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20212120222110 = 232512713211338637
BaseRepresentation
bin1001001100010000000000…
…01111101111100110011110
32122120021000102002021020100
410212020000033233212132
510122123410234101420
6110553153030401530
74154164116120255
oct446100017574636
978507012067210
1020212120222110
116492a03a33523
1223252b22002a6
13b37cc163b76b
144dc3b3cd379c
15250b6c3c7190
hex1262003ef99e

20212120222110 has 96 divisors (see below), whose sum is σ = 53005438467072. Its totient is φ = 5343406548480.

The previous prime is 20212120222087. The next prime is 20212120222193. The reversal of 20212120222110 is 1122202121202.

It is a happy number.

20212120222110 is a `hidden beast` number, since 2 + 0 + 212 + 120 + 222 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 14429712 + ... + 15768348.

It is an arithmetic number, because the mean of its divisors is an integer number (552139984032).

Almost surely, 220212120222110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212120222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26502719233536).

20212120222110 is an abundant number, since it is smaller than the sum of its proper divisors (32793318244962).

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

20212120222110 is a wasteful number, since it uses less digits than its factorization.

20212120222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340098 (or 1340095 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20212120222110 its reverse (1122202121202), we get a palindrome (21334322343312).

The spelling of 20212120222110 in words is "twenty trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1321 1905 2286 2642 3810 3963 5715 6605 7926 11430 11889 13210 19815 23778 39630 59445 118890 167767 335534 503301 838835 1006602 1338637 1509903 1677670 2516505 2677274 3019806 4015911 5033010 6693185 7549515 8031822 12047733 13386370 15099030 20079555 24095466 40159110 60238665 120477330 170006899 340013798 510020697 850034495 1020041394 1530062091 1700068990 1768339477 2550103485 3060124182 3536678954 5100206970 5305018431 7650310455 8841697385 10610036862 15300620910 15915055293 17683394770 26525092155 31830110586 53050184310 79575276465 159150552930 224579113579 449158227158 673737340737 1122895567895 1347474681474 2021212022211 2245791135790 3368686703685 4042424044422 6737373407370 10106060111055 20212120222110