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122343432042 = 231323433175003
BaseRepresentation
bin111000111110000111…
…1001001111101101010
3102200210022202021220210
41301330033021331222
54001024404311132
6132112004201550
711560533004536
oct1617417117552
9380708667823
10122343432042
1147981750317
121b8646992b6
13b6c9858250
145cc867cbc6
1532b0aa5bcc
hex1c7c3c9f6a

122343432042 has 128 divisors (see below), whose sum is σ = 282304382976. Its totient is φ = 35052095232.

The previous prime is 122343432023. The next prime is 122343432047. The reversal of 122343432042 is 240234343221.

It is not an unprimeable number, because it can be changed into a prime (122343432047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24451513 + ... + 24456515.

It is an arithmetic number, because the mean of its divisors is an integer number (2205502992).

Almost surely, 2122343432042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122343432042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141152191488).

122343432042 is an abundant number, since it is smaller than the sum of its proper divisors (159960950934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122343432042 is a wasteful number, since it uses less digits than its factorization.

122343432042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 122343432042 its reverse (240234343221), we get a palindrome (362577775263).

The spelling of 122343432042 in words is "one hundred twenty-two billion, three hundred forty-three million, four hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 13 23 26 39 43 46 69 78 86 129 138 258 299 317 559 598 634 897 951 989 1118 1677 1794 1902 1978 2967 3354 4121 5003 5934 7291 8242 10006 12363 12857 13631 14582 15009 21873 24726 25714 27262 30018 38571 40893 43746 65039 77142 81786 94783 115069 130078 177203 189566 195117 215129 230138 284349 313513 345207 354406 390234 430258 531609 568698 627026 645387 690414 940539 1063218 1290774 1495897 1585951 1881078 2796677 2991794 3171902 4075669 4487691 4757853 4947967 5593354 8151338 8390031 8975382 9515706 9895934 12227007 14843901 16780062 20617363 24454014 29687802 36476873 41234726 61852089 64323571 68195893 72953746 109430619 123704178 128647142 136391786 192970713 204587679 218861238 385941426 409175358 474199349 886546609 948398698 1422598047 1568505539 1773093218 2659639827 2845196094 3137011078 4705516617 5319279654 9411033234 20390572007 40781144014 61171716021 122343432042