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2001230220312 = 233261625772823
BaseRepresentation
bin11101000111110010100…
…111011100110000011000
321002022112011201111222100
4131013302213130300120
5230242004414022222
64131204044523400
7264404231130141
oct35076247346030
97068464644870
102001230220312
11701798318594
12283a27b50560
1311693b3a9b9b
146cc08008ac8
15370caed74ac
hex1d1f29dcc18

2001230220312 has 96 divisors (see below), whose sum is σ = 5509807037280. Its totient is φ = 656027182080.

The previous prime is 2001230220263. The next prime is 2001230220337. The reversal of 2001230220312 is 2130220321002.

2001230220312 is a `hidden beast` number, since 20 + 0 + 12 + 302 + 20 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27444333 + ... + 27517155.

It is an arithmetic number, because the mean of its divisors is an integer number (57393823305).

Almost surely, 22001230220312 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 2001230220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754903518640).

2001230220312 is an abundant number, since it is smaller than the sum of its proper divisors (3508576816968).

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

2001230220312 is a wasteful number, since it uses less digits than its factorization.

2001230220312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79153 (or 79146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2001230220312 its reverse (2130220321002), we get a palindrome (4131450541314).

The spelling of 2001230220312 in words is "two trillion, one billion, two hundred thirty million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 6257 12514 18771 25028 37542 50056 56313 72823 75084 112626 145646 150168 218469 225252 291292 381677 436938 450504 582584 655407 763354 873876 1145031 1310814 1526708 1747752 2290062 2621628 3053416 3435093 4442203 4580124 5243256 6870186 8884406 9160248 13326609 13740372 17768812 26653218 27480744 35537624 39979827 53306436 79959654 106612872 159919308 319838616 455653511 911307022 1366960533 1822614044 2733921066 3645228088 4100881599 5467842132 8201763198 10935684264 16403526396 27794864171 32807052792 55589728342 83384592513 111179456684 166769185026 222358913368 250153777539 333538370052 500307555078 667076740104 1000615110156 2001230220312