Search a number
-
+
1014230100 = 2235213318389
BaseRepresentation
bin111100011100111…
…110110001010100
32121200110020010210
4330130332301110
54034120330400
6244350245420
734063546032
oct7434766124
92550406123
101014230100
114805630a4
122437b6870
13132180270
14989b3552
155e092950
hex3c73ec54

1014230100 has 144 divisors (see below), whose sum is σ = 3262568960. Its totient is φ = 241574400.

The previous prime is 1014230093. The next prime is 1014230117. The reversal of 1014230100 is 10324101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 116706 + ... + 125094.

Almost surely, 21014230100 is an apocalyptic number.

1014230100 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 1014230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631284480).

1014230100 is an abundant number, since it is smaller than the sum of its proper divisors (2248338860).

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

1014230100 is a wasteful number, since it uses less digits than its factorization.

1014230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1014230100 is about 31846.9794486071. The cubic root of 1014230100 is about 1004.7210433418.

Adding to 1014230100 its reverse (10324101), we get a palindrome (1024554201).

The spelling of 1014230100 in words is "one billion, fourteen million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 31 39 50 52 60 62 65 75 78 93 100 124 130 150 155 156 186 195 260 300 310 325 372 390 403 465 620 650 775 780 806 930 975 1209 1300 1550 1612 1860 1950 2015 2325 2418 3100 3900 4030 4650 4836 6045 8060 8389 9300 10075 12090 16778 20150 24180 25167 30225 33556 40300 41945 50334 60450 83890 100668 109057 120900 125835 167780 209725 218114 251670 260059 327171 419450 436228 503340 520118 545285 629175 654342 780177 838900 1040236 1090570 1258350 1300295 1308684 1560354 1635855 2181140 2516700 2600590 2726425 3120708 3271710 3380767 3900885 5201180 5452850 6501475 6543420 6761534 7801770 8179275 10142301 10905700 13002950 13523068 15603540 16358550 16903835 19504425 20284602 26005900 32717100 33807670 39008850 40569204 50711505 67615340 78017700 84519175 101423010 169038350 202846020 253557525 338076700 507115050 1014230100