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2413304311220 = 2251119974959221
BaseRepresentation
bin100011000111100100001…
…001010110110110110100
322112201011022211020221022
4203013210021112312310
5304014421400424340
65044353502440312
7336232634120315
oct43074411266664
98481138736838
102413304311220
11850527407110
1232b86a893098
1314675c3215ca
1484b3999460c
1542b978d93b5
hex231e4256db4

2413304311220 has 96 divisors (see below), whose sum is σ = 5820338160000. Its totient is φ = 831278246400.

The previous prime is 2413304311217. The next prime is 2413304311279. The reversal of 2413304311220 is 221134033142.

It is a self number, because there is not a number n which added to its sum of digits gives 2413304311220.

It is a congruent number.

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, 40721210 + ... + 40780430.

It is an arithmetic number, because the mean of its divisors is an integer number (60628522500).

Almost surely, 22413304311220 is an apocalyptic number.

2413304311220 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 2413304311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910169080000).

2413304311220 is an abundant number, since it is smaller than the sum of its proper divisors (3407033848780).

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

2413304311220 is a wasteful number, since it uses less digits than its factorization.

2413304311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69009 (or 69007 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2413304311220 its reverse (221134033142), we get a palindrome (2634438344362).

The spelling of 2413304311220 in words is "two trillion, four hundred thirteen billion, three hundred four million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 9749 19498 38996 48745 59221 97490 107239 118442 185231 194980 214478 236884 296105 370462 428956 536195 592210 651431 740924 926155 1072390 1125199 1184420 1302862 1852310 2037541 2144780 2250398 2605724 3257155 3704620 4075082 4500796 5625995 6514310 8150164 10187705 11251990 12377189 13028620 20375410 22503980 24754378 40750820 49508756 61885945 123771890 247543780 577345529 1154691058 2309382116 2886727645 5773455290 6350800819 10969565051 11546910580 12701601638 21939130102 25403203276 31754004095 43878260204 54847825255 63508008190 109695650510 120665215561 127016016380 219391301020 241330431122 482660862244 603326077805 1206652155610 2413304311220