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2303110031220 = 22325173720341901
BaseRepresentation
bin100001100000111100000…
…011100010011101110100
322011011201200211211111200
4201200330003202131310
5300213232131444340
64522011212532500
7325252133155005
oct41407403423564
98134650754450
102303110031220
1180881a630619
12312436a81130
1313924a7c0b2b
147d684a7b1ac
153ed98717330
hex2183c0e2774

2303110031220 has 144 divisors (see below), whose sum is σ = 7596968088528. Its totient is φ = 562412851200.

The previous prime is 2303110031191. The next prime is 2303110031249. The reversal of 2303110031220 is 221300113032.

2303110031220 is a `hidden beast` number, since 2 + 303 + 110 + 0 + 31 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (2303110031191) and next prime (2303110031249).

It can be written as a sum of positive squares in 8 ways, for example, as 154434852324 + 2148675178896 = 392982^2 + 1465836^2 .

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 = 2303110031193 and 2303110031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10057731 + ... + 10284170.

It is an arithmetic number, because the mean of its divisors is an integer number (52756722837).

Almost surely, 22303110031220 is an apocalyptic number.

2303110031220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2303110031220 is an abundant number, since it is smaller than the sum of its proper divisors (5293858057308).

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

2303110031220 is a wasteful number, since it uses less digits than its factorization.

2303110031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20341970 (or 20341965 counting only the distinct ones).

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

Adding to 2303110031220 its reverse (221300113032), we get a palindrome (2524410144252).

The spelling of 2303110031220 in words is "two trillion, three hundred three billion, one hundred ten million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3330 3774 5661 6290 6660 7548 9435 11322 12580 18870 22644 28305 37740 56610 113220 20341901 40683802 61025703 81367604 101709505 122051406 183077109 203419010 244102812 305128515 345812317 366154218 406838020 610257030 691624634 732308436 752650337 915385545 1037436951 1220514060 1383249268 1505300674 1729061585 1830771090 2074873902 2257951011 3010601348 3112310853 3458123170 3661542180 3763251685 4149747804 4515902022 5187184755 6224621706 6773853033 6916246340 7526503370 9031804044 10374369510 11289755055 12449243412 12795055729 13547706066 15053006740 15561554265 20748739020 22579510110 25590111458 27095412132 31123108530 33869265165 38385167187 45159020220 51180222916 62246217060 63975278645 67738530330 76770334374 115155501561 127950557290 135477060660 153540668748 191925835935 230311003122 255901114580 383851671870 460622006244 575777507805 767703343740 1151555015610 2303110031220