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155511412001 = 1129720176569
BaseRepresentation
bin1001000011010100110…
…0111101010100100001
3112212101212011020210222
42100311030331110201
510021441410141001
6155235125132425
714143501122551
oct2206514752441
9485355136728
10155511412001
115aa52157600
122618055a115
131188435a5aa
147753739161
1540a28a561b
hex243533d521

155511412001 has 24 divisors (see below), whose sum is σ = 172808160840. Its totient is φ = 139825889280.

The previous prime is 155511411977. The next prime is 155511412013. The reversal of 155511412001 is 100214115551.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 78427442401 + 77083969600 = 280049^2 + 277640^2 .

It is not a de Polignac number, because 155511412001 - 214 = 155511395617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (155511412201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23670245 + ... + 23676813.

It is an arithmetic number, because the mean of its divisors is an integer number (7200340035).

Almost surely, 2155511412001 is an apocalyptic number.

155511412001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

155511412001 is a deficient number, since it is larger than the sum of its proper divisors (17296748839).

155511412001 is a wasteful number, since it uses less digits than its factorization.

155511412001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 26.

Adding to 155511412001 its reverse (100214115551), we get a palindrome (255725527552).

The spelling of 155511412001 in words is "one hundred fifty-five billion, five hundred eleven million, four hundred twelve thousand, one".

Divisors: 1 11 97 121 1067 2017 6569 11737 22187 72259 195649 244057 637193 794849 2152139 7009123 13249673 23673529 77100353 145746403 1285218281 1603210433 14137401091 155511412001