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2162011124 = 2272138231031
BaseRepresentation
bin1000000011011101…
…1010101111110100
312120200012112201002
42000313122233310
513411433323444
6554311222432
7104401535300
oct20067325764
95520175632
102162011124
11a0a442a59
12504077a18
13285bc0330
141671ccd00
15c9c15d4e
hex80ddabf4

2162011124 has 72 divisors (see below), whose sum is σ = 4750155648. Its totient is φ = 853433280.

The previous prime is 2162011099. The next prime is 2162011127. The reversal of 2162011124 is 4211102612.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2162011096 and 2162011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162011127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2096489 + ... + 2097519.

It is an arithmetic number, because the mean of its divisors is an integer number (65974384).

Almost surely, 22162011124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375077824).

2162011124 is an abundant number, since it is smaller than the sum of its proper divisors (2588144524).

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

2162011124 is a wasteful number, since it uses less digits than its factorization.

2162011124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2162011124 is about 46497.4313699155. The cubic root of 2162011124 is about 1293.0618780260.

Adding to 2162011124 its reverse (4211102612), we get a palindrome (6373113736).

The spelling of 2162011124 in words is "two billion, one hundred sixty-two million, eleven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 823 1031 1274 1646 2062 2548 3292 4124 5761 7217 10699 11522 13403 14434 21398 23044 26806 28868 40327 42796 50519 53612 74893 80654 93821 101038 149786 161308 187642 202076 299572 375284 524251 656747 848513 1048502 1313494 1697026 2097004 2626988 3394052 5939591 11030669 11879182 22061338 23758364 41577137 44122676 77214683 83154274 154429366 166308548 308858732 540502781 1081005562 2162011124