Search a number
-
+
1220111111112 = 2333789129711903
BaseRepresentation
bin10001110000010100010…
…010100001001111001000
311022122022122022102000120
4101300110102201033020
5124442241421023422
62332302235303240
7154102330220025
oct21602422411710
94278278272016
101220111111112
1143049aa06583
121785708aab20
138b095cc665a
14430a749454c
1521b105a345c
hex11c144a13c8

1220111111112 has 128 divisors (see below), whose sum is σ = 3170625638400. Its totient is φ = 390930997248.

The previous prime is 1220111111099. The next prime is 1220111111113. The reversal of 1220111111112 is 2111111110221.

It is a super-2 number, since 2×12201111111122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1220111111091 and 1220111111100.

It is not an unprimeable number, because it can be changed into a prime (1220111111113) 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, 102498553 + ... + 102510455.

It is an arithmetic number, because the mean of its divisors is an integer number (24770512800).

Almost surely, 21220111111112 is an apocalyptic number.

1220111111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220111111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585312819200).

1220111111112 is an abundant number, since it is smaller than the sum of its proper divisors (1950514527288).

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

1220111111112 is a wasteful number, since it uses less digits than its factorization.

1220111111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335 (or 13331 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1220111111112 its reverse (2111111110221), we get a palindrome (3331222221333).

The spelling of 1220111111112 in words is "one trillion, two hundred twenty billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 148 178 222 267 296 356 444 534 712 888 1068 1297 2136 2594 3293 3891 5188 6586 7782 9879 10376 11903 13172 15564 19758 23806 26344 31128 35709 39516 47612 47989 71418 79032 95224 95978 115433 142836 143967 191956 230866 285672 287934 346299 383912 440411 461732 575868 692598 880822 923464 1059367 1151736 1321233 1385196 1761644 2118734 2642466 2770392 3178101 3523288 4237468 4271021 5284932 6356202 8474936 8542042 10569864 12712404 12813063 15438191 17084084 25424808 25626126 30876382 34168168 39196579 46314573 51252252 61752764 78393158 92629146 102504504 117589737 123505528 156786316 185258292 235179474 313572632 370516584 470358948 571213067 940717896 1142426134 1373998999 1713639201 2284852268 2747997998 3427278402 4121996997 4569704536 5495995996 6854556804 8243993994 10991991992 13709113608 16487987988 32975975976 50837962963 101675925926 152513888889 203351851852 305027777778 406703703704 610055555556 1220111111112