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201002012233146 = 236791745081803
BaseRepresentation
bin101101101100111101101101…
…100010011100110110111010
3222100200121022211102112000000
4231230331231202130312322
5202321204110112430041
61551255014421053430
760223626145625505
oct5554755542346672
9870617284375000
10201002012233146
1159055524880843
121a663653257276
1388205403c5c07
14378c7993cc13c
1518387cc2d2bb6
hexb6cf6d89cdba

201002012233146 has 56 divisors (see below), whose sum is σ = 457769858825280. Its totient is φ = 66152560950216.

The previous prime is 201002012232949. The next prime is 201002012233147. The reversal of 201002012233146 is 641332210200102.

201002012233146 is a `hidden beast` number, since 2 + 0 + 100 + 20 + 1 + 223 + 314 + 6 = 666.

It is a super-2 number, since 2×2010020122331462 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201002012233147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 872425720 + ... + 872656083.

Almost surely, 2201002012233146 is an apocalyptic number.

201002012233146 is an abundant number, since it is smaller than the sum of its proper divisors (256767846592134).

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

201002012233146 is an equidigital number, since it uses as much as digits as its factorization.

201002012233146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745081902 (or 1745081887 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201002012233146 its reverse (641332210200102), we get a palindrome (842334222433248).

The spelling of 201002012233146 in words is "two hundred one trillion, two billion, twelve million, two hundred thirty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 243 474 486 711 729 1422 1458 2133 4266 6399 12798 19197 38394 57591 115182 1745081803 3490163606 5235245409 10470490818 15705736227 31411472454 47117208681 94234417362 137861462437 141351626043 275722924874 282703252086 413584387311 424054878129 827168774622 848109756258 1240753161933 1272164634387 2481506323866 2544329268774 3722259485799 7444518971598 11166778457397 22333556914794 33500335372191 67000670744382 100501006116573 201002012233146