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1020313020220 = 2251341760312589
BaseRepresentation
bin11101101100011110110…
…01010010011100111100
310121112121100221202202021
432312033121102130330
5113204100113121340
62100420401005524
7133500210401224
oct16661731223474
93545540852667
101020313020220
1136379211170a
121458b09238a4
13752a477c730
1437552131084
151b819c13e4a
hexed8f65273c

1020313020220 has 96 divisors (see below), whose sum is σ = 2364255754560. Its totient is φ = 367464867840.

The previous prime is 1020313020217. The next prime is 1020313020227. The reversal of 1020313020220 is 220203130201.

It is a junction number, because it is equal to n+sod(n) for n = 1020313020194 and 1020313020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020313020227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81041686 + ... + 81054274.

It is an arithmetic number, because the mean of its divisors is an integer number (24627664110).

Almost surely, 21020313020220 is an apocalyptic number.

1020313020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020313020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182127877280).

1020313020220 is an abundant number, since it is smaller than the sum of its proper divisors (1343942734340).

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

1020313020220 is a wasteful number, since it uses less digits than its factorization.

1020313020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20255 (or 20253 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1020313020220 its reverse (220203130201), we get a palindrome (1240516150421).

The spelling of 1020313020220 in words is "one trillion, twenty billion, three hundred thirteen million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 7603 10660 12589 15206 25178 30412 38015 50356 62945 76030 98839 125890 152060 163657 197678 251780 311723 327314 395356 494195 516149 623446 654628 818285 988390 1032298 1246892 1558615 1636570 1976780 2064596 2580745 3117230 3273140 4052399 5161490 6234460 6709937 8104798 10322980 13419874 16209596 20261995 26839748 33549685 40523990 67099370 81047980 95714167 134198740 191428334 382856668 478570835 957141670 1244284171 1914283340 2488568342 3924280847 4977136684 6221420855 7848561694 12442841710 15697123388 19621404235 24885683420 39242808470 51015651011 78485616940 102031302022 204062604044 255078255055 510156510110 1020313020220