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21011111121 = 37111317974243
BaseRepresentation
bin10011100100010111…
…000001110011010001
32000020022010000221210
4103210113001303101
5321012321023441
613352525010333
71342450332510
oct234427016321
960208100853
1021011111121
118a02251850
1240a46b39a9
131c9b005340
1410346c6677
1582e8e4616
hex4e45c1cd1

21011111121 has 128 divisors (see below), whose sum is σ = 40246972416. Its totient is φ = 9382625280.

The previous prime is 21011111119. The next prime is 21011111129. The reversal of 21011111121 is 12111111012.

It is not a de Polignac number, because 21011111121 - 21 = 21011111119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21011111097 and 21011111106.

It is not an unprimeable number, because it can be changed into a prime (21011111129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4949826 + ... + 4954068.

It is an arithmetic number, because the mean of its divisors is an integer number (314429472).

Almost surely, 221011111121 is an apocalyptic number.

21011111121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21011111121 is a deficient number, since it is larger than the sum of its proper divisors (19235861295).

21011111121 is a wasteful number, since it uses less digits than its factorization.

21011111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 21011111121 its reverse (12111111012), we get a palindrome (33122222133).

The spelling of 21011111121 in words is "twenty-one billion, eleven million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 17 21 33 39 51 77 91 97 119 143 187 221 231 273 291 357 429 561 663 679 1001 1067 1261 1309 1547 1649 2037 2431 3003 3201 3783 3927 4243 4641 4947 7293 7469 8827 11543 12729 13871 17017 18139 21437 22407 26481 29701 34629 41613 46673 51051 54417 55159 64311 72131 89103 97097 126973 140019 150059 165477 216393 235807 291291 326711 380919 386113 411571 450177 504917 606749 707421 793441 937703 980133 1158339 1234713 1514751 1650649 1820247 2380323 2813109 2880997 4247243 4527281 4951947 5350423 5554087 6563921 6996707 8642991 10314733 12741729 13581843 16051269 16662261 19691763 20990121 30944199 31690967 37452961 48976949 58854653 72203131 76963777 90957191 95072901 112358883 146930847 176563959 216609393 230891331 272871573 411982571 538746439 636700337 1000529101 1235947713 1616239317 1910101011 3001587303 7003703707 21011111121