Search a number
-
+
2114231000322 = 237895023112603
BaseRepresentation
bin11110110001000001111…
…111001101110100000010
321111010012101121220122210
4132301001333031310002
5234114421114002242
64255133031442550
7305514420662310
oct36610177156402
97433171556583
102114231000322
11745705311081
122a1903826456
131244a94a235c
14744879590b0
1539ee1779d9c
hex1ec41fcdd02

2114231000322 has 64 divisors (see below), whose sum is σ = 4887842365440. Its totient is φ = 597154529664.

The previous prime is 2114231000317. The next prime is 2114231000351. The reversal of 2114231000322 is 2230001324112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18719673 + ... + 18832275.

It is an arithmetic number, because the mean of its divisors is an integer number (76372536960).

Almost surely, 22114231000322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114231000322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443921182720).

2114231000322 is an abundant number, since it is smaller than the sum of its proper divisors (2773611365118).

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

2114231000322 is a wasteful number, since it uses less digits than its factorization.

2114231000322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117727.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2114231000322 its reverse (2230001324112), we get a palindrome (4344232324434).

The spelling of 2114231000322 in words is "two trillion, one hundred fourteen billion, two hundred thirty-one million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 89 178 267 534 623 1246 1869 3738 5023 10046 15069 30138 35161 70322 105483 112603 210966 225206 337809 447047 675618 788221 894094 1341141 1576442 2364663 2682282 3129329 4729326 6258658 9387987 10021667 18775974 20043334 30065001 60130002 70151669 140303338 210455007 420910014 565604869 1131209738 1696814607 3393629214 3959234083 7918468166 11877702249 23755404498 50338833341 100677666682 151016500023 302033000046 352371833387 704743666774 1057115500161 2114231000322