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45221231120 = 24513109398917
BaseRepresentation
bin101010000111011001…
…010011101000010000
311022201112201120002212
4222013121103220100
51220103113343440
632435131531252
73160424056652
oct520731235020
9138645646085
1045221231120
11181a622a28a
1289205b9b28
1343589c0030
14228dbba6d2
15129a08d465
hexa87653a10

45221231120 has 80 divisors (see below), whose sum is σ = 114266071920. Its totient is φ = 16543844352.

The previous prime is 45221231119. The next prime is 45221231147. The reversal of 45221231120 is 2113212254.

It can be written as a sum of positive squares in 8 ways, for example, as 2910386704 + 42310844416 = 53948^2 + 205696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×452212311203 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86099 + ... + 312818.

It is an arithmetic number, because the mean of its divisors is an integer number (1428325899).

Almost surely, 245221231120 is an apocalyptic number.

45221231120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45221231120 is an abundant number, since it is smaller than the sum of its proper divisors (69044840800).

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

45221231120 is a wasteful number, since it uses less digits than its factorization.

45221231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399052 (or 399046 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 45221231120 its reverse (2113212254), we get a palindrome (47334443374).

The spelling of 45221231120 in words is "forty-five billion, two hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 208 218 260 436 520 545 872 1040 1090 1417 1744 2180 2834 4360 5668 7085 8720 11336 14170 22672 28340 56680 113360 398917 797834 1595668 1994585 3191336 3989170 5185921 6382672 7978340 10371842 15956680 20743684 25929605 31913360 41487368 43481953 51859210 82974736 86963906 103718420 173927812 207436840 217409765 347855624 414873680 434819530 565265389 695711248 869639060 1130530778 1739278120 2261061556 2826326945 3478556240 4522123112 5652653890 9044246224 11305307780 22610615560 45221231120