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121223301100 = 2252118310911217
BaseRepresentation
bin111000011100101111…
…0001100011111101100
3102120220021000202010121
41300321132030133230
53441231131113400
6131404512014324
711521012025626
oct1607136143754
9376807022117
10121223301100
1147457436370
121b5b15313a4
13b57b779685
145c1d9bdc16
15324759521a
hex1c3978c7ec

121223301100 has 144 divisors (see below), whose sum is σ = 290931129216. Its totient is φ = 43474432000.

The previous prime is 121223301071. The next prime is 121223301103. The reversal of 121223301100 is 1103322121.

It is a super-2 number, since 2×1212233011002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121223301103) 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, 99607692 + ... + 99608908.

It is an arithmetic number, because the mean of its divisors is an integer number (2020355064).

Almost surely, 2121223301100 is an apocalyptic number.

121223301100 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 121223301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145465564608).

121223301100 is an abundant number, since it is smaller than the sum of its proper divisors (169707828116).

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

121223301100 is a wasteful number, since it uses less digits than its factorization.

121223301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121223301100 its reverse (1103322121), we get a palindrome (122326623221).

The spelling of 121223301100 in words is "one hundred twenty-one billion, two hundred twenty-three million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 275 332 415 550 830 913 1091 1100 1217 1660 1826 2075 2182 2434 3652 4150 4364 4565 4868 5455 6085 8300 9130 10910 12001 12170 13387 18260 21820 22825 24002 24340 26774 27275 30425 45650 48004 53548 54550 60005 60850 66935 90553 91300 101011 109100 120010 121700 133870 181106 202022 240020 267740 300025 334675 362212 404044 452765 505055 600050 669350 905530 996083 1010110 1111121 1200100 1327747 1338700 1811060 1992166 2020220 2222242 2263825 2525275 2655494 3984332 4444484 4527650 4980415 5050550 5310988 5555605 6638735 9055300 9960830 10101100 11111210 13277470 14605217 19921660 22222420 24902075 26554940 27778025 29210434 33193675 49804150 55556050 58420868 66387350 73026085 99608300 110203001 111112100 132774700 146052170 220406002 292104340 365130425 440812004 551015005 730260850 1102030010 1212233011 1460521700 2204060020 2424466022 2755075025 4848932044 5510150050 6061165055 11020300100 12122330110 24244660220 30305825275 60611650550 121223301100