Search a number
-
+
1321233100 = 2252112634567
BaseRepresentation
bin100111011000000…
…0110101011001100
310102002010121002021
41032300012223030
510201213424400
6335034335524
744512203355
oct11660065314
93362117067
101321233100
1161888aa90
1230a58a5a4
13180960745
14c768ad2c
157aed671a
hex4ec06acc

1321233100 has 72 divisors (see below), whose sum is σ = 3140299008. Its totient is φ = 478516800.

The previous prime is 1321233061. The next prime is 1321233103. The reversal of 1321233100 is 13321231.

It is a super-2 number, since 2×13212331002 = 3491313809071220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1321233103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287017 + ... + 291583.

It is an arithmetic number, because the mean of its divisors is an integer number (43615264).

Almost surely, 21321233100 is an apocalyptic number.

1321233100 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 1321233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570149504).

1321233100 is an abundant number, since it is smaller than the sum of its proper divisors (1819065908).

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

1321233100 is a wasteful number, since it uses less digits than its factorization.

1321233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4848 counting only the distinct ones).

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

The square root of 1321233100 is about 36348.7702680572. The cubic root of 1321233100 is about 1097.3027857406.

Adding to 1321233100 its reverse (13321231), we get a palindrome (1334554331).

The spelling of 1321233100 in words is "one billion, three hundred twenty-one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 263 275 526 550 1052 1100 1315 2630 2893 4567 5260 5786 6575 9134 11572 13150 14465 18268 22835 26300 28930 45670 50237 57860 72325 91340 100474 114175 144650 200948 228350 251185 289300 456700 502370 1004740 1201121 1255925 2402242 2511850 4804484 5023700 6005605 12011210 13212331 24022420 26424662 30028025 52849324 60056050 66061655 120112100 132123310 264246620 330308275 660616550 1321233100