an abundant number, since it is smaller than the sum of its proper divisors (12816660080).

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

10105435312 is a wasteful number, since it uses less digits than its factorization.

10105435312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200717 (or 2200711 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 10105435312 its reverse (21353450101), we get a palindrome (31458885413).

The spelling of 10105435312 in words is "ten billion, one hundred five million, four hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2296 4592 2200661 4401322 8802644 15404627 17605288 30809254 35210576 61618508 90227101 123237016 180454202 246474032 360908404 631589707 721816808 1263179414 1443633616 2526358828 5052717656 10105435312