[go: up one dir, main page]

Search a number
-
+
12315100 = 2252773241
BaseRepresentation
bin101110111110…
…100111011100
3212011200010211
4232332213130
511123040400
61115542204
7206451040
oct56764734
925150124
1012315100
116a51576
12415a964
132722555
1418c8020
151133dba
hexbbe9dc

12315100 has 72 divisors (see below), whose sum is σ = 31088288. Its totient is φ = 4147200.

The previous prime is 12315077. The next prime is 12315101. The reversal of 12315100 is 151321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12315101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50980 + ... + 51220.

Almost surely, 212315100 is an apocalyptic number.

12315100 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 12315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544144).

12315100 is an abundant number, since it is smaller than the sum of its proper divisors (18773188).

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

12315100 is a wasteful number, since it uses less digits than its factorization.

12315100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 12315100 is about 3509.2876770080. The cubic root of 12315100 is about 230.9294462917.

Adding to 12315100 its reverse (151321), we get a palindrome (12466421).

The spelling of 12315100 in words is "twelve million, three hundred fifteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 241 292 350 365 482 511 700 730 964 1022 1205 1460 1687 1825 2044 2410 2555 3374 3650 4820 5110 6025 6748 7300 8435 10220 12050 12775 16870 17593 24100 25550 33740 35186 42175 51100 70372 84350 87965 123151 168700 175930 246302 351860 439825 492604 615755 879650 1231510 1759300 2463020 3078775 6157550 12315100