Search a number
-
+
1222323311130 = 2353122737915277
BaseRepresentation
bin10001110010011000001…
…001011001001000011010
311022212000210221210221120
4101302120021121020122
5130011304231424010
62333305542350110
7154211211500535
oct21623011311032
94285023853846
101222323311130
11431425709159
12178a8972b336
138b35940a04c
14432371c9a1c
1521bde8cee70
hex11c9825921a

1222323311130 has 128 divisors (see below), whose sum is σ = 3049772359680. Its totient is φ = 313199550720.

The previous prime is 1222323311107. The next prime is 1222323311137. The reversal of 1222323311130 is 311133232221.

It is a self number, because there is not a number n which added to its sum of digits gives 1222323311130.

It is not an unprimeable number, because it can be changed into a prime (1222323311137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80003052 + ... + 80018328.

It is an arithmetic number, because the mean of its divisors is an integer number (23826346560).

Almost surely, 21222323311130 is an apocalyptic number.

1222323311130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222323311130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524886179840).

1222323311130 is an abundant number, since it is smaller than the sum of its proper divisors (1827449048550).

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

1222323311130 is a wasteful number, since it uses less digits than its factorization.

1222323311130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15924.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1222323311130 its reverse (311133232221), we get a palindrome (1533456543351).

The spelling of 1222323311130 in words is "one trillion, two hundred twenty-two billion, three hundred twenty-three million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 227 310 379 454 465 681 758 930 1135 1137 1362 1895 2270 2274 3405 3790 5685 6810 7037 11370 11749 14074 15277 21111 23498 30554 35185 35247 42222 45831 58745 70370 70494 76385 86033 91662 105555 117490 152770 172066 176235 211110 229155 258099 352470 430165 458310 473587 516198 860330 947174 1290495 1420761 2367935 2580990 2667023 2841522 3467879 4735870 5334046 5789983 6935758 7103805 8001069 10403637 11579966 13335115 14207610 16002138 17339395 17369949 20807274 26670230 28949915 34678790 34739898 40005345 52018185 57899830 80010690 86849745 104036370 107504249 173699490 179489473 215008498 322512747 358978946 537521245 538468419 645025494 897447365 1075042490 1076936838 1314326141 1612563735 1794894730 2628652282 2692342095 3225127470 3942978423 5384684190 6571630705 7885956846 13143261410 19714892115 39429784230 40744110371 81488220742 122232331113 203720551855 244464662226 407441103710 611161655565 1222323311130