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2123221310 = 2571923312239
BaseRepresentation
bin111111010001101…
…1100100100111110
312110222012211002022
41332203130210332
513322021040220
6550404000142
7103421040410
oct17643344476
95428184068
102123221310
1199a559661
124b3090052
1327ab5b592
14161db29b0
15c6602925
hex7e8dc93e

2123221310 has 128 divisors (see below), whose sum is σ = 4954521600. Its totient is φ = 638098560.

The previous prime is 2123221267. The next prime is 2123221351. The reversal of 2123221310 is 131223212.

It is a super-2 number, since 2×21232213102 = 9016137462476232200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 947171 + ... + 949409.

It is an arithmetic number, because the mean of its divisors is an integer number (38707200).

Almost surely, 22123221310 is an apocalyptic number.

2123221310 is an abundant number, since it is smaller than the sum of its proper divisors (2831300290).

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

2123221310 is a wasteful number, since it uses less digits than its factorization.

2123221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2123221310 is about 46078.4256458486. The cubic root of 2123221310 is about 1285.2819883093.

Adding to 2123221310 its reverse (131223212), we get a palindrome (2254444522).

The spelling of 2123221310 in words is "two billion, one hundred twenty-three million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 19 23 31 35 38 46 62 70 95 115 133 155 161 190 217 230 266 310 322 434 437 589 665 713 805 874 1085 1178 1330 1426 1610 2170 2185 2239 2945 3059 3565 4123 4370 4478 4991 5890 6118 7130 8246 9982 11195 13547 15295 15673 20615 22390 24955 27094 30590 31346 41230 42541 49910 51497 67735 69409 78365 85082 94829 102994 135470 138818 156730 189658 212705 257485 297787 347045 360479 425410 474145 485863 514970 595574 694090 720958 948290 971726 978443 1318771 1488935 1596407 1802395 1956886 2429315 2637542 2977870 3192814 3604790 4858630 4892215 6593855 6849101 7982035 9231397 9784430 11174849 13187710 13698202 15964070 18462794 22349698 30331733 34245505 46156985 55874245 60663466 68491010 92313970 111748490 151658665 212322131 303317330 424644262 1061610655 2123221310