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1132113400 = 2352112691913
BaseRepresentation
bin100001101111010…
…1010110111111000
32220220021022121221
41003132222313320
54304310112100
6304201041424
740024543105
oct10336526770
92826238557
101132113400
11531059610
12277186274
131507158b2
14aa4dbaac
15695cb01a
hex437aadf8

1132113400 has 96 divisors (see below), whose sum is σ = 2883632400. Its totient is φ = 409932800.

The previous prime is 1132113379. The next prime is 1132113401. The reversal of 1132113400 is 43112311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132113401) 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, 590844 + ... + 592756.

Almost surely, 21132113400 is an apocalyptic number.

1132113400 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 1132113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441816200).

1132113400 is an abundant number, since it is smaller than the sum of its proper divisors (1751519000).

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

1132113400 is a wasteful number, since it uses less digits than its factorization.

1132113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1132113400 is about 33646.8928728939. The cubic root of 1132113400 is about 1042.2293768926.

Adding to 1132113400 its reverse (43112311), we get a palindrome (1175225711).

It can be divided in two parts, 113211 and 3400, that added together give a palindrome (116611).

The spelling of 1132113400 in words is "one billion, one hundred thirty-two million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 269 275 440 538 550 1076 1100 1345 1913 2152 2200 2690 2959 3826 5380 5918 6725 7652 9565 10760 11836 13450 14795 15304 19130 21043 23672 26900 29590 38260 42086 47825 53800 59180 73975 76520 84172 95650 105215 118360 147950 168344 191300 210430 295900 382600 420860 514597 526075 591800 841720 1029194 1052150 2058388 2104300 2572985 4116776 4208600 5145970 5660567 10291940 11321134 12864925 20583880 22642268 25729850 28302835 45284536 51459700 56605670 102919400 113211340 141514175 226422680 283028350 566056700 1132113400