Search a number
-
+
111001211011020 = 223511198851771213
BaseRepresentation
bin11001001111010001111011…
…110000000111111111001100
3112120000121112020200221102010
4121033101323300013333030
5104022120440004323040
61032025130302301220
732244400325634141
oct3117217360077714
9476017466627363
10111001211011020
1132406392902640
1210548940b87810
1349c24a5418265
141d5a6b71423c8
15cc75e243be80
hex64f47bc07fcc

111001211011020 has 96 divisors (see below), whose sum is σ = 356903415348480. Its totient is φ = 25493101090560.

The previous prime is 111001211010973. The next prime is 111001211011021. The reversal of 111001211011020 is 20110112100111.

It is a super-2 number, since 2×1110012110110202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111001211010987 and 111001211011005.

It is not an unprimeable number, because it can be changed into a prime (111001211011021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4425873067 + ... + 4425898146.

It is an arithmetic number, because the mean of its divisors is an integer number (3717743909880).

Almost surely, 2111001211011020 is an apocalyptic number.

111001211011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111001211011020 is an abundant number, since it is smaller than the sum of its proper divisors (245902204337460).

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

111001211011020 is a wasteful number, since it uses less digits than its factorization.

111001211011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8851771255 (or 8851771253 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111001211011020 its reverse (20110112100111), we get a palindrome (131111323111131).

The spelling of 111001211011020 in words is "one hundred eleven trillion, one billion, two hundred eleven million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 8851771213 17703542426 26555313639 35407084852 44258856065 53110627278 88517712130 97369483343 106221254556 132776568195 168183653047 177035424260 194738966686 265553136390 292108450029 336367306094 389477933372 486847416715 504550959141 531106272780 584216900058 672734612188 840918265235 973694833430 1009101918282 1168433800116 1460542250145 1681836530470 1850020183517 1947389666860 2018203836564 2522754795705 2921084500290 3363673060940 3700040367034 5045509591410 5550060550551 5842169000580 7400080734068 9250100917585 10091019182820 11100121101102 18500201835170 22200242202204 27750302752755 37000403670340 55500605505510 111001211011020