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21121241121321 = 31117101461808601
BaseRepresentation
bin1001100110101101011000…
…00100110000001000101001
32202210011121121110001000120
410303112230010300020221
510232022300211340241
6112530544134353453
74306650021216555
oct463265404601051
982704547401016
1021121241121321
116803516a8a950
122451530abb889
13ba2955928143
145303b87a2865
1526962a512666
hex1335ac130229

21121241121321 has 64 divisors (see below), whose sum is σ = 32922340399872. Its totient is φ = 11902592000000.

The previous prime is 21121241121271. The next prime is 21121241121329. The reversal of 21121241121321 is 12312114212112.

It is a cyclic number.

It is not a de Polignac number, because 21121241121321 - 210 = 21121241120297 is a prime.

It is a super-2 number, since 2×211212411213212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121241121291 and 21121241121300.

It is not an unprimeable number, because it can be changed into a prime (21121241121329) 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, 25716421 + ... + 26525021.

It is an arithmetic number, because the mean of its divisors is an integer number (514411568748).

Almost surely, 221121241121321 is an apocalyptic number.

It is an amenable number.

21121241121321 is a deficient number, since it is larger than the sum of its proper divisors (11801099278551).

21121241121321 is a wasteful number, since it uses less digits than its factorization.

21121241121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809194.

The product of its digits is 384, while the sum is 24.

Adding to 21121241121321 its reverse (12312114212112), we get a palindrome (33433355333433).

The spelling of 21121241121321 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred forty-one million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 11 17 33 51 101 187 303 461 561 1111 1383 1717 3333 5071 5151 7837 15213 18887 23511 46561 56661 86207 139683 258621 512171 791537 808601 1536513 2374611 2425803 8706907 8894611 13746217 26120721 26683833 41238651 81668701 151208387 245006103 372765061 453625161 898355711 1118295183 1388367917 2695067133 4100415671 4165103751 6337006037 12301247013 15272047087 19011018111 37649271161 45816141261 69707066407 112947813483 209121199221 414141982771 640037609737 1242425948313 1920112829211 7040413707107 21121241121321