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1223131311030 = 235435996716619
BaseRepresentation
bin10001110011001000010…
…011101010101110110110
311022221010010100110102210
4101303020103222232312
5130014433103423110
62333522044514250
7154240222413426
oct21631023525666
94287103313383
101223131311030
114317aa813472
1217907424b986
138b4579312b5
14432b2638486
1521c3a7d7520
hex11cc84eabb6

1223131311030 has 128 divisors (see below), whose sum is σ = 3058037452800. Its totient is φ = 312840630144.

The previous prime is 1223131311023. The next prime is 1223131311091. The reversal of 1223131311030 is 301131313221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1223131310988 and 1223131311006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73590061 + ... + 73606679.

It is an arithmetic number, because the mean of its divisors is an integer number (23890917600).

Almost surely, 21223131311030 is an apocalyptic number.

1223131311030 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 1223131311030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529018726400).

1223131311030 is an abundant number, since it is smaller than the sum of its proper divisors (1834906141770).

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

1223131311030 is a wasteful number, since it uses less digits than its factorization.

1223131311030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17698.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1223131311030 its reverse (301131313221), we get a palindrome (1524262624251).

The spelling of 1223131311030 in words is "one trillion, two hundred twenty-three billion, one hundred thirty-one million, three hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 59 86 118 129 177 215 258 295 354 430 590 645 885 967 1290 1770 1934 2537 2901 4835 5074 5802 7611 9670 12685 14505 15222 16619 25370 29010 33238 38055 41581 49857 57053 76110 83095 83162 99714 114106 124743 166190 171159 207905 249285 249486 285265 342318 415810 498570 570530 623715 714617 855795 980521 1247430 1429234 1711590 1961042 2143851 2453279 2941563 3573085 4287702 4902605 4906558 5883126 7146170 7359837 9805210 10719255 12266395 14707815 14719674 16070573 21438510 24532790 29415630 32141146 36799185 42162403 48211719 73598370 80352865 84324806 96423438 126487209 160705730 210812015 241058595 252974418 421624030 482117190 632436045 691034639 948163807 1264872090 1382069278 1896327614 2073103917 2844491421 3455173195 4146207834 4740819035 5688982842 6910346390 9481638070 10365519585 14222457105 20731039170 28444914210 40771043701 81542087402 122313131103 203855218505 244626262206 407710437010 611565655515 1223131311030