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123131221104 = 24329839710987
BaseRepresentation
bin111001010101100110…
…0010101010001110000
3102202211020010010100110
41302223030111101300
54004133043033404
6132322105221320
711616210052623
oct1625314252160
9382736103313
10123131221104
1148246400961
121ba44491840
13b7c3b24118
145d61149dba
153309d19b89
hex1cab315470

123131221104 has 160 divisors (see below), whose sum is σ = 336485963520. Its totient is φ = 38743842816.

The previous prime is 123131221099. The next prime is 123131221159. The reversal of 123131221104 is 401122131321.

It is a super-2 number, since 2×1231312211042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11201499 + ... + 11212485.

It is an arithmetic number, because the mean of its divisors is an integer number (2103037272).

Almost surely, 2123131221104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123131221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168242981760).

123131221104 is an abundant number, since it is smaller than the sum of its proper divisors (213354742416).

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

123131221104 is a wasteful number, since it uses less digits than its factorization.

123131221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 123131221104 its reverse (401122131321), we get a palindrome (524253352425).

The spelling of 123131221104 in words is "one hundred twenty-three billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 83 87 97 116 166 174 194 232 249 291 332 348 388 464 498 582 664 696 776 996 1164 1328 1392 1552 1992 2328 2407 2813 3984 4656 4814 5626 7221 8051 8439 9628 10987 11252 14442 16102 16878 19256 21974 22504 24153 28884 32204 32961 33756 38512 43948 45008 48306 57768 64408 65922 67512 87896 96612 115536 128816 131844 135024 175792 193224 233479 263688 318623 386448 466958 527376 637246 700437 911921 933916 955869 1065739 1274492 1400874 1823842 1867832 1911738 2131478 2548984 2735763 2801748 3197217 3647684 3735664 3823476 4262956 5097968 5471526 5603496 6394434 7295368 7646952 8525912 10943052 11206992 12788868 14590736 15293904 17051824 21886104 25577736 26445709 30906431 43772208 51155472 52891418 61812862 79337127 88456337 92719293 105782836 123625724 158674254 176912674 185438586 211565672 247251448 265369011 317348508 353825348 370877172 423131344 494502896 530738022 634697016 707650696 741754344 1061476044 1269394032 1415301392 1483508688 2122952088 2565233773 4245904176 5130467546 7695701319 10260935092 15391402638 20521870184 30782805276 41043740368 61565610552 123131221104