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1020141333020 = 225131743524047
BaseRepresentation
bin11101101100001010010…
…10010110101000011100
310121112011101220011012002
432312011022112220130
5113203222140124040
62100351345101432
7133463024154365
oct16660512265034
93545141804162
101020141333020
11363704207567
12145863327878
1375278029484
14375373dcb6c
151b809aeda15
hexed85296a1c

1020141333020 has 48 divisors (see below), whose sum is σ = 2161559651328. Its totient is φ = 404395817280.

The previous prime is 1020141333011. The next prime is 1020141333037. The reversal of 1020141333020 is 203331410201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020141332983 and 1020141333001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684637 + ... + 2208683.

It is an arithmetic number, because the mean of its divisors is an integer number (45032492736).

Almost surely, 21020141333020 is an apocalyptic number.

1020141333020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020141333020 is an abundant number, since it is smaller than the sum of its proper divisors (1141418318308).

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

1020141333020 is a wasteful number, since it uses less digits than its factorization.

1020141333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524930 (or 524928 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1020141333020 its reverse (203331410201), we get a palindrome (1223472743221).

The spelling of 1020141333020 in words is "one trillion, twenty billion, one hundred forty-one million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 743 1310 1486 2620 2972 3715 7430 14860 97333 194666 389332 486665 524047 973330 1048094 1946660 2096188 2620235 5240470 10480940 68650157 137300314 274600628 343250785 389366921 686501570 778733842 1373003140 1557467684 1946834605 3893669210 7787338420 51007066651 102014133302 204028266604 255035333255 510070666510 1020141333020