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200100202192 = 24113139792381
BaseRepresentation
bin1011101001011011100…
…1101100011011010000
3201010111022211111001201
42322112321230123100
511234301122432232
6231531425440544
720312445440452
oct2722671543320
9633438744051
10200100202192
1177953390630
12329451a0154
1315b3c003a07
1499835262d2
155312168be7
hex2e96e6c6d0

200100202192 has 80 divisors (see below), whose sum is σ = 437686700544. Its totient is φ = 87797952000.

The previous prime is 200100202171. The next prime is 200100202207. The reversal of 200100202192 is 291202001002.

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, 2119842 + ... + 2212222.

Almost surely, 2200100202192 is an apocalyptic number.

200100202192 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 200100202192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218843350272).

200100202192 is an abundant number, since it is smaller than the sum of its proper divisors (237586498352).

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

200100202192 is a wasteful number, since it uses less digits than its factorization.

200100202192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92828 (or 92822 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 200100202192 its reverse (291202001002), we get a palindrome (491302203194).

The spelling of 200100202192 in words is "two hundred billion, one hundred million, two hundred two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 397 496 682 794 1364 1588 2728 3176 4367 5456 6352 8734 12307 17468 24614 34936 49228 69872 92381 98456 135377 184762 196912 270754 369524 541508 739048 1016191 1083016 1478096 2032382 2166032 2863811 4064764 5727622 8129528 11455244 16259056 22910488 31501921 36675257 45820976 63003842 73350514 126007684 146701028 252015368 293402056 403427827 504030736 586804112 806855654 1136932967 1613711308 2273865934 3227422616 4547731868 6454845232 9095463736 12506262637 18190927472 25012525274 50025050548 100050101096 200100202192