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10131434340 = 2235168857239
BaseRepresentation
bin10010110111110000…
…10110101101100100
3222011002002012010220
421123320112231210
5131222121344330
64353155444340
7506031525306
oct113370265544
928132065126
1010131434340
114329a26635
121b68bb66b0
13c55cb8a81
146c17b7976
153e46c1710
hex25be16b64

10131434340 has 24 divisors (see below), whose sum is σ = 28368016320. Its totient is φ = 2701715808.

The previous prime is 10131434333. The next prime is 10131434347. The reversal of 10131434340 is 4343413101.

It is an interprime number because it is at equal distance from previous prime (10131434333) and next prime (10131434347).

It is a self number, because there is not a number n which added to its sum of digits gives 10131434340.

It is not an unprimeable number, because it can be changed into a prime (10131434347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84428560 + ... + 84428679.

It is an arithmetic number, because the mean of its divisors is an integer number (1182000680).

Almost surely, 210131434340 is an apocalyptic number.

10131434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131434340 is an abundant number, since it is smaller than the sum of its proper divisors (18236581980).

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

10131434340 is a wasteful number, since it uses less digits than its factorization.

10131434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168857251 (or 168857249 counting only the distinct ones).

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

Adding to 10131434340 its reverse (4343413101), we get a palindrome (14474847441).

The spelling of 10131434340 in words is "ten billion, one hundred thirty-one million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 168857239 337714478 506571717 675428956 844286195 1013143434 1688572390 2026286868 2532858585 3377144780 5065717170 10131434340