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131434300410 = 2357625877621
BaseRepresentation
bin111101001101000011…
…0000100001111111010
3110120020212211020220020
41322122012010033322
54123134140103120
6140214033111310
712332031056130
oct1723206041772
9416225736806
10131434300410
1150817266276
12215810b8536
13c5180a27ba
14650bb89750
153643c31640
hex1e9a1843fa

131434300410 has 32 divisors (see below), whose sum is σ = 360505510272. Its totient is φ = 30042125760.

The previous prime is 131434300397. The next prime is 131434300447. The reversal of 131434300410 is 14003434131.

It is a super-2 number, since 2×1314343004102 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312938601 + ... + 312939020.

It is an arithmetic number, because the mean of its divisors is an integer number (11265797196).

Almost surely, 2131434300410 is an apocalyptic number.

131434300410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131434300410 is an abundant number, since it is smaller than the sum of its proper divisors (229071209862).

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

131434300410 is a wasteful number, since it uses less digits than its factorization.

131434300410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625877638.

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

Adding to 131434300410 its reverse (14003434131), we get a palindrome (145437734541).

The spelling of 131434300410 in words is "one hundred thirty-one billion, four hundred thirty-four million, three hundred thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 625877621 1251755242 1877632863 3129388105 3755265726 4381143347 6258776210 8762286694 9388164315 13143430041 18776328630 21905716735 26286860082 43811433470 65717150205 131434300410