Search a number
-
+
1213323100 = 22521167101163
BaseRepresentation
bin100100001010001…
…1101011101011100
310010120002012101121
41020110131131130
54441102314400
6320221420324
742032035063
oct11024353534
93116065347
101213323100
11572986670
1229a40a6a4
131644aa782
14b71db1da
15717bd21a
hex4851d75c

1213323100 has 144 divisors (see below), whose sum is σ = 2962060416. Its totient is φ = 427680000.

The previous prime is 1213323091. The next prime is 1213323103. The reversal of 1213323100 is 13233121.

It is a super-2 number, since 2×12133231002 = 2944305889987220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213323103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7443619 + ... + 7443781.

It is an arithmetic number, because the mean of its divisors is an integer number (20569864).

Almost surely, 21213323100 is an apocalyptic number.

1213323100 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 1213323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481030208).

1213323100 is an abundant number, since it is smaller than the sum of its proper divisors (1748737316).

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

1213323100 is a wasteful number, since it uses less digits than its factorization.

1213323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1213323100 is about 34832.7877150250. The cubic root of 1213323100 is about 1066.5768555025.

Adding to 1213323100 its reverse (13233121), we get a palindrome (1226556221).

The spelling of 1213323100 in words is "one billion, two hundred thirteen million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 101 110 134 163 202 220 268 275 326 335 404 505 550 652 670 737 815 1010 1100 1111 1340 1474 1630 1675 1793 2020 2222 2525 2948 3260 3350 3586 3685 4075 4444 5050 5555 6700 6767 7172 7370 8150 8965 10100 10921 11110 13534 14740 16300 16463 17930 18425 21842 22220 27068 27775 32926 33835 35860 36850 43684 44825 54605 55550 65852 67670 73700 74437 82315 89650 109210 111100 120131 135340 148874 164630 169175 179300 181093 218420 240262 273025 297748 329260 338350 362186 372185 411575 480524 546050 600655 676700 724372 744370 823150 905465 1092100 1103021 1201310 1488740 1646300 1810930 1860925 2206042 2402620 3003275 3621860 3721850 4412084 4527325 5515105 6006550 7443700 9054650 11030210 12013100 12133231 18109300 22060420 24266462 27575525 48532924 55151050 60666155 110302100 121332310 242664620 303330775 606661550 1213323100