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1330010100342 = 235711197917959
BaseRepresentation
bin10011010110101010110…
…001111001001001110110
311201010222200122111200000
4103112222301321021312
5133242330041202332
62454555340132130
7165042614215320
oct23265261711166
94633880574600
101330010100342
11473066034810
12195921837046
139855b5b7971
14485310a2610
15248e3896b7c
hex135aac79276

1330010100342 has 192 divisors, whose sum is σ = 3727909785600. Its totient is φ = 345263381280.

The previous prime is 1330010100319. The next prime is 1330010100379. The reversal of 1330010100342 is 2430010100331.

1330010100342 is a `hidden beast` number, since 1 + 3 + 300 + 10 + 10 + 0 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74049159 + ... + 74067117.

It is an arithmetic number, because the mean of its divisors is an integer number (19416196800).

Almost surely, 21330010100342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330010100342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863954892800).

1330010100342 is an abundant number, since it is smaller than the sum of its proper divisors (2397899685258).

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

1330010100342 is a wasteful number, since it uses less digits than its factorization.

1330010100342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19973 (or 19961 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1330010100342 its reverse (2430010100331), we get a palindrome (3760020200673).

The spelling of 1330010100342 in words is "one trillion, three hundred thirty billion, ten million, one hundred thousand, three hundred forty-two".