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331002136248119 = 7473892586338099
BaseRepresentation
bin100101101000010110111000…
…0110000000011111100110111
31121101222111100222210102022222
41023100231300300003330313
5321341114333334414434
63131552140541112555
7126502054334553050
oct11320556060037467
91541874328712288
10331002136248119
1196516243782286
123115a52185875b
13112904a157c62b
145ba4835c2d727
1528401d26c672e
hex12d0b70c03f37

331002136248119 has 16 divisors (see below), whose sum is σ = 387329993856000. Its totient is φ = 276965774238624.

The previous prime is 331002136248067. The next prime is 331002136248137. The reversal of 331002136248119 is 911842631200133.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 331002136248119 - 220 = 331002135199543 is a prime.

It is a super-2 number, since 2×3310021362481192 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331002136248119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002136248169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1293041069 + ... + 1293297030.

It is an arithmetic number, because the mean of its divisors is an integer number (24208124616000).

Almost surely, 2331002136248119 is an apocalyptic number.

331002136248119 is a deficient number, since it is larger than the sum of its proper divisors (56327857607881).

331002136248119 is a wasteful number, since it uses less digits than its factorization.

331002136248119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586338542.

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 331002136248119 in words is "three hundred thirty-one trillion, two billion, one hundred thirty-six million, two hundred forty-eight thousand, one hundred nineteen".

Divisors: 1 7 47 329 389 2723 18283 127981 2586338099 18104366693 121557890653 850905234571 1006085520511 7042598643577 47286019464017 331002136248119