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1350651146130 = 232511131131376779
BaseRepresentation
bin10011101001111001000…
…101001110111110010010
311210010021012102021102100
4103221321011032332102
5134112113143134010
62512251445301230
7166403252213346
oct23517105167622
94703235367370
101350651146130
114808983a6a40
12199922404816
139a49aa2ca20
144952c577626
1525200a3c2c0
hex13a7914ef92

1350651146130 has 384 divisors, whose sum is σ = 4193134283520. Its totient is φ = 297338388480.

The previous prime is 1350651146107. The next prime is 1350651146161. The reversal of 1350651146130 is 316411560531.

1350651146130 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 6 + 511 + 4 + 6 + 130 = 666.

It is a super-2 number, since 2×13506511461302 (a number of 25 digits) contains 22 as substring.

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, 199237081 + ... + 199243859.

It is an arithmetic number, because the mean of its divisors is an integer number (10919620530).

Almost surely, 21350651146130 is an apocalyptic number.

1350651146130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350651146130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096567141760).

1350651146130 is an abundant number, since it is smaller than the sum of its proper divisors (2842483137390).

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

1350651146130 is a wasteful number, since it uses less digits than its factorization.

1350651146130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1350651146130 in words is "one trillion, three hundred fifty billion, six hundred fifty-one million, one hundred forty-six thousand, one hundred thirty".