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2001232103148 = 223355201335681
BaseRepresentation
bin11101000111110010101…
…110101000011011101100
321002022112022021011202000
4131013302232220123230
5230242010404300043
64131204153132300
7264404253131355
oct35076256503354
97068468234660
102001232103148
11701799394153
12283a286ba090
1311693b8b8ba5
146cc08378d2c
15370cb25a2d3
hex1d1f2ba86ec

2001232103148 has 48 divisors (see below), whose sum is σ = 5188488973920. Its totient is φ = 667063296000.

The previous prime is 2001232103147. The next prime is 2001232103219. The reversal of 2001232103148 is 8413012321002.

2001232103148 is a `hidden beast` number, since 20 + 0 + 1 + 2 + 321 + 0 + 314 + 8 = 666.

It is a super-3 number, since 3×20012321031483 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2001232103147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5793868 + ... + 6129548.

It is an arithmetic number, because the mean of its divisors is an integer number (108093520290).

Almost surely, 22001232103148 is an apocalyptic number.

It is an amenable number.

2001232103148 is an abundant number, since it is smaller than the sum of its proper divisors (3187256870772).

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

2001232103148 is a wasteful number, since it uses less digits than its factorization.

2001232103148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390895 (or 390887 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 2001232103148 in words is "two trillion, one billion, two hundred thirty-two million, one hundred three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 55201 110402 165603 220804 331206 335681 496809 662412 671362 993618 1007043 1342724 1490427 1987236 2014086 2980854 3021129 4028172 5961708 6042258 9063387 12084516 18126774 36253548 18529926881 37059853762 55589780643 74119707524 111179561286 166769341929 222359122572 333538683858 500308025787 667077367716 1000616051574 2001232103148