Search a number
-
+
2122033121010 = 2325112194860709
BaseRepresentation
bin11110111000010011000…
…001111100011011110010
321111212100010200201011200
4132320103001330123302
5234231410434333020
64302503142152030
7306211646626665
oct36702301743362
97455303621150
102122033121010
11748a49414900
122a3320722616
13125150a2150a
14749c7c336dc
153a2eb6d9590
hex1ee1307c6f2

2122033121010 has 72 divisors (see below), whose sum is σ = 6064455016620. Its totient is φ = 514432269120.

The previous prime is 2122033120997. The next prime is 2122033121011. The reversal of 2122033121010 is 101213302212.

2122033121010 is a `hidden beast` number, since 2 + 122 + 0 + 331 + 210 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2101888144521 + 20144976489 = 1449789^2 + 141933^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2122033121011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97419465 + ... + 97441244.

Almost surely, 22122033121010 is an apocalyptic number.

2122033121010 is an abundant number, since it is smaller than the sum of its proper divisors (3942421895610).

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

2122033121010 is a wasteful number, since it uses less digits than its factorization.

2122033121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194860744 (or 194860730 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2122033121010 its reverse (101213302212), we get a palindrome (2223246423222).

The spelling of 2122033121010 in words is "two trillion, one hundred twenty-two billion, thirty-three million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 194860709 389721418 584582127 974303545 1169164254 1753746381 1948607090 2143467799 2922910635 3507492762 4286935598 5845821270 6430403397 8768731905 10717338995 12860806794 17537463810 19291210191 21434677990 23578145789 32152016985 38582420382 47156291578 64304033970 70734437367 96456050955 117890728945 141468874734 192912101910 212203312101 235781457890 353672186835 424406624202 707344373670 1061016560505 2122033121010