Search a number
-
+
22122330131000 = 2353112011120921
BaseRepresentation
bin1010000011110110000011…
…01000010000101000111000
32220022212121020000212221102
411001323001220100220320
510344423013003143000
6115014505210230532
74442166651336131
oct501730150205070
986285536025842
1022122330131000
11705a0336a3940
122593557725448
13c461856c70b8
14566a256c6c88
152856bc68d3d5
hex141ec1a10a38

22122330131000 has 64 divisors (see below), whose sum is σ = 56472275489760. Its totient is φ = 8044483680000.

The previous prime is 22122330130993. The next prime is 22122330131039. The reversal of 22122330131000 is 13103322122.

It is a super-2 number, since 2×221223301310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005549461 + ... + 1005571460.

Almost surely, 222122330131000 is an apocalyptic number.

22122330131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122330131000 is an abundant number, since it is smaller than the sum of its proper divisors (34349945358760).

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

22122330131000 is a wasteful number, since it uses less digits than its factorization.

22122330131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011120953 (or 2011120939 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22122330131000 its reverse (13103322122), we get a palindrome (22135433453122).

The spelling of 22122330131000 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred thirty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 2011120921 4022241842 8044483684 10055604605 16088967368 20111209210 22122330131 40222418420 44244660262 50278023025 80444836840 88489320524 100556046050 110611650655 176978641048 201112092100 221223301310 251390115125 402224184200 442446602620 502780230250 553058253275 884893205240 1005560460500 1106116506550 2011120921000 2212233013100 2765291266375 4424466026200 5530582532750 11061165065500 22122330131000