Search a number
-
+
1132212300 = 223524797879
BaseRepresentation
bin100001101111100…
…0011000001001100
32220220110100021220
41003133003001030
54304321243200
6304203123340
740025434332
oct10337030114
92826410256
101132212300
1153111694a
12277213550
1315074b90b
14aa525b52
15695ea4a0
hex437c304c

1132212300 has 72 divisors (see below), whose sum is σ = 3283123200. Its totient is φ = 301254720.

The previous prime is 1132212269. The next prime is 1132212313. The reversal of 1132212300 is 32122311.

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 1132212300.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 139761 + ... + 147639.

Almost surely, 21132212300 is an apocalyptic number.

1132212300 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 1132212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641561600).

1132212300 is an abundant number, since it is smaller than the sum of its proper divisors (2150910900).

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

1132212300 is a wasteful number, since it uses less digits than its factorization.

1132212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8368 counting only the distinct ones).

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

The square root of 1132212300 is about 33648.3625158788. The cubic root of 1132212300 is about 1042.2597252906.

Adding to 1132212300 its reverse (32122311), we get a palindrome (1164334611).

The spelling of 1132212300 in words is "one billion, one hundred thirty-two million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 479 958 1437 1916 2395 2874 4790 5748 7185 7879 9580 11975 14370 15758 23637 23950 28740 31516 35925 39395 47274 47900 71850 78790 94548 118185 143700 157580 196975 236370 393950 472740 590925 787900 1181850 2363700 3774041 7548082 11322123 15096164 18870205 22644246 37740410 45288492 56610615 75480820 94351025 113221230 188702050 226442460 283053075 377404100 566106150 1132212300