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123130011102 = 237311392292971
BaseRepresentation
bin111001010101100011…
…1101101110111011110
3102202211010211122112120
41302223013231313132
54004132240323402
6132322023243410
711616163553130
oct1625307556736
9382733748476
10123130011102
114824575485a
121ba43ba9566
13b7c37bc447
145d60d13050
153309b7b3bc
hex1cab1eddde

123130011102 has 128 divisors (see below), whose sum is σ = 293985484800. Its totient is φ = 33641308800.

The previous prime is 123130011101. The next prime is 123130011167. The reversal of 123130011102 is 201110031321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130011101) 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, 41442477 + ... + 41445447.

It is an arithmetic number, because the mean of its divisors is an integer number (2296761600).

Almost surely, 2123130011102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123130011102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146992742400).

123130011102 is an abundant number, since it is smaller than the sum of its proper divisors (170855473698).

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

123130011102 is a wasteful number, since it uses less digits than its factorization.

123130011102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 123130011102 its reverse (201110031321), we get a palindrome (324240042423).

The spelling of 123130011102 in words is "one hundred twenty-three billion, one hundred thirty million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 139 186 217 229 278 417 434 458 651 687 834 973 1302 1374 1603 1946 2919 2971 3206 4309 4809 5838 5942 7099 8618 8913 9618 12927 14198 17826 20797 21297 25854 30163 31831 41594 42594 49693 60326 62391 63662 90489 92101 95493 99386 124782 149079 180978 184202 190986 222817 276303 298158 412969 445634 552606 644707 668451 680359 825938 986761 1238907 1289414 1336902 1360718 1934121 1973522 2041077 2477814 2890783 2960283 3868242 4082154 4762513 5781566 5920566 6907327 8672349 9525026 12802039 13814654 14287539 17344698 20721981 21091129 25604078 28575078 38406117 41443962 42182258 63273387 76812234 89614273 94569901 126546774 147637903 179228546 189139802 268842819 283709703 295275806 442913709 537685638 567419406 661989307 885827418 1323978614 1985967921 2931666931 3971935842 5863333862 8795000793 17590001586 20521668517 41043337034 61565005551 123130011102