Search a number
-
+
3101321303322 = 2311107593787941
BaseRepresentation
bin101101001000010101001…
…001111001010100011010
3101222111001102011210002220
4231020111021321110122
5401303001223201242
610332421034404510
7440030430060624
oct55102511712432
911874042153086
103101321303322
11a9629902a5a0
12421082290736
131965b7cc6018
14aa167621c14
1555a1497abec
hex2d21527951a

3101321303322 has 128 divisors (see below), whose sum is σ = 6857247310848. Its totient is φ = 927273753600.

The previous prime is 3101321303309. The next prime is 3101321303347. The reversal of 3101321303322 is 2233031231013.

It is a junction number, because it is equal to n+sod(n) for n = 3101321303292 and 3101321303301.

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 63 ways as a sum of consecutive naturals, for example, 3295771372 + ... + 3295772312.

It is an arithmetic number, because the mean of its divisors is an integer number (53572244616).

Almost surely, 23101321303322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3101321303322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428623655424).

3101321303322 is an abundant number, since it is smaller than the sum of its proper divisors (3755926007526).

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

3101321303322 is a wasteful number, since it uses less digits than its factorization.

3101321303322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3101321303322 its reverse (2233031231013), we get a palindrome (5334352534335).

The spelling of 3101321303322 in words is "three trillion, one hundred one billion, three hundred twenty-one million, three hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 593 642 787 941 1177 1186 1574 1779 1882 2354 2361 2823 3531 3558 4722 5646 6523 7062 8657 10351 13046 17314 19569 20702 25971 31053 39138 51942 62106 63451 84209 100687 126902 168418 190353 201374 252627 302061 380706 466691 505254 558013 604122 697961 740567 926299 933382 1107557 1116026 1395922 1400073 1481134 1674039 1852598 2093883 2215114 2221701 2778897 2800146 3322671 3348078 4187766 4443402 5133601 5557794 6138143 6645342 8146237 10267202 12276286 15400803 16292474 18414429 24438711 30801606 36828858 48877422 49935937 59707391 79240669 99871874 119414782 149807811 158481338 179122173 237722007 299615622 358244346 439156231 475444014 549295307 656781301 871647359 878312462 1098590614 1313562602 1317468693 1647885921 1743294718 1970343903 2614942077 2634937386 3295771842 3940687806 4830718541 5229884154 9661437082 14492155623 28984311246 46989716717 93979433434 140969150151 281938300302 516886883887 1033773767774 1550660651661 3101321303322