Search a number
-
+
3125105200 = 245274723747
BaseRepresentation
bin1011101001000101…
…0101001000110000
322001210102210102001
42322101111020300
522400011331300
61234033503344
7140304645610
oct27221251060
98053383361
103125105200
111364049878
12732711b54
133aa5a8099
14219090a40
1513455716a
hexba455230

3125105200 has 120 divisors (see below), whose sum is σ = 8763581952. Its totient is φ = 1048623360.

The previous prime is 3125105183. The next prime is 3125105201. The reversal of 3125105200 is 25015213.

It is a super-2 number, since 2×31251052002 = 19532565022134080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3125105201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 119727 + ... + 143473.

Almost surely, 23125105200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3125105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381790976).

3125105200 is an abundant number, since it is smaller than the sum of its proper divisors (5638476752).

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

3125105200 is a wasteful number, since it uses less digits than its factorization.

3125105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23819 (or 23808 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 3125105200 is about 55902.6403669809. The cubic root of 3125105200 is about 1462.0252746112.

The spelling of 3125105200 in words is "three billion, one hundred twenty-five million, one hundred five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 47 50 56 70 80 94 100 112 140 175 188 200 235 280 329 350 376 400 470 560 658 700 752 940 1175 1316 1400 1645 1880 2350 2632 2800 3290 3760 4700 5264 6580 8225 9400 13160 16450 18800 23747 26320 32900 47494 65800 94988 118735 131600 166229 189976 237470 332458 379952 474940 593675 664916 831145 949880 1116109 1187350 1329832 1662290 1899760 2232218 2374700 2659664 3324580 4155725 4464436 4749400 5580545 6649160 7812763 8311450 8928872 9498800 11161090 13298320 15625526 16622900 17857744 22322180 27902725 31251052 33245800 39063815 44644360 55805450 62502104 66491600 78127630 89288720 111610900 125004208 156255260 195319075 223221800 312510520 390638150 446443600 625021040 781276300 1562552600 3125105200