Search a number
-
+
3105213150 = 2352132117547
BaseRepresentation
bin1011100100010101…
…1100101011011110
322000102000011122110
42321011130223132
522324413310100
61232043254450
7136643606364
oct27105345336
98012004573
103105213150
1113538a2666
12727b1a426
133a6431b40
14216593634
15132928250
hexb915cade

3105213150 has 96 divisors (see below), whose sum is σ = 8333716608. Its totient is φ = 760636800.

The previous prime is 3105213143. The next prime is 3105213211. The reversal of 3105213150 is 513125013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407677 + ... + 415223.

It is an arithmetic number, because the mean of its divisors is an integer number (86809548).

Almost surely, 23105213150 is an apocalyptic number.

3105213150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105213150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166858304).

3105213150 is an abundant number, since it is smaller than the sum of its proper divisors (5228503458).

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

3105213150 is a wasteful number, since it uses less digits than its factorization.

3105213150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 3105213150 is about 55724.4394319046. The cubic root of 3105213150 is about 1458.9166213838.

Adding to 3105213150 its reverse (513125013), we get a palindrome (3618338163).

The spelling of 3105213150 in words is "three billion, one hundred five million, two hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 211 325 390 422 633 650 975 1055 1266 1950 2110 2743 3165 5275 5486 6330 7547 8229 10550 13715 15094 15825 16458 22641 27430 31650 37735 41145 45282 68575 75470 82290 98111 113205 137150 188675 196222 205725 226410 294333 377350 411450 490555 566025 588666 981110 1132050 1471665 1592417 2452775 2943330 3184834 4777251 4905550 7358325 7962085 9554502 14716650 15924170 20701421 23886255 39810425 41402842 47772510 62104263 79620850 103507105 119431275 124208526 207014210 238862550 310521315 517535525 621042630 1035071050 1552606575 3105213150