Search a number
-
+
131602780302450 = 2352237128112911481
BaseRepresentation
bin11101111011000100101000…
…111110001010110001110010
3122020222002210000220202200220
4131323010220332022301302
5114222134443224134300
61143521252130153510
736501662402404542
oct3573045076126162
9566862700822626
10131602780302450
1138a29475670036
1212915600a22896
1358581204cc8b2
14246d873c23322
151033454cc5da0
hex77b128f8ac72

131602780302450 has 384 divisors, whose sum is σ = 347093518307328. Its totient is φ = 32929881600000.

The previous prime is 131602780302419. The next prime is 131602780302467. The reversal of 131602780302450 is 54203087206131.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88860755710 + ... + 88860757190.

It is an arithmetic number, because the mean of its divisors is an integer number (903889370592).

Almost surely, 2131602780302450 is an apocalyptic number.

131602780302450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11471825×11471826.

It is a practical number, because each smaller number is the sum of distinct divisors of 131602780302450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173546759153664).

131602780302450 is an abundant number, since it is smaller than the sum of its proper divisors (215490738004878).

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

131602780302450 is a wasteful number, since it uses less digits than its factorization.

131602780302450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 131602780302450 in words is "one hundred thirty-one trillion, six hundred two billion, seven hundred eighty million, three hundred two thousand, four hundred fifty".