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1132113200 = 245273137283
BaseRepresentation
bin100001101111010…
…1010110100110000
32220220021022100112
41003132222310300
54304310110300
6304201040452
740024542401
oct10336526460
92826238315
101132113200
11531059449
12277186128
1315071578a
14aa4db9a8
15695cae35
hex437aad30

1132113200 has 120 divisors (see below), whose sum is σ = 2787099888. Its totient is φ = 441815040.

The previous prime is 1132113173. The next prime is 1132113217. The reversal of 1132113200 is 23112311.

It is a super-2 number, since 2×11321132002 = 2563360595228480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000259 + ... + 4000541.

Almost surely, 21132113200 is an apocalyptic number.

1132113200 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 1132113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393549944).

1132113200 is an abundant number, since it is smaller than the sum of its proper divisors (1654986688).

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

1132113200 is a wasteful number, since it uses less digits than its factorization.

1132113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 500 counting only the distinct ones).

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

The square root of 1132113200 is about 33646.8899008512. The cubic root of 1132113200 is about 1042.2293155189.

Adding to 1132113200 its reverse (23112311), we get a palindrome (1155225511).

It can be divided in two parts, 1132 and 113200, that multiplied together give a square (128142400 = 113202).

The spelling of 1132113200 in words is "one billion, one hundred thirty-two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 137 146 200 274 283 292 365 400 548 566 584 685 730 1096 1132 1168 1370 1415 1460 1825 2192 2264 2740 2830 2920 3425 3650 4528 5480 5660 5840 6850 7075 7300 10001 10960 11320 13700 14150 14600 20002 20659 22640 27400 28300 29200 38771 40004 41318 50005 54800 56600 77542 80008 82636 100010 103295 113200 155084 160016 165272 193855 200020 206590 250025 310168 330544 387710 400040 413180 500050 516475 620336 775420 800080 826360 969275 1000100 1032950 1550840 1652720 1938550 2000200 2065900 2830283 3101680 3877100 4000400 4131800 5660566 7754200 8263600 11321132 14151415 15508400 22642264 28302830 45284528 56605660 70757075 113211320 141514150 226422640 283028300 566056600 1132113200