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103011323301 = 32234718735653
BaseRepresentation
bin101111111101111110…
…1000000110110100101
3100211220000222102020100
41133323331000312211
53141431344321201
6115153414054313
710304500541505
oct1377375006645
9324800872210
10103011323301
113a76122a947
1217b6a34a399
139938659c53
144db2d73a05
152a2d7b8886
hex17fbf40da5

103011323301 has 48 divisors (see below), whose sum is σ = 158679645696. Its totient is φ = 64245063168.

The previous prime is 103011323263. The next prime is 103011323309. The reversal of 103011323301 is 103323110301.

It is a happy number.

103011323301 is a `hidden beast` number, since 1 + 0 + 30 + 11 + 323 + 301 = 666.

It is not a de Polignac number, because 103011323301 - 210 = 103011322277 is a prime.

It is a super-2 number, since 2×1030113233012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011323309) 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 47 ways as a sum of consecutive naturals, for example, 18219591 + ... + 18225243.

It is an arithmetic number, because the mean of its divisors is an integer number (3305825952).

Almost surely, 2103011323301 is an apocalyptic number.

It is an amenable number.

103011323301 is a deficient number, since it is larger than the sum of its proper divisors (55668322395).

103011323301 is a wasteful number, since it uses less digits than its factorization.

103011323301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602 (or 7599 counting only the distinct ones).

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

Adding to 103011323301 its reverse (103323110301), we get a palindrome (206334433602).

The spelling of 103011323301 in words is "one hundred three billion, eleven million, three hundred twenty-three thousand, three hundred one".

Divisors: 1 3 9 23 47 69 141 207 423 1081 1873 3243 5619 5653 9729 16857 16959 43079 50877 88031 129237 130019 264093 265691 387711 390057 792279 797073 1170171 2024713 2391219 6074139 6110893 10588069 18222417 18332679 31764207 54998037 95292621 243525587 497639243 730576761 1492917729 2191730283 4478753187 11445702589 34337107767 103011323301