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45121204511220 = 223517182324265757
BaseRepresentation
bin10100100001001100110010…
…10111011110000111110100
312220202112201022201020222210
422100212121113132013310
521403231211323324340
6235544221210053420
712334620340125615
oct1220463127360764
9186675638636883
1045121204511220
1113416882703872
12508896011a270
131c23bb0259a06
14b1dc4114dc0c
15533a8d021180
hex2909995de1f4

45121204511220 has 96 divisors (see below), whose sum is σ = 133844485598208. Its totient is φ = 11318325102592.

The previous prime is 45121204511209. The next prime is 45121204511269. The reversal of 45121204511220 is 2211540212154.

45121204511220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10273419 + ... + 13992338.

It is an arithmetic number, because the mean of its divisors is an integer number (1394213391648).

Almost surely, 245121204511220 is an apocalyptic number.

It is an amenable number.

45121204511220 is an abundant number, since it is smaller than the sum of its proper divisors (88723281086988).

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

45121204511220 is a wasteful number, since it uses less digits than its factorization.

45121204511220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24267609 (or 24267607 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 45121204511220 its reverse (2211540212154), we get a palindrome (47332744723374).

The spelling of 45121204511220 in words is "forty-five trillion, one hundred twenty-one billion, two hundred four million, five hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1823 3646 5469 7292 9115 10938 18230 21876 27345 30991 36460 54690 61982 92973 109380 123964 154955 185946 309910 371892 464865 619820 929730 1859460 24265757 48531514 72797271 97063028 121328785 145594542 242657570 291189084 363986355 412517869 485315140 727972710 825035738 1237553607 1455945420 1650071476 2062589345 2475107214 4125178690 4950214428 6187768035 8250357380 12375536070 24751072140 44236475011 88472950022 132709425033 176945900044 221182375055 265418850066 442364750110 530837700132 663547125165 752020075187 884729500220 1327094250330 1504040150374 2256060225561 2654188500660 3008080300748 3760100375935 4512120451122 7520200751870 9024240902244 11280301127805 15040401503740 22560602255610 45121204511220