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2102343312 = 243195414261
BaseRepresentation
bin111110101001111…
…0011011010010000
312102111221002212010
41331103303122100
513301144441222
6544340302520
7103045423536
oct17523633220
95374832763
102102343312
11989799713
124a80a1a40
1327672b634
1415d2da156
15c487b80c
hex7d4f3690

2102343312 has 80 divisors (see below), whose sum is σ = 5728809920. Its totient is φ = 662515200.

The previous prime is 2102343311. The next prime is 2102343317. The reversal of 2102343312 is 2133432012.

It is a super-2 number, since 2×21023433122 = 8839694803022258688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102343311) 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 15 ways as a sum of consecutive naturals, for example, 491262 + ... + 495522.

It is an arithmetic number, because the mean of its divisors is an integer number (71610124).

Almost surely, 22102343312 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 2102343312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864404960).

2102343312 is an abundant number, since it is smaller than the sum of its proper divisors (3626466608).

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

2102343312 is a wasteful number, since it uses less digits than its factorization.

2102343312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2102343312 is about 45851.3174510831. The cubic root of 2102343312 is about 1281.0553048377.

Adding to 2102343312 its reverse (2133432012), we get a palindrome (4235775324).

The spelling of 2102343312 in words is "two billion, one hundred two million, three hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 541 912 1082 1623 2164 3246 4261 4328 6492 8522 8656 10279 12783 12984 17044 20558 25566 25968 30837 34088 41116 51132 61674 68176 80959 82232 102264 123348 161918 164464 204528 242877 246696 323836 485754 493392 647672 971508 1295344 1943016 2305201 3886032 4610402 6915603 9220804 13831206 18441608 27662412 36883216 43798819 55324824 87597638 110649648 131396457 175195276 262792914 350390552 525585828 700781104 1051171656 2102343312