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1112231221002 = 23511223822329
BaseRepresentation
bin10000001011110110001…
…001011001011100001010
310221022212022021011200000
4100023312021121130022
5121210322143033002
62210541343023430
7143233061250666
oct20136611313412
93838768234600
101112231221002
1139977058a400
1215b683b9ab76
1380b62b08a55
143bb91ab38a6
151dde969661c
hex102f625970a

1112231221002 has 144 divisors (see below), whose sum is σ = 2866366077120. Its totient is φ = 322385469120.

The previous prime is 1112231220943. The next prime is 1112231221009. The reversal of 1112231221002 is 2001221322111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1112231221009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 941374 + ... + 1763702.

It is an arithmetic number, because the mean of its divisors is an integer number (19905319980).

Almost surely, 21112231221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112231221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433183038560).

1112231221002 is an abundant number, since it is smaller than the sum of its proper divisors (1754134856118).

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

1112231221002 is a wasteful number, since it uses less digits than its factorization.

1112231221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822391 (or 822368 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1112231221002 its reverse (2001221322111), we get a palindrome (3113452543113).

The spelling of 1112231221002 in words is "one trillion, one hundred twelve billion, two hundred thirty-one million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 121 138 162 198 207 242 243 253 297 363 414 486 506 594 621 726 759 891 1089 1242 1518 1782 1863 2178 2277 2673 2783 3267 3726 4554 5346 5566 5589 6534 6831 8349 9801 11178 13662 16698 19602 20493 25047 29403 40986 50094 58806 61479 75141 122958 150282 225423 450846 676269 822329 1352538 1644658 2466987 4933974 7400961 9045619 14801922 18091238 18913567 22202883 27136857 37827134 44405766 54273714 56740701 66608649 81410571 99501809 113481402 133217298 162821142 170222103 199003618 199825947 208049237 244231713 298505427 340444206 399651894 416098474 488463426 510666309 597010854 624147711 732695139 895516281 1021332618 1248295422 1465390278 1531998927 1791032562 1872443133 2198085417 2288541607 2686548843 3063997854 3744886266 4396170834 4577083214 4595996781 5373097686 5617329399 6865624821 8059646529 9191993562 11234658798 13731249642 16119293058 16851988197 20596874463 24178939587 33703976394 41193748926 48357879174 50555964591 61790623389 101111929182 123581246778 185371870167 370743740334 556115610501 1112231221002