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1131321400 = 2352114311959
BaseRepresentation
bin100001101101110…
…1001100000111000
32220211210002012121
41003123221200320
54304104241100
6304132051024
740015034056
oct10333514070
92824702177
101131321400
11530668570
12276a63a74
131504c9261
14aa3731d6
15694c151a
hex436e9838

1131321400 has 96 divisors (see below), whose sum is σ = 2936419200. Its totient is φ = 401788800.

The previous prime is 1131321383. The next prime is 1131321419. The reversal of 1131321400 is 41231311.

It is a super-2 number, since 2×11313214002 = 2559776220195920000, 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, 88621 + ... + 100579.

It is an arithmetic number, because the mean of its divisors is an integer number (30587700).

Almost surely, 21131321400 is an apocalyptic number.

1131321400 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 1131321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468209600).

1131321400 is an abundant number, since it is smaller than the sum of its proper divisors (1805097800).

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

1131321400 is a wasteful number, since it uses less digits than its factorization.

1131321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029 (or 12020 counting only the distinct ones).

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

The square root of 1131321400 is about 33635.1215249774. The cubic root of 1131321400 is about 1041.9862804476.

Adding to 1131321400 its reverse (41231311), we get a palindrome (1172552711).

The spelling of 1131321400 in words is "one billion, one hundred thirty-one million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 11959 18920 23650 23918 47300 47836 59795 94600 95672 119590 131549 239180 263098 298975 478360 514237 526196 597950 657745 1028474 1052392 1195900 1315490 2056948 2391800 2571185 2630980 3288725 4113896 5142370 5261960 5656607 6577450 10284740 11313214 12855925 13154900 20569480 22626428 25711850 26309800 28283035 45252856 51423700 56566070 102847400 113132140 141415175 226264280 282830350 565660700 1131321400