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2420431111230 = 2351143967917623
BaseRepresentation
bin100011001110001100111…
…011111100010000111110
322120101120000011012122020
4203032030323330100332
5304124020331024410
65051533010501010
7336604352662026
oct43161473742076
98511500135566
102420431111230
11853554297480
12331119594766
13147326992632
14852142baa86
1542e633eda70
hex2338cefc43e

2420431111230 has 128 divisors (see below), whose sum is σ = 6485541765120. Its totient is φ = 573033605760.

The previous prime is 2420431111193. The next prime is 2420431111247. The reversal of 2420431111230 is 321111340242.

It is a super-2 number, since 2×24204311112302 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2420431111230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137336199 + ... + 137353821.

It is an arithmetic number, because the mean of its divisors is an integer number (50668295040).

Almost surely, 22420431111230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420431111230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242770882560).

2420431111230 is an abundant number, since it is smaller than the sum of its proper divisors (4065110653890).

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

2420431111230 is a wasteful number, since it uses less digits than its factorization.

2420431111230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27366.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2420431111230 its reverse (321111340242), we get a palindrome (2741542451472).

The spelling of 2420431111230 in words is "two trillion, four hundred twenty billion, four hundred thirty-one million, one hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1290 1419 2365 2838 4730 7095 9679 14190 17623 19358 29037 35246 48395 52869 58074 88115 96790 105738 106469 145185 176230 193853 212938 264345 290370 319407 387706 416197 528690 532345 581559 638814 757789 832394 969265 1064690 1163118 1248591 1515578 1597035 1938530 2080985 2273367 2497182 2907795 3194070 3788945 4161970 4546734 4578167 5815590 6242955 7577890 8335679 9156334 11366835 12485910 13734501 16671358 22733670 22890835 25007037 27469002 41678395 45781670 50014074 68672505 83356790 125035185 137345010 170573017 250070370 341146034 511719051 852865085 1023438102 1705730170 1876303187 2558595255 3752606374 5117190510 5628909561 7334639731 9381515935 11257819122 14669279462 18763031870 22003919193 28144547805 36673198655 44007838386 56289095610 73346397310 80681037041 110019595965 161362074082 220039191930 242043111123 403405185205 484086222246 806810370410 1210215555615 2420431111230