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131155434340 = 22574321786617
BaseRepresentation
bin111101000100101111…
…0010001101101100100
3110112112110002101120021
41322021132101231210
54122101242344330
6140130232044524
712322103540410
oct1721136215544
9415473071507
10131155434340
1150693907047
1221503833744
13c4a23942a8
1464c2b17d40
1536294e967a
hex1e89791b64

131155434340 has 48 divisors (see below), whose sum is σ = 322093360512. Its totient is φ = 43921817856.

The previous prime is 131155434337. The next prime is 131155434349. The reversal of 131155434340 is 43434551131.

It is a junction number, because it is equal to n+sod(n) for n = 131155434296 and 131155434305.

It is not an unprimeable number, because it can be changed into a prime (131155434349) by changing a digit.

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, 10887289 + ... + 10899328.

It is an arithmetic number, because the mean of its divisors is an integer number (6710278344).

Almost surely, 2131155434340 is an apocalyptic number.

131155434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131155434340 is an abundant number, since it is smaller than the sum of its proper divisors (190937926172).

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

131155434340 is a wasteful number, since it uses less digits than its factorization.

131155434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21786676 (or 21786674 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 131155434340 its reverse (43434551131), we get a palindrome (174589985471).

The spelling of 131155434340 in words is "one hundred thirty-one billion, one hundred fifty-five million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 21786617 43573234 87146468 108933085 152506319 217866170 305012638 435732340 610025276 762531595 936824531 1525063190 1873649062 3050126380 3747298124 4684122655 6557771717 9368245310 13115543434 18736490620 26231086868 32788858585 65577717170 131155434340