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103133133031 = 6715121148313
BaseRepresentation
bin110000000001100110…
…1101011100011100111
3100212012112011222202211
41200003031223203213
53142204040224111
6115213444544251
710310510111065
oct1400315534347
9325175158684
10103133133031
113a813a68345
1217ba30b2087
139957968806
144dc5201035
152a3932a521
hex180336b8e7

103133133031 has 16 divisors (see below), whose sum is σ = 105867182848. Its totient is φ = 100440648000.

The previous prime is 103133133023. The next prime is 103133133041. The reversal of 103133133031 is 130331331301.

It is a cyclic number.

It is not a de Polignac number, because 103133133031 - 23 = 103133133023 is a prime.

It is a super-2 number, since 2×1031331330312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103133132993 and 103133133011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103133133041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110531 + ... + 2158843.

It is an arithmetic number, because the mean of its divisors is an integer number (6616698928).

Almost surely, 2103133133031 is an apocalyptic number.

103133133031 is a deficient number, since it is larger than the sum of its proper divisors (2734049817).

103133133031 is a wasteful number, since it uses less digits than its factorization.

103133133031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48742.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 103133133031 its reverse (130331331301), we get a palindrome (233464464332).

The spelling of 103133133031 in words is "one hundred three billion, one hundred thirty-three million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 67 151 211 10117 14137 31861 48313 2134687 3236971 7295263 10194043 488782621 683000881 1539300493 103133133031