Search a number
-
+
1002230100 = 2232523730097
BaseRepresentation
bin111011101111001…
…101000101010100
32120211212120020100
4323233031011110
54023032330400
6243241134100
733556546434
oct7357150524
92524776210
101002230100
11474807343
1223b78a330
1312c83b281
149716c2c4
155cec2100
hex3bbcd154

1002230100 has 108 divisors (see below), whose sum is σ = 3226445404. Its totient is φ = 260029440.

The previous prime is 1002230081. The next prime is 1002230191. The reversal of 1002230100 is 10322001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 63297936 + 938932164 = 7956^2 + 30642^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 35 ways as a sum of consecutive naturals, for example, 18252 + ... + 48348.

Almost surely, 21002230100 is an apocalyptic number.

1002230100 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 1002230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613222702).

1002230100 is an abundant number, since it is smaller than the sum of its proper divisors (2224215304).

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

1002230100 is a wasteful number, since it uses less digits than its factorization.

1002230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30154 (or 30144 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1002230100 is about 31658.0179417474. The cubic root of 1002230100 is about 1000.7428147563.

Adding to 1002230100 its reverse (10322001), we get a palindrome (1012552101).

The spelling of 1002230100 in words is "one billion, two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 30097 33300 60194 90291 120388 150485 180582 270873 300970 361164 451455 541746 601940 752425 902910 1083492 1113589 1354365 1504850 1805820 2227178 2257275 2708730 3009700 3340767 4454356 4514550 5417460 5567945 6681534 6771825 9029100 10022301 11135890 13363068 13543650 16703835 20044602 22271780 27087300 27839725 33407670 40089204 50111505 55679450 66815340 83519175 100223010 111358900 167038350 200446020 250557525 334076700 501115050 1002230100