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11200221220200 = 2335235951997313
BaseRepresentation
bin1010001011111100000100…
…1101010000110101101000
31110122201201200012111212120
42202333001031100311220
52432001023113021300
635453151031111240
72234121631365225
oct242770115206550
943581650174776
1011200221220200
113628a94987121
12130a817512520
1363323a51a14c
142aa144ba094c
1514652427a3a0
hexa2fc1350d68

11200221220200 has 96 divisors (see below), whose sum is σ = 34817401454400. Its totient is φ = 2978406031360.

The previous prime is 11200221220193. The next prime is 11200221220217. The reversal of 11200221220200 is 202212200211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11200221220200.

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, 25783257 + ... + 26214056.

It is an arithmetic number, because the mean of its divisors is an integer number (362681265150).

Almost surely, 211200221220200 is an apocalyptic number.

11200221220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200221220200 is an abundant number, since it is smaller than the sum of its proper divisors (23617180234200).

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

11200221220200 is a wasteful number, since it uses less digits than its factorization.

11200221220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51997691 (or 51997682 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11200221220200 its reverse (202212200211), we get a palindrome (11402433420411).

The spelling of 11200221220200 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 359 600 718 1077 1436 1795 2154 2872 3590 4308 5385 7180 8616 8975 10770 14360 17950 21540 26925 35900 43080 53850 71800 107700 215400 51997313 103994626 155991939 207989252 259986565 311983878 415978504 519973130 623967756 779959695 1039946260 1247935512 1299932825 1559919390 2079892520 2599865650 3119838780 3899798475 5199731300 6239677560 7799596950 10399462600 15599193900 18667035367 31198387800 37334070734 56001106101 74668141468 93335176835 112002212202 149336282936 186670353670 224004424404 280005530505 373340707340 448008848808 466675884175 560011061010 746681414680 933351768350 1120022122020 1400027652525 1866703536700 2240044244040 2800055305050 3733407073400 5600110610100 11200221220200