Search a number
-
+
3150520100 = 2252713461751
BaseRepresentation
bin1011101111001001…
…0001111100100100
322010120021000002122
42323302101330210
522423013120400
61240342325112
7141033656540
oct27362217444
98116230078
103150520100
111377428422
1273b129798
133b29360a0
1421c5c8a20
151368c7685
hexbbc91f24

3150520100 has 144 divisors (see below), whose sum is σ = 8443792896. Its totient is φ = 993600000.

The previous prime is 3150520063. The next prime is 3150520103. The reversal of 3150520100 is 10250513.

It is not an unprimeable number, because it can be changed into a prime (3150520103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4194725 + ... + 4195475.

Almost surely, 23150520100 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 3150520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221896448).

3150520100 is an abundant number, since it is smaller than the sum of its proper divisors (5293272796).

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

3150520100 is a wasteful number, since it uses less digits than its factorization.

3150520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 3150520100 is about 56129.4940294316. The cubic root of 3150520100 is about 1465.9778830773.

Adding to 3150520100 its reverse (10250513), we get a palindrome (3160770613).

The spelling of 3150520100 in words is "three billion, one hundred fifty million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 461 650 700 751 910 922 1300 1502 1820 1844 2275 2305 3004 3227 3755 4550 4610 5257 5993 6454 7510 9100 9220 9763 10514 11525 11986 12908 15020 16135 18775 19526 21028 23050 23972 26285 29965 32270 37550 39052 41951 46100 48815 52570 59930 64540 68341 75100 80675 83902 97630 105140 119860 131425 136682 149825 161350 167804 195260 209755 244075 262850 273364 299650 322700 341705 346211 419510 488150 525700 599300 683410 692422 839020 976300 1048775 1366820 1384844 1708525 1731055 2097550 2423477 3417050 3462110 4195100 4500743 4846954 6834100 6924220 8655275 9001486 9693908 12117385 17310550 18002972 22503715 24234770 31505201 34621100 45007430 48469540 60586925 63010402 90014860 112518575 121173850 126020804 157526005 225037150 242347700 315052010 450074300 630104020 787630025 1575260050 3150520100