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1122244131030 = 23511101157214463
BaseRepresentation
bin10000010101001010111…
…101100111100011010110
310222021201010022201000120
4100111022331213203112
5121341323444143110
62215315110252410
7144036153502341
oct20251275474326
93867633281016
101122244131030
113a2a39611960
121615b9357106
1381a9a396499
143c461837458
151e2d3754870
hex1054af678d6

1122244131030 has 128 divisors (see below), whose sum is σ = 2986244775936. Its totient is φ = 267648576000.

The previous prime is 1122244131013. The next prime is 1122244131037. The reversal of 1122244131030 is 301314422211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122244131037) 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, 5125579 + ... + 5340041.

It is an arithmetic number, because the mean of its divisors is an integer number (23330037312).

Almost surely, 21122244131030 is an apocalyptic number.

1122244131030 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 1122244131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493122387968).

1122244131030 is an abundant number, since it is smaller than the sum of its proper divisors (1864000644906).

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

1122244131030 is a wasteful number, since it uses less digits than its factorization.

1122244131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214742.

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

Adding to 1122244131030 its reverse (301314422211), we get a palindrome (1423558553241).

The spelling of 1122244131030 in words is "one trillion, one hundred twenty-two billion, two hundred forty-four million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 157 165 202 303 314 330 471 505 606 785 942 1010 1111 1515 1570 1727 2222 2355 3030 3333 3454 4710 5181 5555 6666 8635 10362 11110 15857 16665 17270 25905 31714 33330 47571 51810 79285 95142 158570 174427 214463 237855 348854 428926 475710 523281 643389 872135 1046562 1072315 1286778 1744270 2144630 2359093 2616405 3216945 4718186 5232810 6433890 7077279 11795465 14154558 21660763 23590930 33670691 35386395 43321526 64982289 67341382 70772790 101012073 108303815 129964578 168353455 202024146 216607630 238268393 324911445 336706910 370377601 476536786 505060365 649822890 714805179 740755202 1010120730 1111132803 1191341965 1429610358 1851888005 2222265606 2382683930 3400739791 3574025895 3703776010 5555664015 6801479582 7148051790 10202219373 11111328030 17003698955 20404438746 34007397910 37408137701 51011096865 74816275402 102022193730 112224413103 187040688505 224448826206 374081377010 561122065515 1122244131030