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103013313201 = 3235332424713
BaseRepresentation
bin101111111110000010…
…0100110101010110001
3100211220011201111212100
41133330010212222301
53141432402010301
6115153524451013
710304523500121
oct1377404465261
9324804644770
10103013313201
113a762369997
1217b6ab49a69
139938ba58c6
144db3330c81
152a2da5d286
hex17fc126ab1

103013313201 has 12 divisors (see below), whose sum is σ = 149218533828. Its totient is φ = 68480991744.

The previous prime is 103013313199. The next prime is 103013313223. The reversal of 103013313201 is 102313310301.

It is a happy number.

103013313201 is a `hidden beast` number, since 1 + 0 + 301 + 331 + 32 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67753487025 + 35259826176 = 260295^2 + 187776^2 .

It is not a de Polignac number, because 103013313201 - 21 = 103013313199 is a prime.

It is a super-2 number, since 2×1030133132012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103013313701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16209180 + ... + 16215533.

It is an arithmetic number, because the mean of its divisors is an integer number (12434877819).

Almost surely, 2103013313201 is an apocalyptic number.

It is an amenable number.

103013313201 is a deficient number, since it is larger than the sum of its proper divisors (46205220627).

103013313201 is a wasteful number, since it uses less digits than its factorization.

103013313201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32425072 (or 32425069 counting only the distinct ones).

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

Adding to 103013313201 its reverse (102313310301), we get a palindrome (205326623502).

The spelling of 103013313201 in words is "one hundred three billion, thirteen million, three hundred thirteen thousand, two hundred one".

Divisors: 1 3 9 353 1059 3177 32424713 97274139 291822417 11445923689 34337771067 103013313201