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2001302032331 = 724156310211733
BaseRepresentation
bin11101000111110110111…
…001011000111111001011
321002022201011211221112202
4131013312321120333023
5230242131310013311
64131215132030415
7264406062411500
oct35076671307713
97068634757482
102001302032331
11701824906a68
12283a4800240b
131169502313c4
146cc1377d4a7
15370d246ee3b
hex1d1f6e58fcb

2001302032331 has 48 divisors (see below), whose sum is σ = 2392782583968. Its totient is φ = 1667990822400.

The previous prime is 2001302032217. The next prime is 2001302032339. The reversal of 2001302032331 is 1332302031002.

It is a de Polignac number, because none of the positive numbers 2k-2001302032331 is a prime.

It is a super-3 number, since 3×20013020323313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2001302032339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154818541 + ... + 1154820273.

It is an arithmetic number, because the mean of its divisors is an integer number (49849637166).

Almost surely, 22001302032331 is an apocalyptic number.

2001302032331 is a deficient number, since it is larger than the sum of its proper divisors (391480551637).

2001302032331 is a wasteful number, since it uses less digits than its factorization.

2001302032331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2001302032331 its reverse (1332302031002), we get a palindrome (3333604063333).

The spelling of 2001302032331 in words is "two trillion, one billion, three hundred two million, thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 41 49 287 563 1021 1733 2009 3941 7147 12131 23083 27587 41861 50029 71053 84917 161581 293027 497371 574823 975679 1131067 1769393 2051189 3481597 4023761 6829753 12385751 23567743 28166327 40002839 47808271 72545113 86700257 164974201 280019873 507815791 996168259 1154819407 1960139111 3554710537 6973177813 40842898619 48812244691 285900290333 2001302032331