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3140221211010 = 23251322391198727
BaseRepresentation
bin101101101100100011110…
…001010001000110000010
3102010012110102012211122200
4231230203301101012002
5402422133112223020
610402333034414030
7442605415612332
oct55544361210602
912105412184580
103140221211010
11100084000aa34
12428719891316
1319a177194890
14abdb7a690c2
1556a3eaae590
hex2db23c51182

3140221211010 has 96 divisors (see below), whose sum is σ = 8796553758720. Its totient is φ = 772631650944.

The previous prime is 3140221210999. The next prime is 3140221211011. The reversal of 3140221211010 is 101121220413.

3140221211010 is a `hidden beast` number, since 31 + 402 + 21 + 211 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×31402212110102 (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3140221211011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020267 + ... + 3218993.

It is an arithmetic number, because the mean of its divisors is an integer number (91630768320).

Almost surely, 23140221211010 is an apocalyptic number.

3140221211010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140221211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398276879360).

3140221211010 is an abundant number, since it is smaller than the sum of its proper divisors (5656332547710).

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

3140221211010 is a wasteful number, since it uses less digits than its factorization.

3140221211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200992 (or 1200989 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3140221211010 its reverse (101121220413), we get a palindrome (3241342431423).

The spelling of 3140221211010 in words is "three trillion, one hundred forty billion, two hundred twenty-one million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2239 4478 6717 11195 13434 20151 22390 29107 33585 40302 58214 67170 87321 100755 145535 174642 201510 261963 291070 436605 523926 873210 1198727 1309815 2397454 2619630 3596181 5993635 7192362 10788543 11987270 15583451 17980905 21577086 31166902 35961810 46750353 53942715 77917255 93500706 107885430 140251059 155834510 233751765 280502118 467503530 701255295 1402510590 2683949753 5367899506 8051849259 13419748765 16103698518 24155547777 26839497530 34891346789 40259246295 48311095554 69782693578 80518492590 104674040367 120777738885 174456733945 209348080734 241555477770 314022121101 348913467890 523370201835 628044242202 1046740403670 1570110605505 3140221211010