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200100012112 = 247111347926083
BaseRepresentation
bin1011101001011011100…
…0111110000001010000
3201010111022110211022201
42322112320332001100
511234301100341422
6231531421412544
720312444016340
oct2722670760120
9633438424281
10200100012112
1177953270840
123294510a154
1315b3bc68340
1499834b6d20
15531212c727
hex2e96e3e050

200100012112 has 160 divisors (see below), whose sum is σ = 521646612480. Its totient is φ = 71811048960.

The previous prime is 200100012107. The next prime is 200100012163. The reversal of 200100012112 is 211210001002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7658623 + ... + 7684705.

It is an arithmetic number, because the mean of its divisors is an integer number (3260291328).

Almost surely, 2200100012112 is an apocalyptic number.

200100012112 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 200100012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260823306240).

200100012112 is an abundant number, since it is smaller than the sum of its proper divisors (321546600368).

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

200100012112 is a wasteful number, since it uses less digits than its factorization.

200100012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26601 (or 26595 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200100012112 its reverse (211210001002), we get a palindrome (411310013114).

The spelling of 200100012112 in words is "two hundred billion, one hundred million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 479 572 616 728 958 1001 1144 1232 1456 1916 2002 2288 3353 3832 4004 5269 6227 6706 7664 8008 10538 12454 13412 16016 21076 24908 26083 26824 36883 42152 43589 49816 52166 53648 68497 73766 84304 87178 99632 104332 136994 147532 174356 182581 208664 273988 286913 295064 339079 348712 365162 417328 479479 547976 573826 590128 678158 697424 730324 958958 1095952 1147652 1356316 1460648 1917916 2008391 2295304 2373553 2712632 2921296 3729869 3835832 4016782 4590608 4747106 5425264 7459738 7671664 8033564 9494212 12493757 14919476 16067128 18988424 24987514 26109083 29838952 32134256 37976848 49975028 52218166 59677904 87456299 99950056 104436332 137431327 162418841 174912598 199900112 208872664 274862654 324837682 349825196 417745328 549725308 649675364 699650392 962019289 1099450616 1136931887 1299350728 1399300784 1786607251 1924038578 2198901232 2273863774 2598701456 3573214502 3848077156 4547727548 7146429004 7696154312 9095455096 12506250757 14292858008 15392308624 18190910192 25012501514 28585716016 50025003028 100050006056 200100012112