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123421434129 = 34710719110651
BaseRepresentation
bin111001011110001111…
…1011010000100010001
3102210120110012110210000
41302330133122010101
54010231341343004
6132410553400213
711626332611010
oct1627437320421
9383513173700
10123421434129
1148385200234
121bb05709069
13b83bca62c6
145d8b8d2a77
153325543c39
hex1cbc7da111

123421434129 has 80 divisors (see below), whose sum is σ = 213811716096. Its totient is φ = 69495084000.

The previous prime is 123421434127. The next prime is 123421434131. The reversal of 123421434129 is 921434124321.

123421434129 is a `hidden beast` number, since 1 + 23 + 4 + 214 + 3 + 412 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (123421434127) and next prime (123421434131).

It is not a de Polignac number, because 123421434129 - 21 = 123421434127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123421434093 and 123421434102.

It is not an unprimeable number, because it can be changed into a prime (123421434127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11582454 + ... + 11593104.

Almost surely, 2123421434129 is an apocalyptic number.

It is an amenable number.

123421434129 is a deficient number, since it is larger than the sum of its proper divisors (90390281967).

123421434129 is a wasteful number, since it uses less digits than its factorization.

123421434129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10968 (or 10959 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 123421434129 in words is "one hundred twenty-three billion, four hundred twenty-one million, four hundred thirty-four thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 63 81 107 189 191 321 567 573 749 963 1337 1719 2247 2889 4011 5157 6741 8667 10651 12033 15471 20223 20437 31953 36099 60669 61311 74557 95859 108297 143059 183933 223671 287577 429177 551799 671013 862731 1139657 1287531 1655397 2013039 2034341 3418971 3862593 6039117 6103023 7977599 10256913 11587779 14240387 18309069 23932797 30770739 42721161 54927207 71798391 92312217 128163483 164781621 215395173 217674487 384490449 646185519 653023461 1153471347 1523721409 1959070383 4571164227 5877211149 13713492681 17631633447 41140478043 123421434129