Search a number
-
+
1213322020 = 225314159809
BaseRepresentation
bin100100001010001…
…1101001100100100
310010120002010220121
41020110131030210
54441102301040
6320221411324
742032031661
oct11024351444
93116063817
101213322020
11572985879
1229a409b44
131644aa131
14b71daa68
15717bcc4a
hex4851d324

1213322020 has 96 divisors (see below), whose sum is σ = 2743372800. Its totient is φ = 449894400.

The previous prime is 1213322009. The next prime is 1213322021. The reversal of 1213322020 is 202233121.

It is a junction number, because it is equal to n+sod(n) for n = 1213321985 and 1213322003.

It is not an unprimeable number, because it can be changed into a prime (1213322021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499376 + ... + 1500184.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 21213322020 is an apocalyptic number.

1213322020 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 1213322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371686400).

1213322020 is an abundant number, since it is smaller than the sum of its proper divisors (1530050780).

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

1213322020 is a wasteful number, since it uses less digits than its factorization.

1213322020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1213322020 is about 34832.7722123864. The cubic root of 1213322020 is about 1066.5765390429.

Adding to 1213322020 its reverse (202233121), we get a palindrome (1415555141).

The spelling of 1213322020 in words is "one billion, two hundred thirteen million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 41 59 62 82 118 124 155 164 205 236 295 310 410 590 620 809 820 1180 1271 1618 1829 2419 2542 3236 3658 4045 4838 5084 6355 7316 8090 9145 9676 12095 12710 16180 18290 24190 25079 25420 33169 36580 47731 48380 50158 66338 74989 95462 100316 125395 132676 149978 165845 190924 238655 250790 299956 331690 374945 477310 501580 663380 749890 954620 1028239 1479661 1499780 1956971 2056478 2959322 3913942 4112956 5141195 5918644 7398305 7827884 9784855 10282390 14796610 19569710 20564780 29593220 39139420 60666101 121332202 242664404 303330505 606661010 1213322020