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3125105220 = 2235232264569
BaseRepresentation
bin1011101001000101…
…0101001001000100
322001210102210102210
42322101111021010
522400011331340
61234033503420
7140304645636
oct27221251104
98053383383
103125105220
111364049896
12732711b70
133aa5a80b3
14219090a56
15134557180
hexba455244

3125105220 has 48 divisors (see below), whose sum is σ = 9130746240. Its totient is φ = 797127936.

The previous prime is 3125105201. The next prime is 3125105309. The reversal of 3125105220 is 225015213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1130905 + ... + 1133664.

It is an arithmetic number, because the mean of its divisors is an integer number (190223880).

Almost surely, 23125105220 is an apocalyptic number.

3125105220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3125105220 is an abundant number, since it is smaller than the sum of its proper divisors (6005641020).

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

3125105220 is a wasteful number, since it uses less digits than its factorization.

3125105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264604 (or 2264602 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 3125105220 is about 55902.6405458633. The cubic root of 3125105220 is about 1462.0252777301.

It can be divided in two parts, 3125 and 105220, that added together give a triangular number (108345 = T465).

The spelling of 3125105220 in words is "three billion, one hundred twenty-five million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 2264569 4529138 6793707 9058276 11322845 13587414 22645690 27174828 33968535 45291380 52085087 67937070 104170174 135874140 156255261 208340348 260425435 312510522 520850870 625021044 781276305 1041701740 1562552610 3125105220