Search a number
-
+
112000112120022 = 23721585732402381
BaseRepresentation
bin11001011101110100001110…
…111001011101000011010110
3112200120002212101100220211120
4121131310032321131003112
5104140002212200320042
61034112050255544410
732406512121156300
oct3135641671350326
9480502771326746
10112000112120022
1132760a87500455
121068a456b2b106
134a65746b30b29
141d92b97658970
15ce35a748adec
hex65dd0ee5d0d6

112000112120022 has 48 divisors (see below), whose sum is σ = 260573441115312. Its totient is φ = 31999816914240.

The previous prime is 112000112119999. The next prime is 112000112120023. The reversal of 112000112120022 is 220021211000211.

112000112120022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1120001121200222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112000112119983 and 112000112120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000112120023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45419272 + ... + 47821652.

It is an arithmetic number, because the mean of its divisors is an integer number (5428613356569).

Almost surely, 2112000112120022 is an apocalyptic number.

112000112120022 is an abundant number, since it is smaller than the sum of its proper divisors (148573328995290).

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

112000112120022 is a wasteful number, since it uses less digits than its factorization.

112000112120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560973 (or 2560966 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112000112120022 its reverse (220021211000211), we get a palindrome (332021323120233).

The spelling of 112000112120022 in words is "one hundred twelve trillion, one hundred twelve million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 158573 317146 475719 951438 1110011 2220022 2402381 3330033 4804762 6660066 7207143 7770077 14414286 15540154 16816667 23310231 33633334 46620462 50450001 100900002 117716669 235433338 353150007 706300014 380952762313 761905524626 1142858286939 2285716573878 2666669336191 5333338672382 8000008008573 16000016017146 18666685353337 37333370706674 56000056060011 112000112120022