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211120202221000 = 2353239973920399
BaseRepresentation
bin110000000000001101000000…
…101010001000010111001000
31000200111220010212222020102221
4300000031000222020113020
5210132443133232033000
62025003140523503424
762316634264521142
oct6000150052102710
91020456125866387
10211120202221000
11612a6636296a76
121b818614687b74
1390a571b751497
143a1c3b5301c92
151961ac334661a
hexc00340a885c8

211120202221000 has 128 divisors (see below), whose sum is σ = 515552708736000. Its totient is φ = 80768237932800.

The previous prime is 211120202220997. The next prime is 211120202221051. The reversal of 211120202221000 is 122202021112.

It is a happy 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, 228918801 + ... + 229839199.

It is an arithmetic number, because the mean of its divisors is an integer number (4027755537000).

Almost surely, 2211120202221000 is an apocalyptic number.

211120202221000 is a gapful number since it is divisible by the number (20) 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 211120202221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257776354368000).

211120202221000 is an abundant number, since it is smaller than the sum of its proper divisors (304432506515000).

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

211120202221000 is a wasteful number, since it uses less digits than its factorization.

211120202221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930416 (or 930402 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211120202221000 its reverse (122202021112), we get a palindrome (211242404242112).

The spelling of 211120202221000 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2875 4600 5750 9973 11500 19946 23000 39892 49865 79784 99730 199460 229379 249325 398920 458758 498650 917516 920399 997300 1146895 1246625 1835032 1840798 1994600 2293790 2493250 3681596 4587580 4601995 4986500 5734475 7363192 9175160 9203990 9973000 11468950 18407980 21169177 22937900 23009975 28672375 36815960 42338354 45875800 46019950 57344750 84676708 92039900 105845885 114689500 115049875 169353416 184079800 211691770 229379000 230099750 423383540 460199500 529229425 846767080 920399000 1058458850 2116917700 2646147125 4233835400 5292294250 9179139227 10584588500 18358278454 21169177000 36716556908 45895696135 73433113816 91791392270 183582784540 211120202221 229478480675 367165569080 422240404442 458956961350 844480808884 917913922700 1055601011105 1147392403375 1688961617768 1835827845400 2111202022210 2294784806750 4222404044420 4589569613500 5278005055525 8444808088840 9179139227000 10556010111050 21112020222100 26390025277625 42224040444200 52780050555250 105560101110500 211120202221000