Search a number
-
+
12057303500 = 22531114914713
BaseRepresentation
bin10110011101010101…
…11101100111001100
31011010021221110222022
423032222331213030
5144143132203000
65312233505312
7604535250224
oct131652754714
934107843868
1012057303500
115128040640
122405b72238
1311a1ca9318
14825497084
154a87de585
hex2ceabd9cc

12057303500 has 96 divisors (see below), whose sum is σ = 28921838400. Its totient is φ = 4354752000.

The previous prime is 12057303487. The next prime is 12057303527. The reversal of 12057303500 is 530375021.

It is a super-2 number, since 2×120573035002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12057303500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812144 + ... + 826856.

It is an arithmetic number, because the mean of its divisors is an integer number (301269150).

Almost surely, 212057303500 is an apocalyptic number.

12057303500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12057303500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14460919200).

12057303500 is an abundant number, since it is smaller than the sum of its proper divisors (16864534900).

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

12057303500 is a wasteful number, since it uses less digits than its factorization.

12057303500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14892 (or 14880 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

Adding to 12057303500 its reverse (530375021), we get a palindrome (12587678521).

The spelling of 12057303500 in words is "twelve billion, fifty-seven million, three hundred three thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 149 220 250 275 298 500 550 596 745 1100 1375 1490 1639 2750 2980 3278 3725 5500 6556 7450 8195 14713 14900 16390 18625 29426 32780 37250 40975 58852 73565 74500 81950 147130 161843 163900 204875 294260 323686 367825 409750 647372 735650 809215 819500 1471300 1618430 1839125 2192237 3236860 3678250 4046075 4384474 7356500 8092150 8768948 10961185 16184300 20230375 21922370 24114607 40460750 43844740 48229214 54805925 80921500 96458428 109611850 120573035 219223700 241146070 274029625 482292140 548059250 602865175 1096118500 1205730350 2411460700 3014325875 6028651750 12057303500