Search a number
-
+
1132211300 = 2252118312401
BaseRepresentation
bin100001101111100…
…0010110001100100
32220220110021220212
41003133002301210
54304321230200
6304203114552
740025431403
oct10337026144
92826407825
101132211300
11531116120
12277212a58
1315074b31c
14aa52563a
15695ea035
hex437c2c64

1132211300 has 72 divisors (see below), whose sum is σ = 2712763872. Its totient is φ = 406720000.

The previous prime is 1132211299. The next prime is 1132211303. The reversal of 1132211300 is 31122311.

1132211300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1132211303) 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, 85100 + ... + 97500.

It is an arithmetic number, because the mean of its divisors is an integer number (37677276).

Almost surely, 21132211300 is an apocalyptic number.

1132211300 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 1132211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356381936).

1132211300 is an abundant number, since it is smaller than the sum of its proper divisors (1580552572).

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

1132211300 is a wasteful number, since it uses less digits than its factorization.

1132211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12509 (or 12502 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1132211300 is about 33648.3476563114. The cubic root of 1132211300 is about 1042.2594184400.

Adding to 1132211300 its reverse (31122311), we get a palindrome (1163333611).

It can be divided in two parts, 11322 and 11300, that added together give a palindrome (22622).

The spelling of 1132211300 in words is "one billion, one hundred thirty-two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 275 332 415 550 830 913 1100 1660 1826 2075 3652 4150 4565 8300 9130 12401 18260 22825 24802 45650 49604 62005 91300 124010 136411 248020 272822 310025 545644 620050 682055 1029283 1240100 1364110 2058566 2728220 3410275 4117132 5146415 6820550 10292830 11322113 13641100 20585660 22644226 25732075 45288452 51464150 56610565 102928300 113221130 226442260 283052825 566105650 1132211300