Search a number
-
+
121012211111103 = 321371107136144847
BaseRepresentation
bin11011100000111101011001…
…110110110101010010111111
3120212110122200001120011202200
4123200331121312311102333
5111330131002021023403
61105212124201522543
734326562254522204
oct3340753166652277
9525418601504680
10121012211111103
1135615a99432664
12116a4b887a3453
13526a530504830
1421c5045169cab
15decc12e3dca3
hex6e0f59db54bf

121012211111103 has 48 divisors (see below), whose sum is σ = 192676545524736. Its totient is φ = 72734022527040.

The previous prime is 121012211111089. The next prime is 121012211111117. The reversal of 121012211111103 is 301111112210121.

It is an interprime number because it is at equal distance from previous prime (121012211111089) and next prime (121012211111117).

It is not a de Polignac number, because 121012211111103 - 26 = 121012211111039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012211111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67183575 + ... + 68961272.

It is an arithmetic number, because the mean of its divisors is an integer number (4014094698432).

Almost surely, 2121012211111103 is an apocalyptic number.

121012211111103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

121012211111103 is a deficient number, since it is larger than the sum of its proper divisors (71664334413633).

121012211111103 is a wasteful number, since it uses less digits than its factorization.

121012211111103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136145044 (or 136145041 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 121012211111103 its reverse (301111112210121), we get a palindrome (422123323321224).

The spelling of 121012211111103 in words is "one hundred twenty-one trillion, twelve billion, two hundred eleven million, one hundred eleven thousand, one hundred three".

Divisors: 1 3 9 13 39 71 107 117 213 321 639 923 963 1391 2769 4173 7597 8307 12519 22791 68373 98761 296283 888849 136144847 408434541 1225303623 1769883011 5309649033 9666284137 14567498629 15928947099 28998852411 43702495887 86996557233 125661693781 131107487661 189377482177 376985081343 568132446531 1034292402659 1130955244029 1704397339593 3102877207977 9308631623931 13445801234567 40337403703701 121012211111103