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20010222102101 = 711253866951419
BaseRepresentation
bin1001000110010111111100…
…01011100010011001010101
32121211221212210011002120212
410203023332023202121111
510110321413324231401
6110320322533135205
74133455646323550
oct443137613423125
977757783132525
1020010222102101
116415318790700
1222b2146a8a505
13b21c56cc666a
144d26ddab7697
1524a7a24b6dbb
hex1232fe2e2655

20010222102101 has 48 divisors (see below), whose sum is σ = 25614539798400. Its totient is φ = 15296122807680.

The previous prime is 20010222102043. The next prime is 20010222102121. The reversal of 20010222102101 is 10120122201002.

It is a de Polignac number, because none of the positive numbers 2k-20010222102101 is a prime.

It is a super-2 number, since 2×200102221021012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010222102121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 389134370 + ... + 389185788.

It is an arithmetic number, because the mean of its divisors is an integer number (533636245800).

Almost surely, 220010222102101 is an apocalyptic number.

It is an amenable number.

20010222102101 is a deficient number, since it is larger than the sum of its proper divisors (5604317696299).

20010222102101 is a wasteful number, since it uses less digits than its factorization.

20010222102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60170 (or 60159 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20010222102101 its reverse (10120122201002), we get a palindrome (30130344303103).

The spelling of 20010222102101 in words is "twenty trillion, ten billion, two hundred twenty-two million, one hundred two thousand, one hundred one".

Divisors: 1 7 11 53 77 121 371 583 847 4081 6413 8669 44891 51419 60683 95359 359933 459457 565609 667513 1048949 2725207 3216199 3959263 5054027 6221699 7342643 19076449 29977277 35378189 43551893 55594297 209840939 329750047 389160079 445751311 2308250329 3120259177 4903264421 23624819483 34322850947 53935908631 165373736381 259873014313 377551360417 1819111100191 2858603157443 20010222102101