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2001021323232 = 253591468324061
BaseRepresentation
bin11101000111100110001…
…010100100011111100000
321002021222121122110001110
4131013212022210133200
5230241042424320412
64131131223303320
7264366113415561
oct35074612443740
97067877573043
102001021323232
117016a0409078
12283989baab40
13116907029049
146cbc838c168
15370b79c1d3c
hex1d1e62a47e0

2001021323232 has 96 divisors (see below), whose sum is σ = 5342295288960. Its totient is φ = 655629995520.

The previous prime is 2001021323179. The next prime is 2001021323267. The reversal of 2001021323232 is 2323231201002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2001021323199 and 2001021323208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83152482 + ... + 83176542.

It is an arithmetic number, because the mean of its divisors is an integer number (55648909260).

Almost surely, 22001021323232 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 2001021323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671147644480).

2001021323232 is an abundant number, since it is smaller than the sum of its proper divisors (3341273965728).

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

2001021323232 is a wasteful number, since it uses less digits than its factorization.

2001021323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38816 (or 38808 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2001021323232 its reverse (2323231201002), we get a palindrome (4324252524234).

The spelling of 2001021323232 in words is "two trillion, one billion, twenty-one million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 14683 24061 29366 44049 48122 58732 72183 88098 96244 117464 144366 176196 192488 234928 288732 352392 384976 469856 577464 704784 769952 866297 1154928 1409568 1419599 1732594 2309856 2598891 2839198 3465188 4258797 5197782 5678396 6930376 8517594 10395564 11356792 13860752 17035188 20791128 22713584 27721504 34070376 41582256 45427168 68140752 83164512 136281504 353287663 706575326 1059862989 1413150652 2119725978 2826301304 4239451956 5652602608 8478903912 11305205216 16957807824 20843972117 33915615648 41687944234 62531916351 83375888468 125063832702 166751776936 250127665404 333503553872 500255330808 667007107744 1000510661616 2001021323232