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2123105320 = 235722334649
BaseRepresentation
bin111111010001100…
…0000010000101000
312110221222220222101
41332203000100220
513322003332240
6550401303144
7103420045300
oct17643002050
95427886871
102123105320
1199a48a4a6
124b3034ab4
1327ab1a84b
14161d82600
15c65cd39a
hex7e8c0428

2123105320 has 96 divisors (see below), whose sum is σ = 5581953000. Its totient is φ = 724641792.

The previous prime is 2123105317. The next prime is 2123105351. The reversal of 2123105320 is 235013212.

It can be written as a sum of positive squares in 4 ways, for example, as 1933712676 + 189392644 = 43974^2 + 13762^2 .

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, 454356 + ... + 459004.

Almost surely, 22123105320 is an apocalyptic number.

2123105320 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 2123105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790976500).

2123105320 is an abundant number, since it is smaller than the sum of its proper divisors (3458847680).

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

2123105320 is a wasteful number, since it uses less digits than its factorization.

2123105320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2123105320 is about 46077.1670136088. The cubic root of 2123105320 is about 1285.2585832169.

Adding to 2123105320 its reverse (235013212), we get a palindrome (2358118532).

The spelling of 2123105320 in words is "two billion, one hundred twenty-three million, one hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 233 245 280 392 466 490 932 980 1165 1631 1864 1960 2330 3262 4649 4660 6524 8155 9298 9320 11417 13048 16310 18596 22834 23245 32543 32620 37192 45668 46490 57085 65086 65240 91336 92980 114170 130172 162715 185960 227801 228340 260344 325430 455602 456680 650860 911204 1083217 1139005 1301720 1822408 2166434 2278010 4332868 4556020 5416085 7582519 8665736 9112040 10832170 15165038 21664340 30330076 37912595 43328680 53077633 60660152 75825190 106155266 151650380 212310532 265388165 303300760 424621064 530776330 1061552660 2123105320