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1042033000520 = 23559661667987
BaseRepresentation
bin11110010100111100000…
…00011100000001001000
310200121200001221002102002
433022132000130001020
5114033040422004040
62114411531330132
7135166356235031
oct17123600340110
93617601832362
101042033000520
11371a18510356
12149b528b0948
13773565ab095
1438612a1da88
151c18b97da15
hexf29e01c048

1042033000520 has 64 divisors (see below), whose sum is σ = 2387923502400. Its totient is φ = 409128065280.

The previous prime is 1042033000507. The next prime is 1042033000523. The reversal of 1042033000520 is 250003302401.

It is a happy number.

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 = 1042033000492 and 1042033000501.

It is not an unprimeable number, because it can be changed into a prime (1042033000523) 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, 1225967 + ... + 1893953.

It is an arithmetic number, because the mean of its divisors is an integer number (37311304725).

Almost surely, 21042033000520 is an apocalyptic number.

1042033000520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042033000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193961751200).

1042033000520 is an abundant number, since it is smaller than the sum of its proper divisors (1345890501880).

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

1042033000520 is a wasteful number, since it uses less digits than its factorization.

1042033000520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668718 (or 668714 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 1042033000520 its reverse (250003302401), we get a palindrome (1292036302921).

The spelling of 1042033000520 in words is "one trillion, forty-two billion, thirty-three million, five hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 661 1180 1322 2360 2644 3305 5288 6610 13220 26440 38999 77998 155996 194995 311992 389990 667987 779980 1335974 1559960 2671948 3339935 5343896 6679870 13359740 26719480 39411233 78822466 157644932 197056165 315289864 394112330 441539407 788224660 883078814 1576449320 1766157628 2207697035 3532315256 4415394070 8830788140 17661576280 26050825013 52101650026 104203300052 130254125065 208406600104 260508250130 521016500260 1042033000520