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1020000033 = 3613432503
BaseRepresentation
bin111100110010111…
…111011100100001
32122002022101000000
4330302333130201
54042110000113
6245114050213
734163600013
oct7462773441
92562271000
101020000033
11483844138
12245719969
13133420620
14996761b3
155e832373
hex3ccbf721

1020000033 has 56 divisors (see below), whose sum is σ = 1685913152. Its totient is φ = 612849888.

The previous prime is 1020000013. The next prime is 1020000061. The reversal of 1020000033 is 3300000201.

It is a happy number.

It is not a de Polignac number, because 1020000033 - 29 = 1019999521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020000013) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 406260 + ... + 408762.

It is an arithmetic number, because the mean of its divisors is an integer number (30105592).

Almost surely, 21020000033 is an apocalyptic number.

1020000033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020000033 is a deficient number, since it is larger than the sum of its proper divisors (665913119).

1020000033 is an equidigital number, since it uses as much as digits as its factorization.

1020000033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1020000033 is about 31937.4393619777. The cubic root of 1020000033 is about 1006.6227204158.

Adding to 1020000033 its reverse (3300000201), we get a palindrome (4320000234).

The spelling of 1020000033 in words is "one billion, twenty million, thirty-three", and thus it is an aban number and an uban number.

Divisors: 1 3 9 13 27 39 43 81 117 129 243 351 387 559 729 1053 1161 1677 2503 3159 3483 5031 7509 9477 10449 15093 22527 31347 32539 45279 67581 97617 107629 135837 202743 292851 322887 407511 608229 878553 968661 1399177 1824687 2635659 2905983 4197531 7906977 8717949 12592593 23720931 26153847 37777779 78461541 113333337 340000011 1020000033