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301021302214100 = 22521310318217123407
BaseRepresentation
bin100010001110001101111101…
…1110010011100110111010100
31110110211100121010020121111202
41010130123323302130313110
5303423413111331322400
62544115135511052032
7120256033326164426
oct10434337362346724
91413740533217452
10301021302214100
1187a07465544136
1229917b41071018
13cbc7257aa9c70
14544971a0a0816
1524c03c531c4d5
hex111c6fbc9cdd4

301021302214100 has 144 divisors (see below), whose sum is σ = 710338118450688. Its totient is φ = 110060302556160.

The previous prime is 301021302214079. The next prime is 301021302214123. The reversal of 301021302214100 is 1412203120103.

It is a super-2 number, since 2×3010213022141002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2439194597 + ... + 2439318003.

It is an arithmetic number, because the mean of its divisors is an integer number (4932903600352).

Almost surely, 2301021302214100 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 301021302214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355169059225344).

301021302214100 is an abundant number, since it is smaller than the sum of its proper divisors (409316816236588).

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

301021302214100 is a wasteful number, since it uses less digits than its factorization.

301021302214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141754 (or 141747 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 301021302214100 its reverse (1412203120103), we get a palindrome (302433505334203).

The spelling of 301021302214100 in words is "three hundred one trillion, twenty-one billion, three hundred two million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 103 130 206 260 325 412 515 650 1030 1300 1339 2060 2575 2678 5150 5356 6695 10300 13390 18217 26780 33475 36434 66950 72868 91085 123407 133900 182170 236821 246814 364340 455425 473642 493628 617035 910850 947284 1184105 1234070 1604291 1821700 1876351 2368210 2468140 3085175 3208582 3752702 4736420 5920525 6170350 6417164 7505404 8021455 9381755 11841050 12340700 12710921 16042910 18763510 23682100 24392563 25421842 32085820 37527020 40107275 46908775 48785126 50843684 63554605 80214550 93817550 97570252 121962815 127109210 160429100 165241973 187635100 243925630 254218420 317773025 330483946 487851260 609814075 635546050 660967892 826209865 1219628150 1271092100 1652419730 2248105319 2439256300 3304839460 4131049325 4496210638 8262098650 8992421276 11240526595 16524197300 22481053190 29225369147 44962106380 56202632975 58450738294 112405265950 116901476588 146126845735 224810531900 231554847857 292253691470 463109695714 584507382940 730634228675 926219391428 1157774239285 1461268457350 2315548478570 2922536914700 3010213022141 4631096957140 5788871196425 6020426044282 11577742392850 12040852088564 15051065110705 23155484785700 30102130221410 60204260442820 75255325553525 150510651107050 301021302214100