Search a number
-
+
1223312100 = 223527383673
BaseRepresentation
bin100100011101010…
…0100001011100100
310011020212200201120
41020322210023210
510001131441400
6321215453540
742212660403
oct11072441344
93136780646
101223312100
1157858953a
122a18272b0
1316659731a
14b867b63a
15725e2ca0
hex48ea42e4

1223312100 has 144 divisors (see below), whose sum is σ = 3636558912. Its totient is φ = 317399040.

The previous prime is 1223312089. The next prime is 1223312107. The reversal of 1223312100 is 12133221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1223312100.

It is not an unprimeable number, because it can be changed into a prime (1223312107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1817364 + ... + 1818036.

Almost surely, 21223312100 is an apocalyptic number.

1223312100 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 1223312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818279456).

1223312100 is an abundant number, since it is smaller than the sum of its proper divisors (2413246812).

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

1223312100 is a wasteful number, since it uses less digits than its factorization.

1223312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1223312100 is about 34975.8788309887. The cubic root of 1223312100 is about 1069.4958174356.

Adding to 1223312100 its reverse (12133221), we get a palindrome (1235445321).

The spelling of 1223312100 in words is "one billion, two hundred twenty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 83 100 146 150 166 219 249 292 300 332 365 415 438 498 673 730 830 876 996 1095 1245 1346 1460 1660 1825 2019 2075 2190 2490 2692 3365 3650 4038 4150 4380 4980 5475 6059 6225 6730 7300 8076 8300 10095 10950 12118 12450 13460 16825 18177 20190 21900 24236 24900 30295 33650 36354 40380 49129 50475 55859 60590 67300 72708 90885 98258 100950 111718 121180 147387 151475 167577 181770 196516 201900 223436 245645 279295 294774 302950 335154 363540 454425 491290 558590 589548 605900 670308 736935 837885 908850 982580 1117180 1228225 1396475 1473870 1675770 1817700 2456450 2792950 2947740 3351540 3684675 4077707 4189425 4912900 5585900 7369350 8155414 8378850 12233121 14738700 16310828 16757700 20388535 24466242 40777070 48932484 61165605 81554140 101942675 122331210 203885350 244662420 305828025 407770700 611656050 1223312100