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1023410411300 = 225276691334477
BaseRepresentation
bin11101110010010000000…
…00111001011100100100
310121211121020020112112102
432321020000321130210
5113231421031130200
62102052004511232
7133640030652014
oct16711000713444
93554536215472
101023410411300
11365031551452
121464160ab518
13756793a3114
1437767649c44
151b94bae46d5
hexee48039724

1023410411300 has 36 divisors (see below), whose sum is σ = 2221091838420. Its totient is φ = 409310478720.

The previous prime is 1023410411291. The next prime is 1023410411311. The reversal of 1023410411300 is 31140143201.

It can be written as a sum of positive squares in 6 ways, for example, as 41238237184 + 982172174116 = 203072^2 + 991046^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99662 + ... + 1434138.

Almost surely, 21023410411300 is an apocalyptic number.

1023410411300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023410411300 is an abundant number, since it is smaller than the sum of its proper divisors (1197681427120).

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

1023410411300 is a wasteful number, since it uses less digits than its factorization.

1023410411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342160 (or 1342153 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1023410411300 its reverse (31140143201), we get a palindrome (1054550554501).

The spelling of 1023410411300 in words is "one trillion, twenty-three billion, four hundred ten million, four hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7669 15338 30676 38345 76690 153380 191725 383450 766900 1334477 2668954 5337908 6672385 13344770 26689540 33361925 66723850 133447700 10234104113 20468208226 40936416452 51170520565 102341041130 204682082260 255852602825 511705205650 1023410411300