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2102311320 = 2335236112487
BaseRepresentation
bin111110101001110…
…1011100110011000
312102111212110222020
41331103223212120
513301142430240
6544335454440
7103045231344
oct17523534630
95374773866
102102311320
1198977767a
124a8087420
13276719bc5
1415d2cc624
15c48720d0
hex7d4eb998

2102311320 has 128 divisors (see below), whose sum is σ = 6689571840. Its totient is φ = 527408640.

The previous prime is 2102311319. The next prime is 2102311331. The reversal of 2102311320 is 231132012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2102311320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162117 + ... + 174603.

It is an arithmetic number, because the mean of its divisors is an integer number (52262280).

Almost surely, 22102311320 is an apocalyptic number.

2102311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344785920).

2102311320 is an abundant number, since it is smaller than the sum of its proper divisors (4587260520).

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

2102311320 is a wasteful number, since it uses less digits than its factorization.

2102311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12585 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2102311320 is about 45850.9685830081. The cubic root of 2102311320 is about 1281.0488067349.

Adding to 2102311320 its reverse (231132012), we get a palindrome (2333443332).

The spelling of 2102311320 in words is "two billion, one hundred two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 61 69 92 115 120 122 138 183 184 230 244 276 305 345 366 460 488 552 610 690 732 915 920 1220 1380 1403 1464 1830 2440 2760 2806 3660 4209 5612 7015 7320 8418 11224 12487 14030 16836 21045 24974 28060 33672 37461 42090 49948 56120 62435 74922 84180 99896 124870 149844 168360 187305 249740 287201 299688 374610 499480 574402 749220 761707 861603 1148804 1436005 1498440 1523414 1723206 2285121 2297608 2872010 3046828 3446412 3808535 4308015 4570242 5744020 6093656 6892824 7617070 8616030 9140484 11425605 11488040 15234140 17232060 17519261 18280968 22851210 30468280 34464120 35038522 45702420 52557783 70077044 87596305 91404840 105115566 140154088 175192610 210231132 262788915 350385220 420462264 525577830 700770440 1051155660 2102311320