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21220312014 = 23311317116231
BaseRepresentation
bin10011110000110101…
…000100001111001110
32000202212202112122000
4103300311010033032
5321424344441024
613425400533130
71350600450606
oct236065041716
960685675560
1021220312014
118aaa349550
1241427811a6
132002461555
1410543c1c06
15842e69cc9
hex4f0d443ce

21220312014 has 128 divisors (see below), whose sum is σ = 53853880320. Its totient is φ = 6134940000.

The previous prime is 21220312007. The next prime is 21220312021. The reversal of 21220312014 is 41021302212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21220312007) and next prime (21220312021).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1299279 + ... + 1315509.

It is an arithmetic number, because the mean of its divisors is an integer number (420733440).

Almost surely, 221220312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26926940160).

21220312014 is an abundant number, since it is smaller than the sum of its proper divisors (32633568306).

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

21220312014 is a wasteful number, since it uses less digits than its factorization.

21220312014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16355 (or 16349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21220312014 its reverse (41021302212), we get a palindrome (62241614226).

The spelling of 21220312014 in words is "twenty-one billion, two hundred twenty million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 71 93 99 142 186 198 213 279 297 341 426 558 594 639 682 781 837 1023 1278 1562 1674 1917 2046 2201 2343 3069 3834 4402 4686 6138 6603 7029 9207 13206 14058 16231 18414 19809 21087 24211 32462 39618 42174 48422 48693 59427 72633 97386 118854 145266 146079 178541 217899 292158 357082 435798 438237 503161 535623 653697 876474 1006322 1071246 1152401 1307394 1509483 1606869 2304802 3018966 3213738 3457203 4528449 4820607 5534771 6914406 9056898 9641214 10371609 11069542 12676411 13585347 16604313 20743218 25352822 27170694 31114827 33208626 35724431 38029233 49812939 62229654 71448862 76058466 99625878 107173293 114087699 149438817 214346586 228175398 298877634 321519879 342263097 392968741 643039758 684526194 785937482 964559637 1178906223 1929119274 2357812446 3536718669 7073437338 10610156007 21220312014