Search a number
-
+
1112121121001 = 111931991173209
BaseRepresentation
bin10000001011101111100…
…101011001100011101001
310221022120122002111212012
4100023233211121203221
5121210111001333001
62210522411125305
7143230253361512
oct20135745314351
93838518074765
101112121121001
1139971441a670
1215b653143835
1380b4606a017
143bb81213a09
151dddeb992bb
hex102ef9598e9

1112121121001 has 32 divisors (see below), whose sum is σ = 1319610777600. Its totient is φ = 925969968000.

The previous prime is 1112121120947. The next prime is 1112121121021. The reversal of 1112121121001 is 1001211212111.

It is not a de Polignac number, because 1112121121001 - 226 = 1112054012137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1112121121021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6334085 + ... + 6507293.

It is an arithmetic number, because the mean of its divisors is an integer number (41237836800).

Almost surely, 21112121121001 is an apocalyptic number.

1112121121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1112121121001 is a deficient number, since it is larger than the sum of its proper divisors (207489656599).

1112121121001 is a wasteful number, since it uses less digits than its factorization.

1112121121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174261.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1112121121001 its reverse (1001211212111), we get a palindrome (2113332333112).

The spelling of 1112121121001 in words is "one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, one".

Divisors: 1 11 19 31 209 341 589 991 6479 10901 18829 30721 173209 207119 337931 583699 1905299 3290971 5369479 6420689 36200681 59064269 102020101 171650119 1122221111 1888151309 3261352261 5321153689 35874874871 58532690579 101101920091 1112121121001