Search a number
-
+
22101110002120 = 23517911872600461
BaseRepresentation
bin1010000011001110100001…
…10011111001000111001000
32220020211211100121122112011
411001213100303321013020
510344101033130031440
6115001035413225304
74440516052250152
oct501472063710710
986224740548464
1022101110002120
11705103446aa46
12258b415032234
13c441832cb016
145659b1351ad2
15284d7975c9ea
hex1419d0cf91c8

22101110002120 has 64 divisors (see below), whose sum is σ = 50047451467200. Its totient is φ = 8783646554880.

The previous prime is 22101110002093. The next prime is 22101110002219. The reversal of 22101110002120 is 2120001110122.

It is a self number, because there is not a number n which added to its sum of digits gives 22101110002120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7198690 + ... + 9799150.

It is an arithmetic number, because the mean of its divisors is an integer number (781991429175).

Almost surely, 222101110002120 is an apocalyptic number.

22101110002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101110002120 is an abundant number, since it is smaller than the sum of its proper divisors (27946341465080).

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

22101110002120 is a wasteful number, since it uses less digits than its factorization.

22101110002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601838 (or 2601834 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22101110002120 its reverse (2120001110122), we get a palindrome (24221111112242).

It can be divided in two parts, 22101110002 and 120, that added together give a palindrome (22101110122).

The spelling of 22101110002120 in words is "twenty-two trillion, one hundred one billion, one hundred ten million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 179 358 716 895 1187 1432 1790 2374 3580 4748 5935 7160 9496 11870 23740 47480 212473 424946 849892 1062365 1699784 2124730 2600461 4249460 5200922 8498920 10401844 13002305 20803688 26004610 52009220 104018440 465482519 930965038 1861930076 2327412595 3086747207 3723860152 4654825190 6173494414 9309650380 12346988828 15433736035 18619300760 24693977656 30867472070 61734944140 123469888280 552527750053 1105055500106 2210111000212 2762638750265 4420222000424 5525277500530 11050555001060 22101110002120