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1122001022010 = 2351110164152517
BaseRepresentation
bin10000010100111100011…
…110001110110000111010
310222021002011212111010210
4100110330132032300322
5121340324230201020
62215235023451550
7144030142220601
oct20247436166072
93867064774123
101122001022010
113a2924365510
1216154ba56bb6
1381a5bbc74ab
143c43b432a38
151e2bc2323e0
hex1053c78ec3a

1122001022010 has 128 divisors (see below), whose sum is σ = 2971372647168. Its totient is φ = 268881920000.

The previous prime is 1122001021987. The next prime is 1122001022041. The reversal of 1122001022010 is 102201002211.

It is a super-3 number, since 3×11220010220103 (a number of 37 digits) contains 333 as substring.

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, 21338272 + ... + 21390788.

It is an arithmetic number, because the mean of its divisors is an integer number (23213848806).

Almost surely, 21122001022010 is an apocalyptic number.

1122001022010 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 1122001022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485686323584).

1122001022010 is an abundant number, since it is smaller than the sum of its proper divisors (1849371625158).

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

1122001022010 is a wasteful number, since it uses less digits than its factorization.

1122001022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53280.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1122001022010 its reverse (102201002211), we get a palindrome (1224202024221).

The spelling of 1122001022010 in words is "one trillion, one hundred twenty-two billion, one million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 641 1010 1111 1282 1515 1923 2222 3030 3205 3333 3846 5555 6410 6666 7051 9615 11110 14102 16665 19230 21153 33330 35255 42306 52517 64741 70510 105034 105765 129482 157551 194223 211530 262585 315102 323705 388446 525170 577687 647410 712151 787755 971115 1155374 1424302 1575510 1733061 1942230 2136453 2888435 3466122 3560755 4272906 5304217 5776870 7121510 8665305 10608434 10682265 15912651 17330610 21364530 26521085 31825302 33663397 53042170 58346387 67326794 79563255 100990191 116692774 159126510 168316985 175039161 201980382 291731935 336633970 350078322 370297367 504950955 583463870 740594734 875195805 1009901910 1110892101 1750391610 1851486835 2221784202 3400003097 3702973670 5554460505 6800006194 10200009291 11108921010 17000015485 20400018582 34000030970 37400034067 51000046455 74800068134 102000092910 112200102201 187000170335 224400204402 374000340670 561000511005 1122001022010