Search a number
-
+
211111102210122 = 23319443464472479
BaseRepresentation
bin110000000000000100100010…
…010000010110000001001010
31000200111000122200200210022000
4300000010202100112001022
5210132321014131210442
62024555033531011430
762316162625641162
oct6000044220260112
91020430580623260
10211111102210122
11612a27965a7124
121b8168b4b99b76
1390a48cb35576a
143a1bb908d55a2
15196173e4b1d4c
hexc0012241604a

211111102210122 has 64 divisors (see below), whose sum is σ = 494941874688000. Its totient is φ = 66516174629424.

The previous prime is 211111102210121. The next prime is 211111102210147. The reversal of 211111102210122 is 221012201111112.

It is a happy number.

211111102210122 is a `hidden beast` number, since 211 + 1 + 1 + 110 + 221 + 0 + 122 = 666.

It is a super-3 number, since 3×2111111022101223 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211111102210095 and 211111102210104.

It is not an unprimeable number, because it can be changed into a prime (211111102210121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231781722 + ... + 232690757.

It is an arithmetic number, because the mean of its divisors is an integer number (7733466792000).

Almost surely, 2211111102210122 is an apocalyptic number.

211111102210122 is an abundant number, since it is smaller than the sum of its proper divisors (283830772477878).

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

211111102210122 is a wasteful number, since it uses less digits than its factorization.

211111102210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464472952 (or 464472946 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211111102210122 its reverse (221012201111112), we get a palindrome (432123303321234).

The spelling of 211111102210122 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred two million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 443 513 886 1026 1329 2658 3987 7974 8417 11961 16834 23922 25251 50502 75753 151506 227259 454518 464472479 928944958 1393417437 2786834874 4180252311 8360504622 8824977101 12540756933 17649954202 25081513866 26474931303 52949862606 79424793909 158849587818 205761308197 238274381727 411522616394 476548763454 617283924591 1234567849182 1851851773773 3703703547546 3909464855743 5555555321319 7818929711486 11111110642638 11728394567229 23456789134458 35185183701687 70370367403374 105555551105061 211111102210122