Search a number
-
+
2142120220212 = 2237227911305289
BaseRepresentation
bin11111001011000000010…
…100001001011000110100
321120210012001010002001210
4133023000110021120310
5240044030234021322
64320024302321420
7310522510305300
oct37130024113064
97523161102053
102142120220212
11756517023835
122a71a7889270
1312700247392b
147597190cd00
153aac4e0c70c
hex1f2c0509634

2142120220212 has 72 divisors (see below), whose sum is σ = 5816414009280. Its totient is φ = 611814591360.

The previous prime is 2142120220193. The next prime is 2142120220213. The reversal of 2142120220212 is 2120220212412.

It is a super-2 number, since 2×21421202202122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142120220213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988464 + ... + 2293752.

Almost surely, 22142120220212 is an apocalyptic number.

It is an amenable number.

2142120220212 is an abundant number, since it is smaller than the sum of its proper divisors (3674293789068).

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

2142120220212 is a wasteful number, since it uses less digits than its factorization.

2142120220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308101 (or 1308092 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2142120220212 its reverse (2120220212412), we get a palindrome (4262340432624).

The spelling of 2142120220212 in words is "two trillion, one hundred forty-two billion, one hundred twenty million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 2791 5582 8373 11164 16746 19537 33492 39074 58611 78148 117222 136759 234444 273518 410277 547036 820554 1305289 1641108 2610578 3915867 5221156 7831734 9137023 15663468 18274046 27411069 36548092 54822138 63959161 109644276 127918322 191877483 255836644 383754966 767509932 3643061599 7286123198 10929184797 14572246396 21858369594 25501431193 43716739188 51002862386 76504293579 102005724772 153008587158 178510018351 306017174316 357020036702 535530055053 714040073404 1071060110106 2142120220212