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131373106340 = 225731131269859
BaseRepresentation
bin111101001011001110…
…0101000010010100100
3110120002121200021102012
41322112130220102210
54123023003400330
6140204005333352
712330355656560
oct1722634502244
9416077607365
10131373106340
115079576a263
1221564707258
13c5084c81a8
1465039ba6a0
15363d694c95
hex1e967284a4

131373106340 has 192 divisors, whose sum is σ = 329553100800. Its totient is φ = 43045516800.

The previous prime is 131373106313. The next prime is 131373106343. The reversal of 131373106340 is 43601373131.

It is a junction number, because it is equal to n+sod(n) for n = 131373106297 and 131373106306.

It is not an unprimeable number, because it can be changed into a prime (131373106343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152936831 + ... + 152937689.

It is an arithmetic number, because the mean of its divisors is an integer number (1716422400).

Almost surely, 2131373106340 is an apocalyptic number.

131373106340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131373106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164776550400).

131373106340 is an abundant number, since it is smaller than the sum of its proper divisors (198179994460).

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

131373106340 is a wasteful number, since it uses less digits than its factorization.

131373106340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 131373106340 its reverse (43601373131), we get a palindrome (174974479471).

The spelling of 131373106340 in words is "one hundred thirty-one billion, three hundred seventy-three million, one hundred six thousand, three hundred forty".