Search a number
-
+
103434431010 = 2356156521547
BaseRepresentation
bin110000001010100101…
…1000010101000100010
3100212222112010111220020
41200111023002220202
53143313203243020
6115303410454310
710321126104621
oct1402513025042
9325875114806
10103434431010
113a959048a39
1218067b94396
1399a51cc341
1450132316b8
152a559e3c40
hex18152c2a22

103434431010 has 32 divisors (see below), whose sum is σ = 252312190272. Its totient is φ = 27130342080.

The previous prime is 103434430997. The next prime is 103434431021. The reversal of 103434431010 is 10134434301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28258944 + ... + 28262603.

It is an arithmetic number, because the mean of its divisors is an integer number (7884755946).

Almost surely, 2103434431010 is an apocalyptic number.

103434431010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103434431010 is an abundant number, since it is smaller than the sum of its proper divisors (148877759262).

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

103434431010 is a wasteful number, since it uses less digits than its factorization.

103434431010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56521618.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103434431010 its reverse (10134434301), we get a palindrome (113568865311).

The spelling of 103434431010 in words is "one hundred three billion, four hundred thirty-four million, four hundred thirty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 56521547 113043094 169564641 282607735 339129282 565215470 847823205 1695646410 3447814367 6895628734 10343443101 17239071835 20686886202 34478143670 51717215505 103434431010