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355541000103 = 3437281443953
BaseRepresentation
bin1010010110001111110…
…01010001111110100111
31020222201021010011120000
411023013321101332213
521311121444000403
6431155553312343
734454431431342
oct5130771217647
91228637104500
10355541000103
11127869697783
1258aa5b656b3
13276b1839103
14132cb71d459
1593ad7217a3
hex52c7e51fa7

355541000103 has 80 divisors (see below), whose sum is σ = 549223890336. Its totient is φ = 229041146880.

The previous prime is 355541000077. The next prime is 355541000117. The reversal of 355541000103 is 301000145553.

355541000103 is a `hidden beast` number, since 3 + 5 + 554 + 1 + 0 + 0 + 0 + 103 = 666.

It is not a de Polignac number, because 355541000103 - 212 = 355540996007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355541000803) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 373075075 + ... + 373076027.

Almost surely, 2355541000103 is an apocalyptic number.

355541000103 is a deficient number, since it is larger than the sum of its proper divisors (193682890233).

355541000103 is a wasteful number, since it uses less digits than its factorization.

355541000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 355541000103 its reverse (301000145553), we get a palindrome (656541145656).

The spelling of 355541000103 in words is "three hundred fifty-five billion, five hundred forty-one million, one hundred three", and thus it is an aban number.

Divisors: 1 3 9 27 37 81 111 281 333 443 843 953 999 1329 2529 2859 2997 3987 7587 8577 10397 11961 16391 22761 25731 31191 35261 35883 49173 77193 93573 105783 124483 147519 267793 280719 317349 373449 422179 442557 803379 842157 952047 1120347 1266537 1327671 2410137 2856141 3361041 3799611 4605871 7230411 9908341 10083123 11398833 13817613 15620623 21691233 29725023 34196499 41452839 46861869 89175069 118632299 124358517 140585607 267525207 355896897 373075551 421756821 802575621 1067690691 1265270463 3203072073 4389395063 9609216219 13168185189 39504555567 118513666701 355541000103