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11240276200 = 23521091992591
BaseRepresentation
bin10100111011111100…
…10000000011101000
31002000100120012012221
422131332100003220
5141010002314300
65055210043424
7545354525356
oct123576200350
932010505187
1011240276200
11484892a96a
122218419574
1310a194410a
14788b787d6
1545bc0231a
hex29df900e8

11240276200 has 96 divisors (see below), whose sum is σ = 26516160000. Its totient is φ = 4430764800.

The previous prime is 11240276171. The next prime is 11240276207. The reversal of 11240276200 is 267204211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11240276207) 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, 4336905 + ... + 4339495.

It is an arithmetic number, because the mean of its divisors is an integer number (276210000).

Almost surely, 211240276200 is an apocalyptic number.

11240276200 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 11240276200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080000).

11240276200 is an abundant number, since it is smaller than the sum of its proper divisors (15275883800).

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

11240276200 is a wasteful number, since it uses less digits than its factorization.

11240276200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The spelling of 11240276200 in words is "eleven billion, two hundred forty million, two hundred seventy-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 199 200 218 398 436 545 796 872 995 1090 1592 1990 2180 2591 2725 3980 4360 4975 5182 5450 7960 9950 10364 10900 12955 19900 20728 21691 21800 25910 39800 43382 51820 64775 86764 103640 108455 129550 173528 216910 259100 282419 433820 515609 518200 542275 564838 867640 1031218 1084550 1129676 1412095 2062436 2169100 2259352 2578045 2824190 4124872 4338200 5156090 5648380 7060475 10312180 11296760 12890225 14120950 20624360 25780450 28241900 51560900 56201381 56483800 103121800 112402762 224805524 281006905 449611048 562013810 1124027620 1405034525 2248055240 2810069050 5620138100 11240276200