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131652231102216 = 233211374492636879
BaseRepresentation
bin11101111011110010101100…
…011101111111111100001000
3122021010211102100022200020100
4131323302230131333330020
5114223442232130232331
61144000111112325400
736505363005306456
oct3573625435777410
9567124370280210
10131652231102216
1138a484413218a0
12129231019a3860
13585c9a154c166
1424720056319d6
15103489b334ae6
hex77bcac77ff08

131652231102216 has 96 divisors (see below), whose sum is σ = 399485271369600. Its totient is φ = 38816382625920.

The previous prime is 131652231102143. The next prime is 131652231102247. The reversal of 131652231102216 is 612201132256131.

131652231102216 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 522 + 3 + 1 + 102 + 21 + 6 = 666.

It is a super-2 number, since 2×1316522311022162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2246289136 + ... + 2246347743.

It is an arithmetic number, because the mean of its divisors is an integer number (4161304910100).

Almost surely, 2131652231102216 is an apocalyptic number.

It is an amenable number.

131652231102216 is an abundant number, since it is smaller than the sum of its proper divisors (267833040267384).

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

131652231102216 is a wasteful number, since it uses less digits than its factorization.

131652231102216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492636939 (or 4492636932 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 131652231102216 its reverse (612201132256131), we get a palindrome (743853363358347).

The spelling of 131652231102216 in words is "one hundred thirty-one trillion, six hundred fifty-two billion, two hundred thirty-one million, one hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 2442 2664 3256 3663 4884 7326 9768 14652 29304 4492636879 8985273758 13477910637 17970547516 26955821274 35941095032 40433731911 49419005669 53911642548 80867463822 98838011338 107823285096 148257017007 161734927644 166227564523 197676022676 296514034014 323469855288 332455129046 395352045352 444771051021 498682693569 593028068028 664910258092 889542102042 997365387138 1186056136056 1329820516184 1496048080707 1779084204084 1828503209753 1994730774276 2992096161414 3558168408168 3657006419506 3989461548552 5485509629259 5984192322828 7314012839012 10971019258518 11968384645656 14628025678024 16456528887777 21942038517036 32913057775554 43884077034072 65826115551108 131652231102216