Search a number
-
+
22123041001020 = 22325306740073617
BaseRepresentation
bin1010000011110111011000…
…00000000000111000111100
32220022221102202122211021200
411001323230000000320330
510344430441444013040
6115015103522455500
74442223402542361
oct501735400007074
986287382584250
1022123041001020
11705a368998023
122593715804590
13c46269a7104b
14566a91c90468
1528570ecab630
hex141eec000e3c

22123041001020 has 72 divisors (see below), whose sum is σ = 67128439573104. Its totient is φ = 5897553919488.

The previous prime is 22123041000989. The next prime is 22123041001073. The reversal of 22123041001020 is 2010014032122.

It is a happy number.

22123041001020 is a `hidden beast` number, since 2 + 2 + 1 + 230 + 410 + 0 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22123041000984 and 22123041001002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19484749 + ... + 20588868.

Almost surely, 222123041001020 is an apocalyptic number.

22123041001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22123041001020 is an abundant number, since it is smaller than the sum of its proper divisors (45005398572084).

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

22123041001020 is a wasteful number, since it uses less digits than its factorization.

22123041001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40076699 (or 40076694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22123041001020 its reverse (2010014032122), we get a palindrome (24133055033142).

The spelling of 22123041001020 in words is "twenty-two trillion, one hundred twenty-three billion, forty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3067 6134 9201 12268 15335 18402 27603 30670 36804 46005 55206 61340 92010 110412 138015 184020 276030 552060 40073617 80147234 120220851 160294468 200368085 240441702 360662553 400736170 480883404 601104255 721325106 801472340 1202208510 1442650212 1803312765 2404417020 3606625530 7213251060 122905783339 245811566678 368717350017 491623133356 614528916695 737434700034 1106152050051 1229057833390 1474869400068 1843586750085 2212304100102 2458115666780 3687173500170 4424608200204 5530760250255 7374347000340 11061520500510 22123041001020