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103022102101 = 1789197421821
BaseRepresentation
bin101111111110010011…
…0001000011001010101
3100211220210021000222011
41133330212020121111
53141442124231401
6115154441104221
710304661263542
oct1377446103125
9324823230864
10103022102101
113a767322146
1217b71a88071
13993a962139
144db457bbc9
152a2e6e7451
hex17fc988655

103022102101 has 32 divisors (see below), whose sum is σ = 111266511840. Its totient is φ = 95043379200.

The previous prime is 103022102089. The next prime is 103022102107. The reversal of 103022102101 is 101201220301.

It can be written as a sum of positive squares in 16 ways, for example, as 29580560100 + 73441542001 = 171990^2 + 271001^2 .

It is a cyclic number.

It is not a de Polignac number, because 103022102101 - 217 = 103021971029 is a prime.

It is a super-2 number, since 2×1030221021012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103022102107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125483271 + ... + 125484091.

It is an arithmetic number, because the mean of its divisors is an integer number (3477078495).

Almost surely, 2103022102101 is an apocalyptic number.

It is an amenable number.

103022102101 is a deficient number, since it is larger than the sum of its proper divisors (8244409739).

103022102101 is a wasteful number, since it uses less digits than its factorization.

103022102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 103022102101 its reverse (101201220301), we get a palindrome (204223322402).

The spelling of 103022102101 in words is "one hundred three billion, twenty-two million, one hundred two thousand, one hundred one".

Divisors: 1 17 89 197 421 821 1513 3349 7157 13957 17533 37469 73069 82937 161737 298061 345641 636973 1242173 1409929 2749529 5875897 7381393 14394593 30762049 68091277 125483681 244708081 522954833 1157551709 6060123653 103022102101