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100202220006 = 23720899114157
BaseRepresentation
bin101110101010010000…
…1001000100111100110
3100120122021011011221120
41131110201020213212
53120203232020011
6114010545154410
710145050550130
oct1352441104746
9316567134846
10100202220006
113954a5a4a79
121750562ba06
1395ab693355
144bc7c60050
152916d81a06
hex17548489e6

100202220006 has 32 divisors (see below), whose sum is σ = 229046611200. Its totient is φ = 28627585056.

The previous prime is 100202219977. The next prime is 100202220031. The reversal of 100202220006 is 600022202001.

It is a super-4 number, since 4×1002022200064 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820680 + ... + 934836.

It is an arithmetic number, because the mean of its divisors is an integer number (7157706600).

Almost surely, 2100202220006 is an apocalyptic number.

100202220006 is an abundant number, since it is smaller than the sum of its proper divisors (128844391194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100202220006 is a wasteful number, since it uses less digits than its factorization.

100202220006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135068.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 100202220006 its reverse (600022202001), we get a palindrome (700224422007).

The spelling of 100202220006 in words is "one hundred billion, two hundred two million, two hundred twenty thousand, six".

Divisors: 1 2 3 6 7 14 21 42 20899 41798 62697 114157 125394 146293 228314 292586 342471 438879 684942 799099 877758 1598198 2397297 4794594 2385767143 4771534286 7157301429 14314602858 16700370001 33400740002 50101110003 100202220006