Search a number
-
+
2301033102220 = 22519137139317983
BaseRepresentation
bin100001011111000000010…
…000101011101110001100
322010222100221201220112101
4201133000100223232030
5300200003433232340
64521025141044444
7325146513440266
oct41370020535614
98128327656471
102301033102220
11807954220076
12311b573b6724
13138ca9420168
147d528cb8b36
153ecc620ac9a
hex217c042bb8c

2301033102220 has 96 divisors (see below), whose sum is σ = 5160498739200. Its totient is φ = 859375609344.

The previous prime is 2301033102211. The next prime is 2301033102227. The reversal of 2301033102220 is 222013301032.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2301033102227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7077349 + ... + 7395331.

It is an arithmetic number, because the mean of its divisors is an integer number (53755195200).

Almost surely, 22301033102220 is an apocalyptic number.

2301033102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301033102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580249369600).

2301033102220 is an abundant number, since it is smaller than the sum of its proper divisors (2859465636980).

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

2301033102220 is a wasteful number, since it uses less digits than its factorization.

2301033102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318287 (or 318285 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2301033102220 its reverse (222013301032), we get a palindrome (2523046403252).

The spelling of 2301033102220 in words is "two trillion, three hundred one billion, thirty-three million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 139 190 274 278 380 548 556 685 695 1370 1390 2603 2641 2740 2780 5206 5282 10412 10564 13015 13205 19043 26030 26410 38086 52060 52820 76172 95215 190430 317983 361817 380860 635966 723634 1271932 1447268 1589915 1809085 3179830 3618170 6041677 6359660 7236340 12083354 24166708 30208385 43563671 44199637 60416770 87127342 88399274 120833540 174254684 176798548 217818355 220998185 435636710 441996370 827709749 839793103 871273420 883992740 1655419498 1679586206 3310838996 3359172412 4138548745 4198965515 6055350269 8277097490 8397931030 12110700538 16554194980 16795862060 24221401076 30276751345 60553502690 115051655111 121107005380 230103310222 460206620444 575258275555 1150516551110 2301033102220