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202143341202 = 231131374575843
BaseRepresentation
bin1011110001000010101…
…1101001101010010010
3201022202201100200212220
42330100223221222102
511302442143404302
6232510253201510
720414205023115
oct2742053515222
9638681320786
10202143341202
1178801712170
1233215490296
13160a63a35ca
149ad8a1057c
1553d16ed4bc
hex2f10ae9a92

202143341202 has 128 divisors (see below), whose sum is σ = 468674961408. Its totient is φ = 57541363200.

The previous prime is 202143341177. The next prime is 202143341221.

It is a happy number.

202143341202 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34592893 + ... + 34598735.

It is an arithmetic number, because the mean of its divisors is an integer number (3661523136).

Almost surely, 2202143341202 is an apocalyptic number.

202143341202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202143341202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234337480704).

202143341202 is an abundant number, since it is smaller than the sum of its proper divisors (266531620206).

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

202143341202 is a wasteful number, since it uses less digits than its factorization.

202143341202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6384.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 202143 and 341202, that added together give a palindrome (543345).

The spelling of 202143341202 in words is "two hundred two billion, one hundred forty-three million, three hundred forty-one thousand, two hundred two".

Divisors: 1 2 3 6 11 22 31 33 37 62 66 74 93 111 186 222 341 407 457 682 814 914 1023 1147 1221 1371 2046 2294 2442 2742 3441 5027 5843 6882 10054 11686 12617 14167 15081 16909 17529 25234 28334 30162 33818 35058 37851 42501 50727 64273 75702 85002 101454 128546 155837 181133 185999 192819 216191 311674 362266 371998 385638 432382 467511 524179 543399 557997 648573 935022 1048358 1086798 1115994 1297146 1572537 1992463 2378101 2670251 3145074 3984926 4756202 5340502 5765969 5977389 6701921 7134303 8010753 11531938 11954778 13403842 14268606 16021506 17297907 20105763 29372761 34595814 40211526 58745522 73721131 82777781 88118283 98799287 147442262 165555562 176236566 197598574 221163393 248333343 296397861 442326786 496666686 592795722 910555591 1086792157 1821111182 2173584314 2731666773 3062777897 3260376471 5463333546 6125555794 6520752942 9188333691 18376667382 33690556867 67381113734 101071670601 202143341202