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21220200020100 = 22352593734916231
BaseRepresentation
bin1001101001100101101100…
…11110111111100010000100
32210010122001020001221212210
410310302312132333202010
510240132432201120400
6113044231511143420
74320052224041544
oct464626636774204
983118036057783
1021220200020100
11684148877a214
12246874a074b70
13bac096839853
145350c5457324
1526bebd14c950
hex134cb67bf884

21220200020100 has 144 divisors (see below), whose sum is σ = 61512806678400. Its totient is φ = 5648060774400.

The previous prime is 21220200020099. The next prime is 21220200020147. The reversal of 21220200020100 is 102000202212.

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

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, 1307378985 + ... + 1307395215.

It is an arithmetic number, because the mean of its divisors is an integer number (427172268600).

Almost surely, 221220200020100 is an apocalyptic number.

21220200020100 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 21220200020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30756403339200).

21220200020100 is an abundant number, since it is smaller than the sum of its proper divisors (40292606658300).

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

21220200020100 is a wasteful number, since it uses less digits than its factorization.

21220200020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24190 (or 24183 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21220200020100 its reverse (102000202212), we get a palindrome (21322200222312).

The spelling of 21220200020100 in words is "twenty-one trillion, two hundred twenty billion, two hundred million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 593 1186 1779 2372 2965 3558 5930 7116 7349 8895 11860 14698 14825 16231 17790 22047 29396 29650 32462 35580 36745 44094 44475 48693 59300 64924 73490 81155 88188 88950 97386 110235 146980 162310 177900 183725 194772 220470 243465 324620 367450 405775 440940 486930 551175 734900 811550 973860 1102350 1217325 1623100 2204700 2434650 4357957 4869300 8715914 9624983 13073871 17431828 19249966 21789785 26147742 28874949 38499932 43579570 48124915 52295484 57749898 65369355 87159140 96249830 108948925 115499796 119281619 130738710 144374745 192499660 217897850 238563238 240624575 261477420 288749490 326846775 357844857 435795700 477126476 481249150 577498980 596408095 653693550 715689714 721873725 962498300 1192816190 1307387100 1431379428 1443747450 1789224285 2385632380 2887494900 2982040475 3578448570 5964080950 7156897140 8946121425 11928161900 17892242850 35784485700 70734000067 141468000134 212202000201 282936000268 353670000335 424404000402 707340000670 848808000804 1061010001005 1414680001340 1768350001675 2122020002010 3536700003350 4244040004020 5305050005025 7073400006700 10610100010050 21220200020100