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1020242540430 = 232511336028227
BaseRepresentation
bin11101101100010110011…
…00011011011110001110
310121112102110100000122200
432312023030123132032
5113203424042243210
62100405402222330
7133465363335621
oct16661314333616
93545373300580
101020242540430
11363756353153
121458911b49a6
1375292ca3709
1437546a25db8
151b8139410c0
hexed8b31b78e

1020242540430 has 24 divisors (see below), whose sum is σ = 2652630605352. Its totient is φ = 272064677424.

The previous prime is 1020242540407. The next prime is 1020242540437. The reversal of 1020242540430 is 340452420201.

1020242540430 is a `hidden beast` number, since 1 + 0 + 202 + 4 + 25 + 4 + 0 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1020242540394 and 1020242540403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020242540437) 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 11 ways as a sum of consecutive naturals, for example, 5668014024 + ... + 5668014203.

It is an arithmetic number, because the mean of its divisors is an integer number (110526275223).

Almost surely, 21020242540430 is an apocalyptic number.

1020242540430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020242540430 is an abundant number, since it is smaller than the sum of its proper divisors (1632388064922).

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

1020242540430 is a wasteful number, since it uses less digits than its factorization.

1020242540430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11336028240 (or 11336028237 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1020242540430 its reverse (340452420201), we get a palindrome (1360694960631).

The spelling of 1020242540430 in words is "one trillion, twenty billion, two hundred forty-two million, five hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11336028227 22672056454 34008084681 56680141135 68016169362 102024254043 113360282270 170040423405 204048508086 340080846810 510121270215 1020242540430