Search a number
-
+
2131300010322 = 232731113131013
BaseRepresentation
bin11111000000111011011…
…000010100100101010010
321112202020221222110111100
4133000323120110211102
5234404400300312242
64311034455525230
7306660413115000
oct37007330244522
97482227873440
102131300010322
11751974324a0a
122a5088089816
13125c99878782
147522687da70
153a69003454c
hex1f03b614952

2131300010322 has 96 divisors (see below), whose sum is σ = 5385866428800. Its totient is φ = 608868519840.

The previous prime is 2131300010249. The next prime is 2131300010393. The reversal of 2131300010322 is 2230100031312.

2131300010322 is a `hidden beast` number, since 2 + 1 + 31 + 300 + 0 + 10 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2131300010295 and 2131300010304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68707288 + ... + 68738300.

It is an arithmetic number, because the mean of its divisors is an integer number (56102775300).

Almost surely, 22131300010322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131300010322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692933214400).

2131300010322 is an abundant number, since it is smaller than the sum of its proper divisors (3254566418478).

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

2131300010322 is a wasteful number, since it uses less digits than its factorization.

2131300010322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42173 (or 42156 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2131300010322 its reverse (2230100031312), we get a palindrome (4361400041634).

The spelling of 2131300010322 in words is "two trillion, one hundred thirty-one billion, three hundred million, ten thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 11131 22262 31013 33393 62026 66786 77917 93039 100179 155834 186078 200358 217091 233751 279117 434182 467502 545419 558234 651273 701253 1090838 1302546 1402506 1519637 1636257 1953819 3039274 3272514 3817933 3907638 4558911 4908771 7635866 9117822 9817542 10637459 11453799 13676733 21274918 22907598 27353466 31912377 34361397 63824754 68722794 95737131 191474262 345205703 690411406 1035617109 2071234218 2416439921 3106851327 4832879842 6213702654 7249319763 14498639526 16915079447 21747959289 33830158894 43495918578 50745238341 101490476682 118405556129 152235715023 236811112258 304471430046 355216668387 710433336774 1065650005161 2131300010322