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2001322032030 = 2325671091304211
BaseRepresentation
bin11101000111111000000…
…101101011101110011110
321002022202120111000222100
4131013320011223232132
5230242201420011110
64131221124425530
7264406424406606
oct35077005535636
97068676430870
102001322032030
11701835127042
12283a528482a6
13116954414649
146cc162a7c06
15370d40c0bc0
hex1d1f816bb9e

2001322032030 has 96 divisors (see below), whose sum is σ = 5285958507648. Its totient is φ = 525236817600.

The previous prime is 2001322032023. The next prime is 2001322032167. The reversal of 2001322032030 is 302302231002.

It is a happy number.

2001322032030 is a `hidden beast` number, since 20 + 0 + 1 + 322 + 0 + 320 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2001322031994 and 2001322032012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6426625 + ... + 6730835.

It is an arithmetic number, because the mean of its divisors is an integer number (55062067788).

Almost surely, 22001322032030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001322032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642979253824).

2001322032030 is an abundant number, since it is smaller than the sum of its proper divisors (3284636475618).

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

2001322032030 is a wasteful number, since it uses less digits than its factorization.

2001322032030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305382 (or 305379 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2001322032030 its reverse (302302231002), we get a palindrome (2303624263032).

The spelling of 2001322032030 in words is "two trillion, one billion, three hundred twenty-two million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1091 1206 2010 2182 3015 3273 5455 6030 6546 9819 10910 16365 19638 32730 49095 73097 98190 146194 219291 304211 365485 438582 608422 657873 730970 912633 1096455 1315746 1521055 1825266 2192910 2737899 3042110 3289365 4563165 5475798 6578730 9126330 13689495 20382137 27378990 40764274 61146411 101910685 122292822 183439233 203821370 305732055 331894201 366878466 611464110 663788402 917196165 995682603 1659471005 1834392330 1991365206 2987047809 3318942010 4978413015 5974095618 9956826030 14935239045 22236911467 29870478090 44473822934 66710734401 111184557335 133421468802 200132203203 222369114670 333553672005 400264406406 667107344010 1000661016015 2001322032030