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2100210320 = 245132315011
BaseRepresentation
bin111110100101110…
…1010101010010000
312102100220201221102
41331023222222100
513300123212240
6544222443532
7103021331105
oct17513525220
95370821842
102100210320
1198857210a
124a74335a8
13276162800
1415cd02aac
15c45a9815
hex7d2eaa90

2100210320 has 120 divisors (see below), whose sum is σ = 5459150592. Its totient is φ = 750297600.

The previous prime is 2100210319. The next prime is 2100210361. The reversal of 2100210320 is 230120012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416615 + ... + 421625.

Almost surely, 22100210320 is an apocalyptic number.

2100210320 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 2100210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729575296).

2100210320 is an abundant number, since it is smaller than the sum of its proper divisors (3358940272).

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

2100210320 is a wasteful number, since it uses less digits than its factorization.

2100210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2100210320 is about 45828.0516714381. The cubic root of 2100210320 is about 1280.6219145778.

Adding to 2100210320 its reverse (230120012), we get a palindrome (2330330332).

The spelling of 2100210320 in words is "two billion, one hundred million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 169 208 248 260 310 338 403 496 520 620 676 806 845 1040 1240 1352 1612 1690 2015 2480 2704 3224 3380 4030 5011 5239 6448 6760 8060 10022 10478 13520 16120 20044 20956 25055 26195 32240 40088 41912 50110 52390 65143 80176 83824 100220 104780 130286 155341 200440 209560 260572 310682 325715 400880 419120 521144 621364 651430 776705 846859 1042288 1242728 1302860 1553410 1693718 2019433 2485456 2605720 3106820 3387436 4038866 4234295 5211440 6213640 6774872 8077732 8468590 10097165 12427280 13549744 16155464 16937180 20194330 26252629 32310928 33874360 40388660 52505258 67748720 80777320 105010516 131263145 161554640 210021032 262526290 420042064 525052580 1050105160 2100210320