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1020320320020 = 223544355768917
BaseRepresentation
bin11101101100011111101…
…01001000101000010100
310121112121212200122012020
432312033311020220110
5113204104000220040
62100421221253140
7133500326423361
oct16661765105024
93545555618166
101020320320020
11363796248101
121458b32641b0
13752a6137241
14375530b1468
151b81a6a6cd0
hexed8fd48a14

1020320320020 has 96 divisors (see below), whose sum is σ = 2868528152448. Its totient is φ = 270979917312.

The previous prime is 1020320319947. The next prime is 1020320320027. The reversal of 1020320320020 is 200230230201.

1020320320020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020320320027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14770602 + ... + 14839518.

It is an arithmetic number, because the mean of its divisors is an integer number (29880501588).

Almost surely, 21020320320020 is an apocalyptic number.

1020320320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020320320020 is an abundant number, since it is smaller than the sum of its proper divisors (1848207832428).

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

1020320320020 is a wasteful number, since it uses less digits than its factorization.

1020320320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69929 (or 69927 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1020320320020 its reverse (200230230201), we get a palindrome (1220550550221).

The spelling of 1020320320020 in words is "one trillion, twenty billion, three hundred twenty million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 443 557 886 1114 1329 1671 1772 2215 2228 2658 2785 3342 4430 5316 5570 6645 6684 8355 8860 11140 13290 16710 26580 33420 68917 137834 206751 246751 275668 344585 413502 493502 689170 740253 827004 987004 1033755 1233755 1378340 1480506 2067510 2467510 2961012 3701265 4135020 4935020 7402530 14805060 30530231 38386769 61060462 76773538 91590693 115160307 122120924 152651155 153547076 183181386 191933845 230320614 305302310 366362772 383867690 457953465 460641228 575801535 610604620 767735380 915906930 1151603070 1831813860 2303206140 17005338667 34010677334 51016016001 68021354668 85026693335 102032032002 170053386670 204064064004 255080080005 340106773340 510160160010 1020320320020