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3133100032 = 2121395503
BaseRepresentation
bin1011101010111111…
…0101000000000000
322002100110222020221
42322233311000000
522404033200112
61234521112424
7140432624266
oct27257650000
98070428227
103133100032
11136860a477
12735328714
133ac14705a
1421a172436
151350d5e07
hexbabf5000

3133100032 has 52 divisors (see below), whose sum is σ = 6311656960. Its totient is φ = 1554997248.

The previous prime is 3133100011. The next prime is 3133100053. The reversal of 3133100032 is 2300013313.

It is an interprime number because it is at equal distance from previous prime (3133100011) and next prime (3133100053).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3133099979 and 3133100015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 566593 + ... + 572095.

Almost surely, 23133100032 is an apocalyptic number.

3133100032 is a gapful number since it is divisible by the number (32) 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 3133100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155828480).

3133100032 is an abundant number, since it is smaller than the sum of its proper divisors (3178556928).

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

3133100032 is an equidigital number, since it uses as much as digits as its factorization.

3133100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 3133100032 is about 55974.1014398623. The cubic root of 3133100032 is about 1463.2709599362.

Adding to 3133100032 its reverse (2300013313), we get a palindrome (5433113345).

The spelling of 3133100032 in words is "three billion, one hundred thirty-three million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 512 556 1024 1112 2048 2224 4096 4448 5503 8896 11006 17792 22012 35584 44024 71168 88048 142336 176096 284672 352192 569344 704384 764917 1408768 1529834 2817536 3059668 5635072 6119336 11270144 12238672 22540288 24477344 48954688 97909376 195818752 391637504 783275008 1566550016 3133100032