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2153122026 = 231113121901
BaseRepresentation
bin1000000001010110…
…0000100011101010
312120001110221011020
42000111200203222
513402144401101
6553352513310
7104233143456
oct20025404352
95501427136
102153122026
11a054214a0
125010ab836
132840ca303
14165d57666
15c905c136
hex805608ea

2153122026 has 48 divisors (see below), whose sum is σ = 4736345184. Its totient is φ = 647140000.

The previous prime is 2153121947. The next prime is 2153122033. The reversal of 2153122026 is 6202213512.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2153121987 and 2153122005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1131676 + ... + 1133576.

It is an arithmetic number, because the mean of its divisors is an integer number (98673858).

Almost surely, 22153122026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153122026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368172592).

2153122026 is an abundant number, since it is smaller than the sum of its proper divisors (2583223158).

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

2153122026 is a wasteful number, since it uses less digits than its factorization.

2153122026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2153122026 is about 46401.7459369796. The cubic root of 2153122026 is about 1291.2873045859.

Adding to 2153122026 its reverse (6202213512), we get a palindrome (8355335538).

The spelling of 2153122026 in words is "two billion, one hundred fifty-three million, one hundred twenty-two thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1441 1901 2882 3802 4323 5703 8646 11406 17161 20911 34322 41822 51483 62733 102966 125466 188771 249031 377542 498062 566313 747093 1132626 1494186 2739341 5478682 8218023 16436046 32623061 65246122 97869183 195738366 358853671 717707342 1076561013 2153122026