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121761231345 = 33513123756087
BaseRepresentation
bin111000101100110001…
…0001111000111110001
3102122021202020102201000
41301121202033013301
53443331333400340
6131534125432213
711540233250445
oct1613142170761
9378252212630
10121761231345
114770304a316
121b72170b669
13b6360521b0
145c7120a825
153279901d30
hex1c5988f1f1

121761231345 has 64 divisors (see below), whose sum is σ = 233308131840. Its totient is φ = 59894463744.

The previous prime is 121761231343. The next prime is 121761231401. The reversal of 121761231345 is 543132167121.

121761231345 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 612 + 3 + 1 + 34 + 5 = 666.

It is not a de Polignac number, because 121761231345 - 21 = 121761231343 is a prime.

It is a super-2 number, since 2×1217612313452 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121761231343) 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 63 ways as a sum of consecutive naturals, for example, 2142892 + ... + 2198978.

It is an arithmetic number, because the mean of its divisors is an integer number (3645439560).

Almost surely, 2121761231345 is an apocalyptic number.

121761231345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121761231345 is a deficient number, since it is larger than the sum of its proper divisors (111546900495).

121761231345 is a wasteful number, since it uses less digits than its factorization.

121761231345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57351 (or 57345 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 121761231345 its reverse (543132167121), we get a palindrome (664893398466).

The spelling of 121761231345 in words is "one hundred twenty-one billion, seven hundred sixty-one million, two hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1237 1755 3711 6185 11133 16081 18555 33399 48243 55665 56087 80405 144729 166995 168261 241215 280435 434187 504783 723645 729131 841305 1514349 2170935 2187393 2523915 3645655 6562179 7571745 10936965 19686537 32810895 69379619 98432685 208138857 346898095 624416571 901935047 1040694285 1873249713 2705805141 3122082855 4509675235 8117415423 9366248565 13529025705 24352246269 40587077115 121761231345