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121561362 = 23213289449
BaseRepresentation
bin1110011111011…
…10000100010010
322110201221211200
413033232010102
5222104430422
620021252030
73004153206
oct717560422
9273657750
10121561362
116268893a
1234864016
131c252800
1412204b06
15aa132ac
hex73ee112

121561362 has 72 divisors (see below), whose sum is σ = 289048500. Its totient is φ = 36900864.

The previous prime is 121561361. The next prime is 121561367. The reversal of 121561362 is 263165121.

It can be written as a sum of positive squares in 6 ways, for example, as 9603801 + 111957561 = 3099^2 + 10581^2 .

It is not an unprimeable number, because it can be changed into a prime (121561361) 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, 270514 + ... + 270962.

Almost surely, 2121561362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121561362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144524250).

121561362 is an abundant number, since it is smaller than the sum of its proper divisors (167487138).

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

121561362 is a wasteful number, since it uses less digits than its factorization.

121561362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 556 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 121561362 is about 11025.4869280227. The cubic root of 121561362 is about 495.3724530792.

The spelling of 121561362 in words is "one hundred twenty-one million, five hundred sixty-one thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 169 178 234 267 338 449 507 534 801 898 1014 1157 1347 1521 1602 2314 2694 3042 3471 4041 5837 6942 8082 10413 11674 15041 17511 20826 30082 35022 39961 45123 52533 75881 79922 90246 105066 119883 135369 151762 227643 239766 270738 359649 455286 519493 682929 719298 1038986 1365858 1558479 3116958 4675437 6753409 9350874 13506818 20260227 40520454 60780681 121561362