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20222121100100 = 225217311571244253
BaseRepresentation
bin1001001100100010101000…
…10110000100001101000100
32122121012211101111111201212
410212101110112010031010
510122304401000200400
6111001525244110552
74155000004150043
oct446212426041504
978535741444655
1020222121100100
116497176198147
122327223535458
13b38c2657574a
144dca8220455a
152510553aa335
hex126454584344

20222121100100 has 144 divisors (see below), whose sum is σ = 47992839261696. Its totient is φ = 7362732288000.

The previous prime is 20222121100079. The next prime is 20222121100171. The reversal of 20222121100100 is 100112122202.

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, 82669574 + ... + 82913826.

It is an arithmetic number, because the mean of its divisors is an integer number (333283605984).

Almost surely, 220222121100100 is an apocalyptic number.

20222121100100 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 20222121100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23996419630848).

20222121100100 is an abundant number, since it is smaller than the sum of its proper divisors (27770718161596).

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

20222121100100 is a wasteful number, since it uses less digits than its factorization.

20222121100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245886 (or 245879 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20222121100100 its reverse (100112122202), we get a palindrome (20322233222302).

The spelling of 20222121100100 in words is "twenty trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 310 340 425 527 620 775 850 1054 1550 1571 1700 2108 2635 3100 3142 5270 6284 7855 10540 13175 15710 26350 26707 31420 39275 48701 52700 53414 78550 97402 106828 133535 157100 194804 243505 244253 267070 487010 488506 534140 667675 827917 974020 977012 1217525 1221265 1335350 1655834 2435050 2442530 2670700 3311668 4139585 4152301 4870100 4885060 6106325 7571843 8279170 8304602 12212650 15143686 16558340 16609204 20697925 20761505 24425300 30287372 37859215 41395850 41523010 75718430 82791700 83046020 103807525 128721331 151436860 189296075 207615050 257442662 378592150 383721463 415230100 514885324 643606655 757184300 767442926 1287213310 1534885852 1918607315 2574426620 3218033275 3837214630 6436066550 6523264871 7674429260 9593036575 11895365353 12872133100 13046529742 19186073150 23790730706 26093059484 32616324355 38372146300 47581461412 59476826765 65232648710 118953653530 130465297420 163081621775 202221211001 237907307060 297384133825 326163243550 404442422002 594768267650 652326487100 808884844004 1011106055005 1189536535300 2022212110010 4044424220020 5055530275025 10111060550050 20222121100100