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202334134112 = 251131107173293
BaseRepresentation
bin1011110001110000001…
…1011101111101100000
3201100021000100222112222
42330130003131331200
511303340014242422
6232541230410212
720422012522505
oct2743403357540
9640230328488
10202334134112
117889a386760
1233269360968
1316106a85c16
149b160b74ac
1553e3339842
hex2f1c0ddf60

202334134112 has 96 divisors (see below), whose sum is σ = 452771472384. Its totient is φ = 88170969600.

The previous prime is 202334134061. The next prime is 202334134151. The reversal of 202334134112 is 211431433202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080938 + ... + 1254230.

It is an arithmetic number, because the mean of its divisors is an integer number (4716369504).

Almost surely, 2202334134112 is an apocalyptic number.

202334134112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202334134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226385736192).

202334134112 is an abundant number, since it is smaller than the sum of its proper divisors (250437338272).

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

202334134112 is a wasteful number, since it uses less digits than its factorization.

202334134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173452 (or 173444 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 202334134112 its reverse (211431433202), we get a palindrome (413765567314).

The spelling of 202334134112 in words is "two hundred two billion, three hundred thirty-four million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 107 124 176 214 248 341 352 428 496 682 856 992 1177 1364 1712 2354 2728 3317 3424 4708 5456 6634 9416 10912 13268 18832 26536 36487 37664 53072 72974 106144 145948 173293 291896 346586 583792 693172 1167584 1386344 1906223 2772688 3812446 5372083 5545376 7624892 10744166 15249784 18542351 21488332 30499568 37084702 42976664 59092913 60999136 74169404 85953328 118185826 148338808 171906656 203965861 236371652 296677616 407931722 472743304 574812881 593355232 815863444 945486608 1149625762 1631726888 1890973216 2299251524 3263453776 4598503048 6322941691 6526907552 9197006096 12645883382 18394012192 25291766764 50583533528 101167067056 202334134112