Search a number
-
+
2005322011002 = 232473797624271
BaseRepresentation
bin11101001011100110100…
…000011001000101111010
321002201002100011000120200
4131023212200121011322
5230323344413323002
64133122054103030
7264610514565102
oct35134640310572
97081070130520
102005322011002
117034a7aa6492
1228478a34aa76
131171410295cb
146d0b5614202
153726a33eb1c
hex1d2e681917a

2005322011002 has 48 divisors (see below), whose sum is σ = 4438484024832. Its totient is φ = 654045181920.

The previous prime is 2005322010961. The next prime is 2005322011037. The reversal of 2005322011002 is 2001102235002.

2005322011002 is a `hidden beast` number, since 2 + 0 + 0 + 532 + 20 + 110 + 0 + 2 = 666.

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

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, 2900127 + ... + 3524397.

It is an arithmetic number, because the mean of its divisors is an integer number (92468417184).

Almost surely, 22005322011002 is an apocalyptic number.

2005322011002 is an abundant number, since it is smaller than the sum of its proper divisors (2433162013830).

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

2005322011002 is a wasteful number, since it uses less digits than its factorization.

2005322011002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628123 (or 628120 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 2005322011002 its reverse (2001102235002), we get a palindrome (4006424246004).

The spelling of 2005322011002 in words is "two trillion, five billion, three hundred twenty-two million, eleven thousand, two".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 3797 7594 11391 22782 34173 68346 178459 356918 535377 624271 1070754 1248542 1606131 1872813 3212262 3745626 5618439 11236878 29340737 58681474 88022211 176044422 264066633 528133266 2370356987 4740713974 7111070961 14222141922 21333212883 42666425766 111406778389 222813556778 334220335167 668440670334 1002661005501 2005322011002