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2105511320 = 2351123114033
BaseRepresentation
bin111110101111111…
…1000110110011000
312102201220001112202
41331133320312120
513303002330240
6544532225332
7103114356653
oct17537706630
95381801482
102105511320
11990562900
124a916b248
1327729a5b3
1415d8c289a
15c4ca5315
hex7d7f8d98

2105511320 has 96 divisors (see below), whose sum is σ = 5375583360. Its totient is φ = 740889600.

The previous prime is 2105511299. The next prime is 2105511323. The reversal of 2105511320 is 231155012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2105511292 and 2105511301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105511323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143024 + ... + 157056.

It is an arithmetic number, because the mean of its divisors is an integer number (55995660).

Almost surely, 22105511320 is an apocalyptic number.

2105511320 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 2105511320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687791680).

2105511320 is an abundant number, since it is smaller than the sum of its proper divisors (3270072040).

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

2105511320 is a wasteful number, since it uses less digits than its factorization.

2105511320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14097 (or 14082 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 2105511320 is about 45885.8509782700. The cubic root of 2105511320 is about 1281.6984533050.

Adding to 2105511320 its reverse (231155012), we get a palindrome (2336666332).

The spelling of 2105511320 in words is "two billion, one hundred five million, five hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4840 6820 7502 13640 14033 15004 18755 28066 30008 37510 56132 70165 75020 112264 140330 150040 154363 280660 308726 435023 561320 617452 771815 870046 1234904 1543630 1697993 1740092 2175115 3087260 3395986 3480184 4350230 4785253 6174520 6791972 8489965 8700460 9570506 13583944 16979930 17400920 19141012 23926265 33959860 38282024 47852530 52637783 67919720 95705060 105275566 191410120 210551132 263188915 421102264 526377830 1052755660 2105511320