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103133103201 = 3379359134683
BaseRepresentation
bin110000000001100110…
…1100100010001100001
3100212012112010110212000
41200003031210101201
53142204033300301
6115213444154213
710310506625112
oct1400315442141
9325175113760
10103133103201
113a813a47997
1217ba3098969
13995795806b
144dc51d4209
152a39321786
hex1803364461

103133103201 has 32 divisors (see below), whose sum is σ = 155155968000. Its totient is φ = 67695483024.

The previous prime is 103133103173. The next prime is 103133103209. The reversal of 103133103201 is 102301331301.

It is a happy number.

103133103201 is a `hidden beast` number, since 1 + 0 + 31 + 3 + 310 + 320 + 1 = 666.

It is not a de Polignac number, because 103133103201 - 223 = 103124714593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103133103209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698406 + ... + 833088.

It is an arithmetic number, because the mean of its divisors is an integer number (4848624000).

Almost surely, 2103133103201 is an apocalyptic number.

It is an amenable number.

103133103201 is a deficient number, since it is larger than the sum of its proper divisors (52022864799).

103133103201 is a wasteful number, since it uses less digits than its factorization.

103133103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135130 (or 135124 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103133103201 its reverse (102301331301), we get a palindrome (205434434502).

The spelling of 103133103201 in words is "one hundred three billion, one hundred thirty-three million, one hundred three thousand, two hundred one".

Divisors: 1 3 9 27 79 237 359 711 1077 2133 3231 9693 28361 85083 134683 255249 404049 765747 1212147 3636441 10639957 31919871 48351197 95759613 145053591 287278839 435160773 1305482319 3819744563 11459233689 34377701067 103133103201