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211200000200010 = 23351782935548423
BaseRepresentation
bin110000000001010111010100…
…111111010000110101001010
31000200210112010010221120202000
4300001113110333100311022
5210140300100022400020
62025103535103251430
762325460614250233
oct6001272477206512
91020715103846660
10211200000200010
116132746515a758
121b82bb848a9b76
1390b00c7a72143
143a221c52d008a
151963be3c0c090
hexc015d4fd0d4a

211200000200010 has 128 divisors (see below), whose sum is σ = 596401427381760. Its totient is φ = 53000657538048.

The previous prime is 211200000199943. The next prime is 211200000200039. The reversal of 211200000200010 is 10002000002112.

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 = 211200000199965 and 211200000200001.

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, 35290659 + ... + 40839081.

It is an arithmetic number, because the mean of its divisors is an integer number (4659386151420).

Almost surely, 2211200000200010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211200000200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298200713690880).

211200000200010 is an abundant number, since it is smaller than the sum of its proper divisors (385201427181750).

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

211200000200010 is a wasteful number, since it uses less digits than its factorization.

211200000200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556749 (or 5556743 counting only the distinct ones).

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

Adding to 211200000200010 its reverse (10002000002112), we get a palindrome (221202000202122).

The spelling of 211200000200010 in words is "two hundred eleven trillion, two hundred billion, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 8293 16586 24879 41465 49758 74637 82930 124395 140981 149274 223911 248790 281962 373185 422943 447822 704905 746370 845886 1119555 1268829 1409810 2114715 2239110 2537658 3806487 4229430 5548423 6344145 7612974 11096846 12688290 16645269 19032435 27742115 33290538 38064870 49935807 55484230 83226345 94323191 99871614 149807421 166452690 188646382 249679035 282969573 299614842 471615955 499358070 565939146 749037105 848908719 943231910 1414847865 1498074210 1697817438 2546726157 2829695730 4244543595 5093452314 8489087190 12733630785 25467261570 46013071939 92026143878 138039215817 230065359695 276078431634 414117647451 460130719390 690196079085 782222222963 828235294902 1242352942353 1380392158170 1564444445926 2070588237255 2346666668889 2484705884706 3911111114815 4141176474510 4693333337778 6211764711765 7040000006667 7822222229630 11733333344445 12423529423530 14080000013334 21120000020001 23466666688890 35200000033335 42240000040002 70400000066670 105600000100005 211200000200010