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131202222430312 = 231115722969160013
BaseRepresentation
bin11101110101001111100101…
…110111001001100001101000
3122012112210212110121120000001
4131311033211313021201220
5114144104122420232222
61143013245140552344
736431022244564255
oct3565174567114150
9565483773546001
10131202222430312
1138894606144090
121286ba529b26b4
135829416425bc7
14245831592242c
151027d0e431e27
hex7753e5dc9868

131202222430312 has 128 divisors (see below), whose sum is σ = 271653995145600. Its totient is φ = 58912388121600.

The previous prime is 131202222430267. The next prime is 131202222430361. The reversal of 131202222430312 is 213034222202131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186200018 + ... + 2186260030.

It is an arithmetic number, because the mean of its divisors is an integer number (2122296837075).

Almost surely, 2131202222430312 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 131202222430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135826997572800).

131202222430312 is an abundant number, since it is smaller than the sum of its proper divisors (140451772715288).

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

131202222430312 is a wasteful number, since it uses less digits than its factorization.

131202222430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61107 (or 61103 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 131202222430312 its reverse (213034222202131), we get a palindrome (344236444632443).

The spelling of 131202222430312 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred twenty-two million, four hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 157 229 314 458 628 691 916 1256 1382 1727 1832 2519 2764 3454 5038 5528 6908 7601 10076 13816 15202 20152 30404 35953 60013 60808 71906 108487 120026 143812 158239 216974 240052 287624 316478 395483 433948 480104 632956 660143 790966 867896 1193357 1265912 1320286 1581932 1740629 2386714 2640572 3163864 3481258 4773428 5281144 6962516 9422041 9546856 13742977 13925032 18844082 24843523 27485954 37688164 41468983 49687046 54971908 75376328 82937966 99374092 103642451 109943816 151172747 165875932 198748184 207284902 273278753 302345494 331751864 414569804 456158813 546557506 604690988 829139608 912317626 1093115012 1209381976 1824635252 2157647389 2186230024 3649270504 4315294778 6510630331 8630589556 9496397107 13021260662 17261179112 18992794214 23734121279 26042521324 37985588428 47468242558 52085042648 71616933641 75971176856 94936485116 104460368177 143233867282 189872970232 208920736354 286467734564 417841472708 572935469128 835682945416 1490934345799 2981868691598 5963737383196 11927474766392 16400277803789 32800555607578 65601111215156 131202222430312