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121363356345 = 35711244321563
BaseRepresentation
bin111000100000111010…
…0011101101010111001
3102121021000120021210220
41301001310131222321
53442023004400340
6131430433530253
711524332336150
oct1610164355271
9377230507726
10121363356345
11475194a5a00
121b630413989
13b5a17a5bba
145c3443a597
153254a0ced0
hex1c41d1dab9

121363356345 has 96 divisors (see below), whose sum is σ = 244492286976. Its totient is φ = 50320533120.

The previous prime is 121363356319. The next prime is 121363356347. The reversal of 121363356345 is 543653363121.

It is not a de Polignac number, because 121363356345 - 26 = 121363356281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121363356297 and 121363356306.

It is not an unprimeable number, because it can be changed into a prime (121363356347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5617534 + ... + 5639096.

It is an arithmetic number, because the mean of its divisors is an integer number (2546794656).

Almost surely, 2121363356345 is an apocalyptic number.

121363356345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121363356345 is an abundant number, since it is smaller than the sum of its proper divisors (123128930631).

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

121363356345 is a wasteful number, since it uses less digits than its factorization.

121363356345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22043 (or 22032 counting only the distinct ones).

The product of its digits is 583200, while the sum is 42.

The spelling of 121363356345 in words is "one hundred twenty-one billion, three hundred sixty-three million, three hundred fifty-six thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 443 605 847 1155 1329 1815 2215 2541 3101 4235 4873 6645 9303 12705 14619 15505 21563 24365 34111 46515 53603 64689 73095 102333 107815 150941 160809 170555 237193 268015 323445 375221 452823 511665 711579 754705 804045 1125663 1185965 1660351 1876105 2264115 2609123 3557895 4981053 5628315 7827369 8301755 9552409 13045615 18263861 24905265 28657227 39136845 47762045 54791583 66866863 91319305 105076499 143286135 200600589 273957915 315229497 334334315 525382495 735535493 1003002945 1155841489 1576147485 2206606479 3467524467 3677677465 5779207445 8090890423 11033032395 17337622335 24272671269 40454452115 121363356345