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3312000100 = 2252291142069
BaseRepresentation
bin1100010101101001…
…0001110001100100
322112211010001000101
43011122101301210
523240333000400
61304351353444
7145034351653
oct30532216144
98484101011
103312000100
11144a5a0772
12785222884
1340a224396
14235c2119a
15145b7356a
hexc5691c64

3312000100 has 36 divisors (see below), whose sum is σ = 7434875700. Its totient is φ = 1279116160.

The previous prime is 3312000091. The next prime is 3312000151. The reversal of 3312000100 is 10002133.

It can be written as a sum of positive squares in 6 ways, for example, as 83942244 + 3228057856 = 9162^2 + 56816^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568135 + ... + 573934.

It is an arithmetic number, because the mean of its divisors is an integer number (206524325).

Almost surely, 23312000100 is an apocalyptic number.

It is an amenable number.

3312000100 is an abundant number, since it is smaller than the sum of its proper divisors (4122875600).

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

3312000100 is a wasteful number, since it uses less digits than its factorization.

3312000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142112 (or 1142105 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3312000100 is about 57549.9791485627. The cubic root of 3312000100 is about 1490.6079977463.

Adding to 3312000100 its reverse (10002133), we get a palindrome (3322002233).

The spelling of 3312000100 in words is "three billion, three hundred twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 1142069 2284138 4568276 5710345 11420690 22841380 28551725 33120001 57103450 66240002 114206900 132480004 165600005 331200010 662400020 828000025 1656000050 3312000100