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11021211300 = 223521123145207
BaseRepresentation
bin10100100001110101…
…00101011010100100
31001110002100112200010
422100322211122210
5140032412230200
65021342450220
7540054515241
oct122072453244
931402315603
1011021211300
1147462061a0
122176b93970
131068443208
14767a325c8
1544787e150
hex290ea56a4

11021211300 has 144 divisors (see below), whose sum is σ = 36299676672. Its totient is φ = 2555625600.

The previous prime is 11021211293. The next prime is 11021211317. The reversal of 11021211300 is 311212011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3297 + ... + 148503.

It is an arithmetic number, because the mean of its divisors is an integer number (252081088).

Almost surely, 211021211300 is an apocalyptic number.

11021211300 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 11021211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18149838336).

11021211300 is an abundant number, since it is smaller than the sum of its proper divisors (25278465372).

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

11021211300 is a wasteful number, since it uses less digits than its factorization.

11021211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145258 (or 145251 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11021211300 its reverse (311212011), we get a palindrome (11332423311).

The spelling of 11021211300 in words is "eleven billion, twenty-one million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 145207 290414 435621 580828 726035 871242 1452070 1597277 1742484 2178105 2904140 3194554 3339761 3630175 4356210 4791831 6389108 6679522 7260350 7986385 8712420 9583662 10019283 10890525 13359044 14520700 15972770 16698805 19167324 20038566 21781050 23959155 31945540 33397610 36737371 39931925 40077132 43562100 47918310 50096415 66795220 73474742 79863850 83494025 95836620 100192830 110212113 119795775 146949484 159727700 166988050 183686855 200385660 220424226 239591550 250482075 333976100 367373710 440848452 479183100 500964150 551060565 734747420 918434275 1001928300 1102121130 1836868550 2204242260 2755302825 3673737100 5510605650 11021211300