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201220020211110 = 235292292069488153
BaseRepresentation
bin101101110000001000101111…
…110100111000110110100110
3222101110110001011220021020020
4231300020233310320312212
5202333242100133223420
61551543111240420010
760245444453103135
oct5560105764706646
9871413034807206
10201220020211110
1159129a2768335a
121a699955777606
138837c744a9a44
14379915adb591c
15183e2db689340
hexb7022fd38da6

201220020211110 has 128 divisors (see below), whose sum is σ = 502005857904000. Its totient is φ = 51557099016192.

The previous prime is 201220020211097. The next prime is 201220020211151. The reversal of 201220020211110 is 11112020022102.

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 201220020211110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411962794 + ... + 412450946.

It is an arithmetic number, because the mean of its divisors is an integer number (3921920764875).

Almost surely, 2201220020211110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220020211110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251002928952000).

201220020211110 is an abundant number, since it is smaller than the sum of its proper divisors (300785837692890).

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

201220020211110 is a wasteful number, since it uses less digits than its factorization.

201220020211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490490.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201220020211110 its reverse (11112020022102), we get a palindrome (212332040233212).

The spelling of 201220020211110 in words is "two hundred one trillion, two hundred twenty billion, twenty million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 229 290 435 458 687 870 1145 1374 2069 2290 3435 4138 6207 6641 6870 10345 12414 13282 19923 20690 31035 33205 39846 60001 62070 66410 99615 120002 180003 199230 300005 360006 473801 488153 600010 900015 947602 976306 1421403 1464459 1800030 2369005 2440765 2842806 2928918 4738010 4881530 7107015 7322295 13740229 14156437 14214030 14644590 27480458 28312874 41220687 42469311 68701145 70782185 82441374 84938622 111787037 137402290 141564370 206103435 212346555 223574074 335361111 412206870 424693110 558935185 670722222 1009988557 1117870370 1676805555 2019977114 3029965671 3241824073 3353611110 5049942785 6059931342 6483648146 9725472219 10099885570 15149828355 16209120365 19450944438 29289668153 30299656710 32418240730 48627361095 58579336306 87869004459 97254722190 146448340765 175738008918 231287379553 292896681530 439345022295 462574759106 693862138659 878690044590 1156436897765 1387724277318 2312873795530 3469310693295 6707334007037 6938621386590 13414668014074 20122002021111 33536670035185 40244004042222 67073340070370 100610010105555 201220020211110