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212001000111 = 33831031735309
BaseRepresentation
bin1100010101110000111…
…1101000101010101111
3202021012201021122202000
43011130033220222233
511433134224000421
6241220353103343
721213403524345
oct3053417505257
9667181248660
10212001000111
1181a0004620a
1235106857b53
1316cb7743c84
14a391cbd995
1557abd41226
hex315c3e8aaf

212001000111 has 64 divisors (see below), whose sum is σ = 322861593600. Its totient is φ = 137450362752.

The previous prime is 212001000067. The next prime is 212001000143. The reversal of 212001000111 is 111000100212.

It is a happy number.

It is not a de Polignac number, because 212001000111 - 218 = 212000737967 is a prime.

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 = 212001000093 and 212001000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001000151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39929725 + ... + 39935033.

It is an arithmetic number, because the mean of its divisors is an integer number (5044712400).

Almost surely, 2212001000111 is an apocalyptic number.

212001000111 is a deficient number, since it is larger than the sum of its proper divisors (110860593489).

212001000111 is a wasteful number, since it uses less digits than its factorization.

212001000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212001000111 its reverse (111000100212), we get a palindrome (323001100323).

The spelling of 212001000111 in words is "two hundred twelve billion, one million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 27 83 103 173 249 309 519 747 927 1557 2241 2781 4671 5309 8549 14359 15927 17819 25647 43077 47781 53457 76941 129231 143343 160371 230823 387693 440647 481113 546827 918457 1321941 1478977 1640481 2755371 3965823 4436931 4921443 8266113 11897469 13310793 14764329 24798339 39932379 45386641 76231931 94601071 136159923 228695793 283803213 408479769 686087379 851409639 1225439307 2058262137 2554228917 7851888893 23555666679 70667000037 212001000111