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2122601260 = 2251343373509
BaseRepresentation
bin111111010000100…
…0101001100101100
312110221001022112111
41332201011030230
513321341220020
6550342413404
7103412545603
oct17641051454
95427038474
102122601260
1199a17581a
124b2a31264
1327a9a22a0
14161c90a3a
15c652dd5a
hex7e84532c

2122601260 has 96 divisors (see below), whose sum is σ = 4934825280. Its totient is φ = 761951232.

The previous prime is 2122601231. The next prime is 2122601281. The reversal of 2122601260 is 621062212.

It is a super-2 number, since 2×21226012602 = 9010872217907175200, which contains 22 as substring.

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, 4169886 + ... + 4170394.

It is an arithmetic number, because the mean of its divisors is an integer number (51404430).

Almost surely, 22122601260 is an apocalyptic number.

2122601260 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 2122601260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467412640).

2122601260 is an abundant number, since it is smaller than the sum of its proper divisors (2812224020).

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

2122601260 is a wasteful number, since it uses less digits than its factorization.

2122601260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2122601260 is about 46071.6969515993. The cubic root of 2122601260 is about 1285.1568613488.

Adding to 2122601260 its reverse (621062212), we get a palindrome (2743663472).

The spelling of 2122601260 in words is "two billion, one hundred twenty-two million, six hundred one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 373 430 509 559 746 860 1018 1118 1492 1865 2036 2236 2545 2795 3730 4849 5090 5590 6617 7460 9698 10180 11180 13234 16039 19396 21887 24245 26468 32078 33085 43774 48490 64156 66170 80195 87548 96980 109435 132340 160390 189857 208507 218870 284531 320780 379714 417014 437740 569062 759428 834028 949285 1042535 1138124 1422655 1898570 2085070 2468141 2845310 3797140 4170140 4936282 5690620 8163851 9872564 12340705 16327702 24681410 32655404 40819255 49362820 81638510 106130063 163277020 212260126 424520252 530650315 1061300630 2122601260