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202100011102332 = 223271769168271403
BaseRepresentation
bin101101111100111100010011…
…010111101111000001111100
3222111120120110021000022022200
4231330330103113233001330
5202442201310320233312
61553455244031311500
760366146451211440
oct5574742327570174
9874516407008280
10202100011102332
1159439151592612
121a80040497b590
13889cc4571c1c5
1437c999abc4820
15185714224b0dc
hexb7cf135ef07c

202100011102332 has 144 divisors (see below), whose sum is σ = 619082906787072. Its totient is φ = 54267572021760.

The previous prime is 202100011102289. The next prime is 202100011102333. The reversal of 202100011102332 is 233201110001202.

202100011102332 is a `hidden beast` number, since 20 + 210 + 0 + 0 + 1 + 1 + 102 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100011102333) 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 47 ways as a sum of consecutive naturals, for example, 31175458 + ... + 37095945.

It is an arithmetic number, because the mean of its divisors is an integer number (4299186852688).

Almost surely, 2202100011102332 is an apocalyptic number.

It is an amenable number.

202100011102332 is an abundant number, since it is smaller than the sum of its proper divisors (416982895684740).

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

202100011102332 is a wasteful number, since it uses less digits than its factorization.

202100011102332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68272128 (or 68272123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202100011102332 its reverse (233201110001202), we get a palindrome (435301121103534).

The spelling of 202100011102332 in words is "two hundred two trillion, one hundred billion, eleven million, one hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 691 714 1071 1382 1428 2073 2142 2764 4146 4284 4837 6219 8292 9674 11747 12438 14511 19348 23494 24876 29022 35241 43533 46988 58044 70482 82229 87066 105723 140964 164458 174132 211446 246687 328916 422892 493374 740061 986748 1480122 2960244 68271403 136542806 204814209 273085612 409628418 477899821 614442627 819256836 955799642 1160613851 1228885254 1433699463 1911599284 2321227702 2457770508 2867398926 3481841553 4301098389 4642455404 5734797852 6963683106 8124296957 8602196778 10445524659 13927366212 16248593914 17204393556 20891049318 24372890871 32497187828 41782098636 47175539473 48745781742 73118672613 94351078946 97491563484 141526618419 146237345226 188702157892 283053236838 292474690452 330228776311 424579855257 566106473676 660457552622 801984171041 849159710514 990686328933 1320915105244 1603968342082 1698319421028 1981372657866 2405952513123 2972058986799 3207936684164 3962745315732 4811905026246 5613889197287 5944117973598 7217857539369 9623810052492 11227778394574 11888235947196 14435715078738 16841667591861 22455556789148 28871430157476 33683335183722 50525002775583 67366670367444 101050005551166 202100011102332