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121433423100 = 2235211143325679
BaseRepresentation
bin111000100010111111…
…1101111110011111100
3102121102220102001022220
41301011333233303330
53442143424014400
6131441415405340
711526143031333
oct1610577576374
9377386361286
10121433423100
1147555002110
121b64b983850
13b5b3168c12
145c3d878d1a
15325ac4d7a0
hex1c45fefcfc

121433423100 has 144 divisors (see below), whose sum is σ = 383570449920. Its totient is φ = 29416716800.

The previous prime is 121433423063. The next prime is 121433423123. The reversal of 121433423100 is 1324334121.

It is a happy number.

It is a super-2 number, since 2×1214334231002 (a number of 23 digits) contains 22 as substring.

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, 4716061 + ... + 4741739.

It is an arithmetic number, because the mean of its divisors is an integer number (2663683680).

Almost surely, 2121433423100 is an apocalyptic number.

121433423100 is a gapful number since it is divisible by the number (10) 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 121433423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191785224960).

121433423100 is an abundant number, since it is smaller than the sum of its proper divisors (262137026820).

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

121433423100 is a wasteful number, since it uses less digits than its factorization.

121433423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27140 (or 27133 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 121433423100 its reverse (1324334121), we get a palindrome (122757757221).

The spelling of 121433423100 in words is "one hundred twenty-one billion, four hundred thirty-three million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1433 1650 2866 3300 4299 5732 7165 8598 14330 15763 17196 21495 25679 28660 31526 35825 42990 47289 51358 63052 71650 77037 78815 85980 94578 102716 107475 128395 143300 154074 157630 189156 214950 236445 256790 282469 308148 315260 385185 394075 429900 472890 513580 564938 641975 770370 788150 847407 945780 1129876 1182225 1283950 1412345 1540740 1576300 1694814 1925925 2364450 2567900 2824690 3389628 3851850 4237035 4728900 5649380 7061725 7703700 8474070 14123450 16948140 21185175 28246900 36798007 42370350 73596014 84740700 110394021 147192028 183990035 220788042 367980070 404778077 441576084 551970105 735960140 809556154 919950175 1103940210 1214334231 1619112308 1839900350 2023890385 2207880420 2428668462 2759850525 3679800700 4047780770 4857336924 5519701050 6071671155 8095561540 10119451925 11039402100 12143342310 20238903850 24286684620 30358355775 40477807700 60716711550 121433423100