Search a number
-
+
1122212102121 = 3211233141387763
BaseRepresentation
bin10000010101001001000…
…011011011111111101001
310222021121220001110121200
4100111021003123333221
5121341242244231441
62215312003554413
7144035314323525
oct20251103337751
93867556043550
101122212102121
113a2a22526090
121615aa68ba09
1381a93860b76
143c45b49ad85
151e2d0a297b6
hex105490dbfe9

1122212102121 has 96 divisors (see below), whose sum is σ = 1951203631104. Its totient is φ = 614215008000.

The previous prime is 1122212102119. The next prime is 1122212102147. The reversal of 1122212102121 is 1212012122211.

1122212102121 is a `hidden beast` number, since 112 + 221 + 210 + 2 + 121 = 666.

It is not a de Polignac number, because 1122212102121 - 21 = 1122212102119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122212102094 and 1122212102103.

It is not an unprimeable number, because it can be changed into a prime (1122212102111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2700186 + ... + 3087948.

It is an arithmetic number, because the mean of its divisors is an integer number (20325037824).

Almost surely, 21122212102121 is an apocalyptic number.

1122212102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122212102121 is a deficient number, since it is larger than the sum of its proper divisors (828991528983).

1122212102121 is a wasteful number, since it uses less digits than its factorization.

1122212102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387875 (or 387872 counting only the distinct ones).

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

Adding to 1122212102121 its reverse (1212012122211), we get a palindrome (2334224224332).

The spelling of 1122212102121 in words is "one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred two thousand, one hundred twenty-one".

Divisors: 1 3 9 11 23 31 33 41 69 93 99 123 207 253 279 341 369 451 713 759 943 1023 1271 1353 2139 2277 2829 3069 3813 4059 6417 7843 8487 10373 11439 13981 23529 29233 31119 41943 70587 87699 93357 125829 263097 321563 387763 964689 1163289 2894067 3489867 4265393 8918549 12020653 12796179 15898283 26755647 36061959 38388537 47694849 80266941 98104039 108185877 132227183 143084547 174881113 276475019 294312117 365660509 396681549 492846773 524643339 829425057 882936351 1096981527 1190044647 1478540319 1573930017 2488275171 3041225209 3290944581 4022265599 4435620957 5421314503 9123675627 11335475779 12066796797 16263943509 27371026881 34006427337 36200390391 48791830527 102019282011 124690233569 374070700707 1122212102121