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332042042200002 = 23412503191334213
BaseRepresentation
bin100101101111111011000111…
…1111110011100111111000010
31121112122220112211022020112220
41023133312033332130333002
5322010134100300400002
63134110001450431510
7126640150225400121
oct11337661776347702
91545586484266486
10332042042200002
119688726a55a4a2
12312a7b80132596
131133757928c044
145bdccc6161ab8
15285c2975487bc
hex12dfd8ff9cfc2

332042042200002 has 96 divisors (see below), whose sum is σ = 682406012179584. Its totient is φ = 107706995696640.

The previous prime is 332042042199979. The next prime is 332042042200007. The reversal of 332042042200002 is 200002240240233.

It is a happy number.

It is a super-2 number, since 2×3320420422000022 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332042042200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9705125448 + ... + 9705159660.

It is an arithmetic number, because the mean of its divisors is an integer number (7108395960204).

Almost surely, 2332042042200002 is an apocalyptic number.

332042042200002 is an abundant number, since it is smaller than the sum of its proper divisors (350363969979582).

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

332042042200002 is a wasteful number, since it uses less digits than its factorization.

332042042200002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36716 (or 36675 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 332042042200002 its reverse (200002240240233), we get a palindrome (532044282440235).

The spelling of 332042042200002 in words is "three hundred thirty-two trillion, forty-two billion, forty-two million, two hundred thousand, two".

Divisors: 1 2 3 6 41 82 123 246 503 1006 1509 1681 1913 3018 3362 3826 5043 5739 10086 11478 20623 34213 41246 61869 68426 78433 102639 123738 156866 205278 235299 470598 845543 962239 1402733 1691086 1924478 2536629 2805466 2886717 3215753 4208199 5073258 5773434 6431506 8416398 9647259 17209139 19294518 34418278 39451799 51627417 57512053 65449469 78903598 103254834 115024106 118355397 130898938 172536159 196348407 236710794 345072318 392696814 705574699 1411149398 1617523759 2116724097 2683428229 3235047518 4233448194 4852571277 5366856458 8050284687 9705142554 16100569374 28928562659 32921082907 57857125318 65842165814 86785687977 98763248721 110020557389 173571375954 197526497442 220041114778 330061672167 660123344334 1349764399187 2699528798374 4049293197561 8098586395122 55340340366667 110680680733334 166021021100001 332042042200002