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123131031212 = 227217295324043
BaseRepresentation
bin111001010101100101…
…1100110111010101100
3102202211012202110212102
41302223023212322230
54004133020444322
6132322101154232
711616205332200
oct1625313467254
9382735673772
10123131031212
1148246291222
121ba443bb978
13b7c3a88867
145d610dab00
153309ccd792
hex1cab2e6eac

123131031212 has 144 divisors (see below), whose sum is σ = 279748092960. Its totient is φ = 47046924288.

The previous prime is 123131031209. The next prime is 123131031259. The reversal of 123131031212 is 212130131321.

It is a happy number.

It is a super-2 number, since 2×1231310312122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5109263 + ... + 5133305.

It is an arithmetic number, because the mean of its divisors is an integer number (1942695090).

Almost surely, 2123131031212 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 123131031212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139874046480).

123131031212 is an abundant number, since it is smaller than the sum of its proper divisors (156617061748).

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

123131031212 is a wasteful number, since it uses less digits than its factorization.

123131031212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24160 (or 24151 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123131031212 its reverse (212130131321), we get a palindrome (335261162533).

The spelling of 123131031212 in words is "one hundred twenty-three billion, one hundred thirty-one million, thirty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 29 34 49 53 58 68 98 106 116 119 196 203 212 238 371 406 476 493 742 812 833 901 986 1421 1484 1537 1666 1802 1972 2597 2842 3074 3332 3451 3604 5194 5684 6148 6307 6902 10388 10759 12614 13804 21518 24043 24157 25228 26129 43036 44149 48086 48314 52258 75313 88298 96172 96628 104516 150626 168301 176596 182903 301252 336602 365806 408731 673204 697247 731612 817462 1178107 1274279 1280321 1394494 1634924 2356214 2548558 2560642 2788988 2861117 4712428 4880729 5097116 5121284 5722234 8919953 9761458 11444468 11853199 17839906 19522916 20027819 21662743 23706398 34165103 35679812 36954091 40055638 43325486 47412796 62439671 68330206 73908182 80111276 82972393 86650972 124879342 136660412 147816364 151639201 165944786 249758684 258678637 303278402 331889572 517357274 580806751 606556804 628219547 1034714548 1061474407 1161613502 1256439094 1810750459 2122948814 2323227004 2512878188 3621500918 4245897628 4397536829 7243001836 8795073658 17590147316 30782757803 61565515606 123131031212