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2001232011328 = 261115127169467
BaseRepresentation
bin11101000111110010101…
…110010010000001000000
321002022112022002111210021
4131013302232102001000
5230242010343330303
64131204151143224
7264404252266564
oct35076256220100
97068468074707
102001232011328
11701799331170
12283a28674b14
1311693b886164
146cc083536a4
15370cb23cebd
hex1d1f2b92040

2001232011328 has 112 divisors (see below), whose sum is σ = 4377057527808. Its totient is φ = 900279360000.

The previous prime is 2001232011307. The next prime is 2001232011329. The reversal of 2001232011328 is 8231102321002.

It is not an unprimeable number, because it can be changed into a prime (2001232011329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28773651 + ... + 28843117.

It is an arithmetic number, because the mean of its divisors is an integer number (39080870784).

Almost surely, 22001232011328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001232011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188528763904).

2001232011328 is an abundant number, since it is smaller than the sum of its proper divisors (2375825516480).

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

2001232011328 is a wasteful number, since it uses less digits than its factorization.

2001232011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69912 (or 69902 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 2001232011328 in words is "two trillion, one billion, two hundred thirty-two million, eleven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 151 176 271 302 352 542 604 704 1084 1208 1661 2168 2416 2981 3322 4336 4832 5962 6644 8672 9664 11924 13288 17344 23848 26576 40921 47696 53152 69467 81842 95392 106304 138934 163684 190784 277868 327368 450131 555736 654736 764137 900262 1111472 1309472 1528274 1800524 2222944 2618944 3056548 3601048 4445888 6113096 7202096 10489517 12226192 14404192 18825557 20979034 24452384 28808384 37651114 41958068 48904768 75302228 83916136 115384687 150604456 167832272 207081127 230769374 301208912 335664544 414162254 461538748 602417824 671329088 828324508 923077496 1204835648 1656649016 1846154992 2842659107 3313298032 3692309984 5685318214 6626596064 7384619968 11370636428 13253192128 22741272856 31269250177 45482545712 62538500354 90965091424 125077000708 181930182848 250154001416 500308002832 1000616005664 2001232011328