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131021143410430 = 25713653220488941
BaseRepresentation
bin11101110010100110111100…
…101101100000011011111110
3122011220111110202111020202001
4131302212330231200123332
5114133122300203113210
61142354140553052514
736411652034401510
oct3562467455403376
9564814422436661
10131021143410430
1138824833817339
12128409379b713a
135815319098270
14244d6586c9bb0
15102326213903a
hex7729bcb606fe

131021143410430 has 64 divisors (see below), whose sum is σ = 290706732425088. Its totient is φ = 41402531197440.

The previous prime is 131021143410427. The next prime is 131021143410433. The reversal of 131021143410430 is 34014341120131.

It is an interprime number because it is at equal distance from previous prime (131021143410427) and next prime (131021143410433).

It is a super-2 number, since 2×1310211434104302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021143410433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109650241 + ... + 110838700.

It is an arithmetic number, because the mean of its divisors is an integer number (4542292694142).

Almost surely, 2131021143410430 is an apocalyptic number.

131021143410430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131021143410430 is an abundant number, since it is smaller than the sum of its proper divisors (159685589014658).

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

131021143410430 is a wasteful number, since it uses less digits than its factorization.

131021143410430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220489621.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131021143410430 its reverse (34014341120131), we get a palindrome (165035484530561).

The spelling of 131021143410430 in words is "one hundred thirty-one trillion, twenty-one billion, one hundred forty-three million, four hundred ten thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 653 910 1306 3265 4571 6530 8489 9142 16978 22855 42445 45710 59423 84890 118846 297115 594230 220488941 440977882 1102444705 1543422587 2204889410 2866356233 3086845174 5732712466 7717112935 14331781165 15434225870 20064493631 28663562330 40128987262 100322468155 143979278473 200644936310 287958556946 719896392365 1007854949311 1439792784730 1871730620149 2015709898622 3743461240298 5039274746555 9358653100745 10078549493110 13102114341043 18717306201490 26204228682086 65510571705215 131021143410430