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121334202 = 2321121729113
BaseRepresentation
bin1110011101101…
…10100110111010
322110022102020100
413032312212322
5222030143302
620012340230
73002216013
oct716664672
9273272210
10121334202
1162543200
1234774676
131c1a32b2
141218600a
15a9bad1c
hex73b69ba

121334202 has 144 divisors (see below), whose sum is σ = 319311720. Its totient is φ = 33116160.

The previous prime is 121334189. The next prime is 121334203. The reversal of 121334202 is 202433121.

It can be written as a sum of positive squares in 4 ways, for example, as 87216921 + 34117281 = 9339^2 + 5841^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121334203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1073698 + ... + 1073810.

Almost surely, 2121334202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121334202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159655860).

121334202 is an abundant number, since it is smaller than the sum of its proper divisors (197977518).

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

121334202 is a wasteful number, since it uses less digits than its factorization.

121334202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 121334202 is about 11015.1805250754. The cubic root of 121334202 is about 495.0636955072.

Adding to 121334202 its reverse (202433121), we get a palindrome (323767323).

The spelling of 121334202 in words is "one hundred twenty-one million, three hundred thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 11 17 18 22 29 33 34 51 58 66 87 99 102 113 121 153 174 187 198 226 242 261 306 319 339 363 374 493 522 561 638 678 726 957 986 1017 1089 1122 1243 1479 1683 1914 1921 2034 2057 2178 2486 2871 2958 3277 3366 3509 3729 3842 4114 4437 5423 5742 5763 6171 6554 7018 7458 8874 9831 10527 10846 11187 11526 12342 13673 16269 17289 18513 19662 21054 21131 22374 27346 29493 31581 32538 34578 36047 37026 41019 42262 48807 55709 58986 59653 63162 63393 72094 82038 97614 108141 111418 119306 123057 126786 167127 178959 190179 216282 232441 246114 324423 334254 357918 380358 396517 464882 501381 536877 612799 648846 697323 793034 1002762 1073754 1189551 1225598 1394646 1838397 2091969 2379102 3568653 3676794 4183938 5515191 6740789 7137306 11030382 13481578 20222367 40444734 60667101 121334202