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2123232102 = 234171940577
BaseRepresentation
bin111111010001101…
…1111001101100110
312110222020100220000
41332203133031212
513322021411402
6550404122130
7103421114025
oct17643371546
95428210800
102123232102
1199a566782
124b3096346
1327ab63474
14161db68bc
15c6605c1c
hex7e8df366

2123232102 has 80 divisors (see below), whose sum is σ = 5302733040. Its totient is φ = 631037952.

The previous prime is 2123232091. The next prime is 2123232131. The reversal of 2123232102 is 2012323212.

It is a super-2 number, since 2×21232321022 = 9016229117926676808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32038 + ... + 72614.

It is an arithmetic number, because the mean of its divisors is an integer number (66284163).

Almost surely, 22123232102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123232102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651366520).

2123232102 is an abundant number, since it is smaller than the sum of its proper divisors (3179500938).

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

2123232102 is a wasteful number, since it uses less digits than its factorization.

2123232102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40627 (or 40618 counting only the distinct ones).

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

The square root of 2123232102 is about 46078.5427503952. The cubic root of 2123232102 is about 1285.2841659343.

Adding to 2123232102 its reverse (2012323212), we get a palindrome (4135555314).

It can be divided in two parts, 212323210 and 2, that added together give a palindrome (212323212).

The spelling of 2123232102 in words is "two billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 918 969 1026 1377 1539 1938 2754 2907 3078 5814 8721 17442 26163 40577 52326 81154 121731 243462 365193 689809 730386 770963 1095579 1379618 1541926 2069427 2191158 2312889 3286737 4138854 4625778 6208281 6573474 6938667 12416562 13106371 13877334 18624843 20816001 26212742 37249686 39319113 41632002 55874529 62448003 78638226 111749058 117957339 124896006 235914678 353872017 707744034 1061616051 2123232102