Search a number
-
+
1020121120212 = 2234140922072297
BaseRepresentation
bin11101101100000111111…
…01001111110111010100
310121112002222212020102120
432312003331033313110
5113203202001321322
62100345343535540
7133462360311045
oct16660375176724
93545088766376
101020121120212
113636a3861367
121458585ba5b0
1375273aa022c
143753485a8cc
151b807e59a5c
hexed83f4fdd4

1020121120212 has 96 divisors (see below), whose sum is σ = 2446472125440. Its totient is φ = 330641633280.

The previous prime is 1020121120199. The next prime is 1020121120259. The reversal of 1020121120212 is 2120211210201.

It is a junction number, because it is equal to n+sod(n) for n = 1020121120191 and 1020121120200.

It is a congruent number.

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, 444109048 + ... + 444111344.

It is an arithmetic number, because the mean of its divisors is an integer number (25484084640).

Almost surely, 21020121120212 is an apocalyptic number.

1020121120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020121120212 is an abundant number, since it is smaller than the sum of its proper divisors (1426351005228).

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

1020121120212 is a wasteful number, since it uses less digits than its factorization.

1020121120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1020121120212 its reverse (2120211210201), we get a palindrome (3140332330413).

The spelling of 1020121120212 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 409 492 818 1227 1636 2207 2297 2454 4414 4594 4908 6621 6891 8828 9188 13242 13782 16769 26484 27564 33538 50307 67076 90487 94177 100614 180974 188354 201228 271461 282531 361948 376708 542922 565062 902663 939473 1085844 1130124 1805326 1878946 2707989 2818419 3610652 3757892 5069479 5415978 5636838 10138958 10831956 11273676 15208437 20277916 30416874 37009183 38518393 60833748 74018366 77036786 111027549 115555179 148036732 154073572 207848639 222055098 231110358 415697278 444110196 462220716 623545917 831394556 1247091834 2073416911 2494183668 4146833822 6220250733 8293667644 12440501466 24881002932 85010093351 170020186702 255030280053 340040373404 510060560106 1020121120212