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1020433130431 = 11138087882391
BaseRepresentation
bin11101101100101101000…
…11011110001110111111
310121112220201221222222121
432312112203132032333
5113204321340133211
62100440331223411
7133503166331611
oct16662643361677
93545821858877
101020433130431
11363843999250
12145924ba7b67
13752c3614870
1437564078db1
151b82553c271
hexed968de3bf

1020433130431 has 16 divisors (see below), whose sum is σ = 1198980131328. Its totient is φ = 856200664800.

The previous prime is 1020433130407. The next prime is 1020433130441. The reversal of 1020433130431 is 1340313340201.

It is not a de Polignac number, because 1020433130431 - 223 = 1020424741823 is a prime.

It is a super-2 number, since 2×10204331304312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020433130396 and 1020433130405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020433130441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715246 + ... + 1597636.

It is an arithmetic number, because the mean of its divisors is an integer number (74936258208).

Almost surely, 21020433130431 is an apocalyptic number.

1020433130431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020433130431 is a deficient number, since it is larger than the sum of its proper divisors (178547000897).

1020433130431 is a wasteful number, since it uses less digits than its factorization.

1020433130431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890502.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1020433130431 its reverse (1340313340201), we get a palindrome (2360746470632).

The spelling of 1020433130431 in words is "one trillion, twenty billion, four hundred thirty-three million, one hundred thirty thousand, four hundred thirty-one".

Divisors: 1 11 13 143 8087 88957 105131 882391 1156441 9706301 11471083 126181913 7135896017 78494856187 92766648221 1020433130431