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123130133023212 = 22347117389462481
BaseRepresentation
bin11011111111110001110111…
…110101110000100111101100
3121010222010101200021211120000
4123333301313311300213230
5112114331003023220322
61113513111402424300
734635600323660340
oct3377616765604754
9533863350254500
10123130133023212
1136262218106357
1211987540502090
135392177567c53
14225975cd7b620
15e37d6d7373ac
hex6ffc77d709ec

123130133023212 has 120 divisors (see below), whose sum is σ = 367874203176480. Its totient is φ = 35179662251520.

The previous prime is 123130133023211. The next prime is 123130133023267. The reversal of 123130133023212 is 212320331031321.

123130133023212 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 3 + 0 + 1 + 330 + 2 + 321 + 2 = 666.

It is a super-2 number, since 2×1231301330232122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123130133023211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 266007012 + ... + 266469492.

It is an arithmetic number, because the mean of its divisors is an integer number (3065618359804).

Almost surely, 2123130133023212 is an apocalyptic number.

123130133023212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123130133023212 is an abundant number, since it is smaller than the sum of its proper divisors (244744070153268).

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

123130133023212 is a wasteful number, since it uses less digits than its factorization.

123130133023212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579893 (or 579882 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123130133023212 its reverse (212320331031321), we get a palindrome (335450464054533).

The spelling of 123130133023212 in words is "one hundred twenty-three trillion, one hundred thirty billion, one hundred thirty-three million, twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 117389 234778 352167 462481 469556 704334 821723 924962 1056501 1387443 1408668 1643446 1849924 2113002 2465169 2774886 3169503 3237367 3286892 4162329 4226004 4930338 5549772 6339006 6474734 7395507 8324658 9508509 9712101 9860676 12486987 12678012 12949468 14791014 16649316 19017018 19424202 22186521 24973974 29136303 29582028 37460961 38034036 38848404 44373042 49947948 58272606 66559563 74921922 87408909 88746084 116545212 133119126 149843844 174817818 262226727 266238252 349635636 524453454 1048906908 54290182109 108580364218 162870546327 217160728436 325741092654 380031274763 488611638981 651482185308 760062549526 977223277962 1140093824289 1465834916943 1520125099052 1954446555924 2280187648578 2931669833886 3420281472867 4397504750829 4560375297156 5863339667772 6840562945734 8795009501658 10260844418601 13681125891468 17590019003316 20521688837202 30782533255803 41043377674404 61565066511606 123130133023212