Search a number
-
+
1020212221212 = 2232313724707261
BaseRepresentation
bin11101101100010010110…
…00110001010100011100
310121112100100021122111200
432312021120301110130
5113203343312034322
62100402400315500
7133464544540452
oct16661130612434
93545310248450
101020212221212
11363740224948
12145883012b90
1375289919352
14375429b29d2
151b810e528ac
hexed8963151c

1020212221212 has 72 divisors (see below), whose sum is σ = 2734006783872. Its totient is φ = 320206089600.

The previous prime is 1020212221169. The next prime is 1020212221213. The reversal of 1020212221212 is 2121222120201.

It is a happy number.

1020212221212 is a `hidden beast` number, since 1 + 0 + 20 + 212 + 221 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212221213) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12312339 + ... + 12394922.

Almost surely, 21020212221212 is an apocalyptic number.

1020212221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020212221212 is an abundant number, since it is smaller than the sum of its proper divisors (1713794562660).

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

1020212221212 is a wasteful number, since it uses less digits than its factorization.

1020212221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24707339 (or 24707334 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1020212221212 its reverse (2121222120201), we get a palindrome (3141434341413).

The spelling of 1020212221212 in words is "one trillion, twenty billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1332 2294 3441 4588 6882 10323 13764 20646 41292 24707261 49414522 74121783 98829044 148243566 222365349 296487132 444730698 765925091 889461396 914168657 1531850182 1828337314 2297775273 2742505971 3063700364 3656674628 4595550546 5485011942 6893325819 8227517913 9191101092 10970023884 13786651638 16455035826 27573303276 28339228367 32910071652 56678456734 85017685101 113356913468 170035370202 255053055303 340070740404 510106110606 1020212221212