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121342566345 = 3574111323561
BaseRepresentation
bin111000100000010010…
…1001001111111001001
3102121012120110001021220
41301000211021333021
53442002144110340
6131424412152253
711523660540000
oct1610045117711
9377176401256
10121342566345
1147508796090
121b625468689
13b59a3a7020
145c31787c37
153252ca2ed0
hex1c40949fc9

121342566345 has 160 divisors (see below), whose sum is σ = 266100557184. Its totient is φ = 46547020800.

The previous prime is 121342566337. The next prime is 121342566379. The reversal of 121342566345 is 543665243121.

It is not a de Polignac number, because 121342566345 - 23 = 121342566337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121342566297 and 121342566306.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 5138365 + ... + 5161925.

Almost surely, 2121342566345 is an apocalyptic number.

121342566345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121342566345 is an abundant number, since it is smaller than the sum of its proper divisors (144757990839).

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

121342566345 is a wasteful number, since it uses less digits than its factorization.

121342566345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23621 (or 23600 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 121342566345 in words is "one hundred twenty-one billion, three hundred forty-two million, five hundred sixty-six thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 49 55 65 77 91 105 143 147 165 195 231 245 273 343 385 429 455 539 637 715 735 1001 1029 1155 1365 1617 1715 1911 2145 2401 2695 3003 3185 3773 4459 5005 5145 7007 7203 8085 9555 11319 12005 13377 15015 18865 21021 22295 23561 26411 31213 35035 36015 49049 56595 66885 70683 79233 93639 105105 117805 132055 147147 156065 164927 245245 259171 306293 343343 353415 396165 468195 494781 735735 777513 824635 918879 1030029 1154489 1295855 1531465 1716715 1814197 2144051 2473905 3369223 3463467 3887565 4594395 5150145 5442591 5772445 6432153 8081423 9070985 10107669 10720255 12699379 15008357 16846115 17317335 23584561 24244269 27212955 32160765 38098137 40407115 45025071 50538345 56569961 63496895 70753683 75041785 88895653 105058499 117922805 121221345 165091927 169709883 190490685 225125355 266686959 282849805 315175497 353768415 444478265 495275781 525292495 622269571 735409493 825459635 848549415 1155643489 1333434795 1575877485 1866808713 2206228479 2476378905 3111347855 3466930467 3677047465 5778217445 8089504423 9334043565 11031142395 17334652335 24268513269 40447522115 121342566345