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21211022011212 = 22321124869380627
BaseRepresentation
bin1001101001010100100110…
…11011101010101101001100
32210002202100121000210120200
410310222103123222231030
510240010133113324322
6113040113050413500
74316305620204255
oct464522333525514
983082317023520
1021211022011212
1168385a8a56300
122466a08431290
13bab263231a67
14534894545b2c
1526bb3250c8ac
hex134a936eab4c

21211022011212 has 54 divisors (see below), whose sum is σ = 58934113740684. Its totient is φ = 6427582426320.

The previous prime is 21211022011177. The next prime is 21211022011301.

21211022011212 is a `hidden beast` number, since 21 + 211 + 0 + 220 + 1 + 1 + 212 = 666.

21211022011212 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2434685958 + ... + 2434694669.

Almost surely, 221211022011212 is an apocalyptic number.

21211022011212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21211022011212 is an abundant number, since it is smaller than the sum of its proper divisors (37723091729472).

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

21211022011212 is a wasteful number, since it uses less digits than its factorization.

21211022011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869380659 (or 4869380643 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2121102 and 2011212, that added together give a palindrome (4132314).

The spelling of 21211022011212 in words is "twenty-one trillion, two hundred eleven billion, twenty-two million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 4869380627 9738761254 14608141881 19477522508 29216283762 43824425643 53563186897 58432567524 87648851286 107126373794 160689560691 175297702572 214252747588 321379121382 482068682073 589195055867 642758242764 964137364146 1178390111734 1767585167601 1928274728292 2356780223468 3535170335202 5302755502803 7070340670404 10605511005606 21211022011212