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33005100020 = 22510131629077
BaseRepresentation
bin11110101111010000…
…011101101111110100
310011012011220210121212
4132233100131233310
51020043301200040
623055021500552
72245616502254
oct365720355764
9104164823555
1033005100020
1112aa7578172
126491411758
13315cb43aa9
1418515bb964
15cd2878d65
hex7af41dbf4

33005100020 has 24 divisors (see below), whose sum is σ = 69379173864. Its totient is φ = 13188999296.

The previous prime is 33005100001. The next prime is 33005100031. The reversal of 33005100020 is 2000150033.

It can be written as a sum of positive squares in 4 ways, for example, as 701508196 + 32303591824 = 26486^2 + 179732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33005099968 and 33005100004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794279 + ... + 834798.

It is an arithmetic number, because the mean of its divisors is an integer number (2890798911).

Almost surely, 233005100020 is an apocalyptic number.

It is an amenable number.

33005100020 is an abundant number, since it is smaller than the sum of its proper divisors (36374073844).

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

33005100020 is a wasteful number, since it uses less digits than its factorization.

33005100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630099 (or 1630097 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

Adding to 33005100020 its reverse (2000150033), we get a palindrome (35005250053).

The spelling of 33005100020 in words is "thirty-three billion, five million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 1013 2026 4052 5065 10130 20260 1629077 3258154 6516308 8145385 16290770 32581540 1650255001 3300510002 6601020004 8251275005 16502550010 33005100020