Search a number
-
+
123330022101 = 32113136112983
BaseRepresentation
bin111001011011100001…
…0101100101011010101
3102210100002012021001100
41302313002230223111
54010034441201401
6132353530220313
711624142614436
oct1626702545325
9383302167040
10123330022101
1148338645000
121ba9ab84699
13b82607b750
145d7d6d948d
15331c4d8b86
hex1cb70acad5

123330022101 has 96 divisors (see below), whose sum is σ = 214492771584. Its totient is φ = 67859510400.

The previous prime is 123330022099. The next prime is 123330022129. The reversal of 123330022101 is 101220033321.

123330022101 is a `hidden beast` number, since 123 + 330 + 0 + 2 + 210 + 1 = 666.

It is not a de Polignac number, because 123330022101 - 21 = 123330022099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123330022601) 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, 9492856 + ... + 9505838.

It is an arithmetic number, because the mean of its divisors is an integer number (2234299704).

Almost surely, 2123330022101 is an apocalyptic number.

123330022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123330022101 is a deficient number, since it is larger than the sum of its proper divisors (91162749483).

123330022101 is a wasteful number, since it uses less digits than its factorization.

123330022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13096 (or 13071 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123330022101 its reverse (101220033321), we get a palindrome (224550055422).

The spelling of 123330022101 in words is "one hundred twenty-three billion, three hundred thirty million, twenty-two thousand, one hundred one".

Divisors: 1 3 9 11 13 33 39 61 99 117 121 143 183 363 429 549 671 793 1089 1287 1331 1573 2013 2379 3993 4719 6039 7137 7381 8723 11979 12983 14157 17303 22143 26169 38949 51909 66429 78507 81191 95953 116847 142813 155727 168779 243573 287859 428439 506337 730719 791963 863577 1055483 1285317 1519011 1570943 1856569 2375889 3166449 4712829 5569707 7127667 8711593 9499347 10295519 14138487 16709121 17280373 20422259 26134779 30886557 51841119 61266777 78404337 92659671 95827523 113250709 155523357 183800331 224644849 287482569 339752127 673934547 862447707 1019256381 1054102753 1245757799 2021803641 3162308259 3737273397 9486924777 11211820191 13703335789 41110007367 123330022101