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103020100101 = 3323165893881
BaseRepresentation
bin101111111110001111…
…0011111101000000101
3100211220122111022202000
41133330132133220011
53141441121200401
6115154330135513
710304635255032
oct1377436375005
9324818438660
10103020100101
113a766184aa6
1217b71281599
13993a410b19
144db41ba389
152a2e44e186
hex17fc79fa05

103020100101 has 16 divisors (see below), whose sum is σ = 159258126720. Its totient is φ = 65693976480.

The previous prime is 103020100087. The next prime is 103020100103. The reversal of 103020100101 is 101001020301.

It is not a de Polignac number, because 103020100101 - 218 = 103019837957 is a prime.

It is a super-2 number, since 2×1030201001012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020100103) 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 15 ways as a sum of consecutive naturals, for example, 82946320 + ... + 82947561.

It is an arithmetic number, because the mean of its divisors is an integer number (9953632920).

Almost surely, 2103020100101 is an apocalyptic number.

It is an amenable number.

103020100101 is a deficient number, since it is larger than the sum of its proper divisors (56238026619).

103020100101 is a wasteful number, since it uses less digits than its factorization.

103020100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165893913 (or 165893907 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 103020100101 its reverse (101001020301), we get a palindrome (204021120402).

The spelling of 103020100101 in words is "one hundred three billion, twenty million, one hundred thousand, one hundred one".

Divisors: 1 3 9 23 27 69 207 621 165893881 497681643 1493044929 3815559263 4479134787 11446677789 34340033367 103020100101