Search a number
-
+
302012020212 = 223753367184843
BaseRepresentation
bin1000110010100010101…
…00011011010111110100
31001212112201220020121020
410121101110123113310
514422010034121322
6350424205421140
730551065546440
oct4312124332764
91055481806536
10302012020212
1110709aa03921
124a64726a7b0
1322630924206
1410890449820
157cc914805c
hex465151b5f4

302012020212 has 96 divisors (see below), whose sum is σ = 822801272832. Its totient is φ = 84429910656.

The previous prime is 302012020169. The next prime is 302012020249. The reversal of 302012020212 is 212020210203.

It is a happy number.

It is a super-2 number, since 2×3020120202122 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 302012020191 and 302012020200.

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 31 ways as a sum of consecutive naturals, for example, 1541463 + ... + 1726305.

It is an arithmetic number, because the mean of its divisors is an integer number (8570846592).

Almost surely, 2302012020212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302012020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411400636416).

302012020212 is an abundant number, since it is smaller than the sum of its proper divisors (520789252620).

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

302012020212 is a wasteful number, since it uses less digits than its factorization.

302012020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185277 (or 185275 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 302012020212 its reverse (212020210203), we get a palindrome (514032230415).

The spelling of 302012020212 in words is "three hundred two billion, twelve million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 367 371 636 734 742 1101 1113 1468 1484 2202 2226 2569 4404 4452 5138 7707 10276 15414 19451 30828 38902 58353 77804 116706 136157 184843 233412 272314 369686 408471 544628 554529 739372 816942 1109058 1293901 1633884 2218116 2587802 3881703 5175604 7763406 9796679 15526812 19593358 29390037 39186716 58780074 67837381 68576753 117560148 135674762 137153506 203512143 205730259 271349524 274307012 407024286 411460518 474861667 814048572 822921036 949723334 1424585001 1899446668 2849170002 3595381193 5698340004 7190762386 10786143579 14381524772 21572287158 25167668351 43144574316 50335336702 75503005053 100670673404 151006010106 302012020212