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22220101120100 = 225213671478317257
BaseRepresentation
bin1010000110101100001010…
…01110111111000001100100
32220200012222001101202001212
411003112011032333001210
510403023231341320400
6115131435030010552
74452230551126442
oct503260516770144
986605861352055
1022220101120100
117097545895074
1225aa4a2aa6a58
13c52467488480
1456b65c6b7b92
15287ee0d7a335
hex1435853bf064

22220101120100 has 144 divisors (see below), whose sum is σ = 52708311118848. Its totient is φ = 8080877122560.

The previous prime is 22220101120067. The next prime is 22220101120103. The reversal of 22220101120100 is 102110102222.

It is not an unprimeable number, because it can be changed into a prime (22220101120103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1287590672 + ... + 1287607928.

Almost surely, 222220101120100 is an apocalyptic number.

22220101120100 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 22220101120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26354155559424).

22220101120100 is an abundant number, since it is smaller than the sum of its proper divisors (30488209998748).

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

22220101120100 is a wasteful number, since it uses less digits than its factorization.

22220101120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32134 (or 32127 counting only the distinct ones).

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

Adding to 22220101120100 its reverse (102110102222), we get a palindrome (22322211222322).

The spelling of 22220101120100 in words is "twenty-two trillion, two hundred twenty billion, one hundred one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 67 100 130 134 260 268 325 335 650 670 871 1300 1340 1675 1742 3350 3484 4355 6700 8710 14783 17257 17420 21775 29566 34514 43550 59132 69028 73915 86285 87100 147830 172570 192179 224341 295660 345140 369575 384358 431425 448682 739150 768716 862850 897364 960895 990461 1121705 1156219 1478300 1725700 1921790 1980922 2243410 2312438 3843580 3961844 4486820 4624876 4804475 4952305 5608525 5781095 9608950 9904610 11217050 11562190 12875993 15030847 19217900 19809220 22434100 23124380 24761525 25751986 28905475 30061694 49523050 51503972 57810950 60123388 64379965 75154235 99046100 115621900 128759930 150308470 255110231 257519860 300616940 321899825 375771175 510220462 643799650 751542350 1020440924 1275551155 1287599300 1503084700 2551102310 3316433003 5102204620 6377755775 6632866006 12755511550 13265732012 16582165015 17092385477 25511023100 33164330030 34184770954 66328660060 68369541908 82910825075 85461927385 165821650150 170923854770 222201011201 331643300300 341847709540 427309636925 444402022402 854619273850 888804044804 1111005056005 1709238547700 2222010112010 4444020224020 5555025280025 11110050560050 22220101120100