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121302321100 = 225231210511201
BaseRepresentation
bin111000011111000101…
…1101000011111001100
3102121002202201101012021
41300332023220133030
53441411343233400
6131420413415524
711522661500632
oct1607613503714
9377082641167
10121302321100
1147497aa8254
121b613a9a5a4
13b591c5597c
145c2a2ad352
15324e4a371a
hex1c3e2e87cc

121302321100 has 108 divisors (see below), whose sum is σ = 272476586424. Its totient is φ = 46872000000.

The previous prime is 121302321089. The next prime is 121302321109. The reversal of 121302321100 is 1123203121.

121302321100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (121302321109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101000500 + ... + 101001700.

Almost surely, 2121302321100 is an apocalyptic number.

121302321100 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 121302321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136238293212).

121302321100 is an abundant number, since it is smaller than the sum of its proper divisors (151174265324).

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

121302321100 is a wasteful number, since it uses less digits than its factorization.

121302321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2290 counting only the distinct ones).

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

Adding to 121302321100 its reverse (1123203121), we get a palindrome (122425524221).

The spelling of 121302321100 in words is "one hundred twenty-one billion, three hundred two million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1051 1201 1550 1922 2102 2402 3100 3844 4204 4804 4805 5255 6005 9610 10510 12010 19220 21020 24020 24025 26275 30025 32581 37231 48050 52550 60050 65162 74462 96100 105100 120100 130324 148924 162905 186155 325810 372310 651620 744620 814525 930775 1010011 1154161 1262251 1629050 1861550 2020022 2308322 2524502 3258100 3723100 4040044 4616644 5049004 5050055 5770805 6311255 10100110 11541610 12622510 20200220 23083220 25245020 25250275 28854025 31556275 39129781 50500550 57708050 63112550 78259562 101001100 115416100 126225100 156519124 195648905 391297810 782595620 978244525 1213023211 1956489050 2426046422 3912978100 4852092844 6065116055 12130232110 24260464220 30325580275 60651160550 121302321100