Search a number
-
+
11132223442410 = 2357796611015159
BaseRepresentation
bin1010000111111110110000…
…1110010100110111101010
31110102020012210101111112010
42201333230032110313222
52424342243200124120
635402023422500350
72226163605664140
oct241775416246752
943366183344463
1011132223442410
113602170a0a254
1212b95bb1346b6
136299c1b47485
142a6b34061590
1514489481a7e0
hexa1fec394dea

11132223442410 has 128 divisors (see below), whose sum is σ = 30967415193600. Its totient is φ = 2508496024320.

The previous prime is 11132223442393. The next prime is 11132223442421. The reversal of 11132223442410 is 1424432223111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10458411 + ... + 11473569.

It is an arithmetic number, because the mean of its divisors is an integer number (241932931200).

Almost surely, 211132223442410 is an apocalyptic number.

11132223442410 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 11132223442410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15483707596800).

11132223442410 is an abundant number, since it is smaller than the sum of its proper divisors (19835191751190).

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

11132223442410 is a wasteful number, since it uses less digits than its factorization.

11132223442410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015916.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11132223442410 its reverse (1424432223111), we get a palindrome (12556655665521).

The spelling of 11132223442410 in words is "eleven trillion, one hundred thirty-two billion, two hundred twenty-three million, four hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 661 790 1106 1185 1322 1659 1983 2370 2765 3305 3318 3966 4627 5530 6610 8295 9254 9915 13881 16590 19830 23135 27762 46270 52219 69405 104438 138810 156657 261095 313314 365533 522190 731066 783285 1015159 1096599 1566570 1827665 2030318 2193198 3045477 3655330 5075795 5482995 6090954 7106113 10151590 10965990 14212226 15227385 21318339 30454770 35530565 42636678 71061130 80197561 106591695 160395122 213183390 240592683 400987805 481185366 561382927 671020099 801975610 1122765854 1202963415 1342040198 1684148781 2013060297 2405926830 2806914635 3355100495 3368297562 4026120594 4697140693 5613829270 6710200990 8420743905 9394281386 10065301485 14091422079 16841487810 20130602970 23485703465 28182844158 46971406930 53010587821 70457110395 106021175642 140914220790 159031763463 265052939105 318063526926 371074114747 530105878210 742148229494 795158817315 1113222344241 1590317634630 1855370573735 2226444688482 3710741147470 5566111721205 11132223442410