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103222310442201 = 32199137634187597
BaseRepresentation
bin10111011110000101010001…
…001001011001010011011001
3111112110221211021220101100100
4113132011101021121103121
5102012143242433122301
61003311401430330013
730512365036032336
oct2736052111312331
9445427737811310
10103222310442201
112a987377276535
12b6b1212ab9909
134579a8c22c9b2
141b6bdb4c9b98d
15be00b0e89286
hex5de1512594d9

103222310442201 has 24 divisors (see below), whose sum is σ = 149859057067200. Its totient is φ = 68464079028576.

The previous prime is 103222310442197. The next prime is 103222310442247. The reversal of 103222310442201 is 102244013222301.

103222310442201 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 2 + 3 + 10 + 442 + 201 = 666.

It is not a de Polignac number, because 103222310442201 - 22 = 103222310442197 is a prime.

It is a super-2 number, since 2×1032223104422012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103222310440201) 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 23 ways as a sum of consecutive naturals, for example, 22555735 + ... + 26743331.

It is an arithmetic number, because the mean of its divisors is an integer number (6244127377800).

Almost surely, 2103222310442201 is an apocalyptic number.

It is an amenable number.

103222310442201 is a deficient number, since it is larger than the sum of its proper divisors (46636746624999).

103222310442201 is a wasteful number, since it uses less digits than its factorization.

103222310442201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201565 (or 4201562 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103222310442201 its reverse (102244013222301), we get a palindrome (205466323664502).

The spelling of 103222310442201 in words is "one hundred three trillion, two hundred twenty-two billion, three hundred ten million, four hundred forty-two thousand, two hundred one".

Divisors: 1 3 9 199 597 1791 13763 41289 123867 2738837 4187597 8216511 12562791 24649533 37688373 833331803 2499995409 7499986227 57633897511 172901692533 518705077599 11469145604689 34407436814067 103222310442201