Search a number
-
+
1122022100112 = 24353523843301
BaseRepresentation
bin10000010100111101101…
…110101000110010010000
310222021010122112100212020
4100110331232220302100
5121340400124200422
62215241055331440
7144030516330024
oct20247556506220
93867118470766
101122022100112
113a2935251831
12161556b20b80
1381a63397544
143c44015c384
151e2bdee795c
hex1053dba8c90

1122022100112 has 80 divisors (see below), whose sum is σ = 2958897100608. Its totient is φ = 366248563200.

The previous prime is 1122022100107. The next prime is 1122022100113. The reversal of 1122022100112 is 2110012202211.

It is a junction number, because it is equal to n+sod(n) for n = 1122022100091 and 1122022100100.

It is not an unprimeable number, because it can be changed into a prime (1122022100113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908862 + ... + 1752162.

Almost surely, 21122022100112 is an apocalyptic number.

1122022100112 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 1122022100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479448550304).

1122022100112 is an abundant number, since it is smaller than the sum of its proper divisors (1836875000496).

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

1122022100112 is a wasteful number, since it uses less digits than its factorization.

1122022100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843888 (or 843882 counting only the distinct ones).

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

Adding to 1122022100112 its reverse (2110012202211), we get a palindrome (3232034302323).

The spelling of 1122022100112 in words is "one trillion, one hundred twenty-two billion, twenty-two million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 523 636 848 1046 1272 1569 2092 2544 3138 4184 6276 8368 12552 25104 27719 55438 83157 110876 166314 221752 332628 443504 665256 843301 1330512 1686602 2529903 3373204 5059806 6746408 10119612 13492816 20239224 40478448 44694953 89389906 134084859 178779812 268169718 357559624 441046423 536339436 715119248 882092846 1072678872 1323139269 1764185692 2145357744 2646278538 3528371384 5292557076 7056742768 10585114152 21170228304 23375460419 46750920838 70126381257 93501841676 140252762514 187003683352 280505525028 374007366704 561011050056 1122022100112