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541000103012145 = 32574519737999439
BaseRepresentation
bin111101100000010010110011…
…0111101101010011100110001
32121221112002211100202122022200
41323000211212331222130301
51031402221202332342040
65154340003304253413
7221644652612406420
oct17300454675523461
92557462740678280
10541000103012145
11147419945341337
125081553ba71269
131a2b41246837ca
14978478a9152b7
1542829c2e2d630
hex1ec0966f6a731

541000103012145 has 48 divisors (see below), whose sum is σ = 1071719182010880. Its totient is φ = 247308854378112.

The previous prime is 541000103012143. The next prime is 541000103012183. The reversal of 541000103012145 is 541210301000145.

541000103012145 is a `hidden beast` number, since 5 + 410 + 0 + 0 + 1 + 0 + 30 + 1 + 214 + 5 = 666.

It is not a de Polignac number, because 541000103012145 - 21 = 541000103012143 is a prime.

It is a super-2 number, since 2×5410001030121452 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541000103012143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4762665 + ... + 33236774.

It is an arithmetic number, because the mean of its divisors is an integer number (22327482958560).

Almost surely, 2541000103012145 is an apocalyptic number.

It is an amenable number.

541000103012145 is a deficient number, since it is larger than the sum of its proper divisors (530719078998735).

541000103012145 is a wasteful number, since it uses less digits than its factorization.

541000103012145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38044654 (or 38044651 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 541000103012145 in words is "five hundred forty-one trillion, one hundred three million, twelve thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 45197 135591 225985 316379 406773 677955 949137 1581895 2033865 2847411 4745685 14237055 37999439 113998317 189997195 265996073 341994951 569991585 797988219 1329980365 1709974755 2393964657 3989941095 11969823285 1717460644483 5152381933449 8587303222415 12022224511381 15457145800347 25761909667245 36066673534143 60111122556905 77285729001735 108200020602429 180333367670715 541000103012145