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21020120121 = 37112132311579
BaseRepresentation
bin10011100100111001…
…011001010000111001
32000020221001201222110
4103210321121100321
5321022122320441
613353450042533
71342620034020
oct234471312071
960227051873
1021020120121
118a07345400
1240a7719449
131c9cb3ab00
14103598d8b7
158305c3b16
hex4e4e59439

21020120121 has 144 divisors (see below), whose sum is σ = 39378554880. Its totient is φ = 9748252800.

The previous prime is 21020120111. The next prime is 21020120131. The reversal of 21020120121 is 12102102012.

It is an interprime number because it is at equal distance from previous prime (21020120111) and next prime (21020120131).

It is not a de Polignac number, because 21020120121 - 26 = 21020120057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21020120097 and 21020120106.

It is not an unprimeable number, because it can be changed into a prime (21020120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13311510 + ... + 13313088.

Almost surely, 221020120121 is an apocalyptic number.

21020120121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21020120121 is a deficient number, since it is larger than the sum of its proper divisors (18358434759).

21020120121 is a wasteful number, since it uses less digits than its factorization.

21020120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21020120121 its reverse (12102102012), we get a palindrome (33122222133).

It can be divided in two parts, 21020 and 120121, that added together give a palindrome (141141).

The spelling of 21020120121 in words is "twenty-one billion, twenty million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 31 33 39 77 91 93 121 143 169 217 231 273 341 363 403 429 507 651 847 1001 1023 1183 1209 1573 1579 1859 2387 2541 2821 3003 3549 3751 4433 4719 4737 5239 5577 7161 8463 11011 11053 11253 13013 13299 15717 17369 20449 20527 26257 31031 33033 33159 36673 39039 48763 48949 52107 57629 61347 61581 78771 93093 110019 121583 143143 143689 146289 146847 172887 191059 225797 266851 341341 342643 364749 403403 429429 431067 538439 573177 633919 636337 677391 800553 1024023 1027929 1210209 1337413 1580579 1615317 1867957 1901757 1909011 2483767 2935361 3769073 4012239 4437433 4454359 4741737 5603871 5922829 6999707 7451301 8272381 8806083 11307219 13312299 13363077 17386369 17768487 20547527 20999121 24817143 32288971 41459803 48997949 52159107 57906667 61642581 76996777 90996191 96866913 124379409 146993847 173720001 226022797 230990331 272988573 538977439 636973337 678068391 1000958101 1616932317 1910920011 3002874303 7006706707 21020120121