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12301011300440 = 23523106071260551
BaseRepresentation
bin1011001100000000110101…
…1010001011000001011000
31121112222001121221111221102
42303000031122023001120
53103014432343103230
642055001230530532
72406501345602552
oct263001532130130
947488047844842
1012301011300440
113a12914213095
121468027966a48
136b2c98bb4105
1430752d1704d2
15164e9e294045
hexb300d68b058

12301011300440 has 64 divisors (see below), whose sum is σ = 28883380930560. Its totient is φ = 4706026441600.

The previous prime is 12301011300373. The next prime is 12301011300491. The reversal of 12301011300440 is 4400311010321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9128165 + ... + 10388715.

It is an arithmetic number, because the mean of its divisors is an integer number (451302827040).

Almost surely, 212301011300440 is an apocalyptic number.

12301011300440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12301011300440 is an abundant number, since it is smaller than the sum of its proper divisors (16582369630120).

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

12301011300440 is a wasteful number, since it uses less digits than its factorization.

12301011300440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271192 (or 1271188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12301011300440 its reverse (4400311010321), we get a palindrome (16701322310761).

The spelling of 12301011300440 in words is "twelve trillion, three hundred one billion, eleven million, three hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 10607 21214 42428 53035 84856 106070 212140 243961 424280 487922 975844 1219805 1260551 1951688 2439610 2521102 4879220 5042204 6302755 9758440 10084408 12605510 25211020 28992673 50422040 57985346 115970692 144963365 231941384 289926730 579853460 1159706920 13370664457 26741328914 53482657828 66853322285 106965315656 133706644570 267413289140 307525282511 534826578280 615050565022 1230101130044 1537626412555 2460202260088 3075252825110 6150505650220 12301011300440