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1020244200340 = 225193264311969
BaseRepresentation
bin11101101100010110100…
…10110000101110010100
310121112102120110100121211
432312023102300232110
5113203430003402330
62100405501551204
7133465413421201
oct16661322605624
93545376410554
101020244200340
11363757287282
12145891875504
1375293435101
1437546d38ca8
151b813b6cd2a
hexed8b4b0b94

1020244200340 has 24 divisors (see below), whose sum is σ = 2153613931560. Its totient is φ = 405983182848.

The previous prime is 1020244200323. The next prime is 1020244200419. The reversal of 1020244200340 is 430024420201.

It is a happy number.

1020244200340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5280638224 + 1014963562116 = 72668^2 + 1007454^2 .

It is a super-2 number, since 2×10202442003402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132152125 + ... + 132159844.

It is an arithmetic number, because the mean of its divisors is an integer number (89733913815).

Almost surely, 21020244200340 is an apocalyptic number.

1020244200340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020244200340 is an abundant number, since it is smaller than the sum of its proper divisors (1133369731220).

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

1020244200340 is a wasteful number, since it uses less digits than its factorization.

1020244200340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264312171 (or 264312169 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 1020244200340 its reverse (430024420201), we get a palindrome (1450268620541).

The spelling of 1020244200340 in words is "one trillion, twenty billion, two hundred forty-four million, two hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 264311969 528623938 1057247876 1321559845 2643119690 5286239380 51012210017 102024420034 204048840068 255061050085 510122100170 1020244200340