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2133220122 = 2321119355823
BaseRepresentation
bin111111100100110…
…0101101100011010
312111200000210212200
41333021211230122
513332101020442
6551402151030
7103602033435
oct17711455432
95450023780
102133220122
119a5168940
124b64b2476
1327cc4c737
1416345681c
15c742a34c
hex7f265b1a

2133220122 has 48 divisors (see below), whose sum is σ = 5068372608. Its totient is φ = 643069440.

The previous prime is 2133220109. The next prime is 2133220127. The reversal of 2133220122 is 2210223312.

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 = 2133220095 and 2133220104.

It is not an unprimeable number, because it can be changed into a prime (2133220127) 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, 10303 + ... + 66125.

It is an arithmetic number, because the mean of its divisors is an integer number (105591096).

Almost surely, 22133220122 is an apocalyptic number.

2133220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534186304).

2133220122 is an abundant number, since it is smaller than the sum of its proper divisors (2935152486).

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

2133220122 is a wasteful number, since it uses less digits than its factorization.

2133220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56035 (or 56032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2133220122 is about 46186.7959702770. The cubic root of 2133220122 is about 1287.2964073337.

Adding to 2133220122 its reverse (2210223312), we get a palindrome (4343443434).

The spelling of 2133220122 in words is "two billion, one hundred thirty-three million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 193 198 386 579 1158 1737 2123 3474 4246 6369 12738 19107 38214 55823 111646 167469 334938 502407 614053 1004814 1228106 1842159 3684318 5526477 10773839 11052954 21547678 32321517 64643034 96964551 118512229 193929102 237024458 355536687 711073374 1066610061 2133220122