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211200220011000 = 23353116400006667
BaseRepresentation
bin110000000001010111100010…
…000101110001100111111000
31000200210112200110120010201210
4300001113202011301213320
5210140301022310323000
62025104012554443120
762325466223515503
oct6001274205614770
91020715613503653
10211200220011000
1161327568243a30
121b8300264334a0
1390b013147480c
143a2220658c13a
151963c0817b350
hexc015e21719f8

211200220011000 has 128 divisors (see below), whose sum is σ = 718848748949760. Its totient is φ = 51200053328000.

The previous prime is 211200220010977. The next prime is 211200220011017. The reversal of 211200220011000 is 110022002112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3199970334 + ... + 3200036333.

It is an arithmetic number, because the mean of its divisors is an integer number (5616005851170).

Almost surely, 2211200220011000 is an apocalyptic number.

211200220011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200220011000 is an abundant number, since it is smaller than the sum of its proper divisors (507648528938760).

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

211200220011000 is a wasteful number, since it uses less digits than its factorization.

211200220011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400006702 (or 6400006688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211200220011000 its reverse (110022002112), we get a palindrome (211310242013112).

The spelling of 211200220011000 in words is "two hundred eleven trillion, two hundred billion, two hundred twenty million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 6400006667 12800013334 19200020001 25600026668 32000033335 38400040002 51200053336 64000066670 70400073337 76800080004 96000100005 128000133340 140800146674 153600160008 160000166675 192000200010 211200220011 256000266680 281600293348 320000333350 352000366685 384000400020 422400440022 480000500025 563200586696 640000666700 704000733370 768000800040 800000833375 844800880044 960001000050 1056001100055 1280001333400 1408001466740 1600001666750 1689601760088 1760001833425 1920002000100 2112002200110 2400002500125 2816002933480 3200003333500 3520003666850 3840004000200 4224004400220 4800005000250 5280005500275 6400006667000 7040007333700 8448008800440 8800009167125 9600010000500 10560011000550 14080014667400 17600018334250 19200020001000 21120022001100 26400027501375 35200036668500 42240044002200 52800055002750 70400073337000 105600110005500 211200220011000