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200100010212 = 2232172394115107
BaseRepresentation
bin1011101001011011100…
…0111101100011100100
3201010111022110201201100
42322112320331203210
511234301100311322
6231531421400100
720312444010654
oct2722670754344
9633438421640
10200100010212
117795326a373
1232945109030
1315b3bc6750b
1499834b6364
15531212bdac
hex2e96e3d8e4

200100010212 has 144 divisors (see below), whose sum is σ = 559478005632. Its totient is φ = 59979279360.

The previous prime is 200100010183. The next prime is 200100010217. The reversal of 200100010212 is 212010001002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200100010194 and 200100010203.

It is not an unprimeable number, because it can be changed into a prime (200100010217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13237963 + ... + 13253069.

It is an arithmetic number, because the mean of its divisors is an integer number (3885263928).

Almost surely, 2200100010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200100010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279739002816).

200100010212 is an abundant number, since it is smaller than the sum of its proper divisors (359377995420).

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

200100010212 is a wasteful number, since it uses less digits than its factorization.

200100010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16098 (or 16093 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200100010212 its reverse (212010001002), we get a palindrome (412110011214).

The spelling of 200100010212 in words is "two hundred billion, one hundred million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 941 1173 1564 1882 2346 2823 3519 3764 4692 5646 7038 8469 11292 14076 15107 15997 16938 21643 30214 31994 33876 43286 45321 47991 60428 63988 64929 86572 90642 95982 129858 135963 143973 181284 191964 194787 256819 259716 271926 287946 347461 367931 389574 513638 543852 575892 694922 735862 770457 779148 1027276 1042383 1103793 1389844 1471724 1540914 2084766 2207586 2311371 3081828 3127149 3311379 4169532 4415172 4622742 5906837 6254298 6622758 9245484 11813674 12508596 13245516 14215687 17720511 23627348 28431374 35441022 42647061 53161533 56862748 70882044 85294122 106323066 127941183 170588244 212646132 241666679 255882366 326960801 483333358 511764732 653921602 725000037 966666716 980882403 1307843204 1450000074 1961764806 2175000111 2900000148 2942647209 3923529612 4350000222 5558333617 5885294418 8700000444 11116667234 11770588836 16675000851 22233334468 33350001702 50025002553 66700003404 100050005106 200100010212