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131132222331210 = 23351785393345721
BaseRepresentation
bin11101110100001110011001…
…100001111101100101001010
3122012022010012001002002012000
4131310032121201331211022
5114141432242404044320
61142521151123531430
736422663466552552
oct3564163141754512
9565263161062160
10131132222331210
1138867954994611
121285a377b29b76
13582293bc75419
142454b94cc2162
1510260b3d01c90
hex77439987d94a

131132222331210 has 128 divisors (see below), whose sum is σ = 370299157804800. Its totient is φ = 32907752478720.

The previous prime is 131132222331181. The next prime is 131132222331223. The reversal of 131132222331210 is 12133222231131.

131132222331210 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 322 + 2 + 2 + 331 + 2 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37521150 + ... + 40866870.

It is an arithmetic number, because the mean of its divisors is an integer number (2892962170350).

Almost surely, 2131132222331210 is an apocalyptic number.

131132222331210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131132222331210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185149578902400).

131132222331210 is an abundant number, since it is smaller than the sum of its proper divisors (239166935473590).

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

131132222331210 is a wasteful number, since it uses less digits than its factorization.

131132222331210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354293 (or 3354287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131132222331210 its reverse (12133222231131), we get a palindrome (143265444562341).

The spelling of 131132222331210 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, two hundred twenty-two million, three hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 8539 17078 25617 42695 51234 76851 85390 128085 145163 153702 230553 256170 290326 384255 435489 461106 725815 768510 870978 1152765 1306467 1451630 2177445 2305530 2612934 3345721 3919401 4354890 6532335 6691442 7838802 10037163 13064670 16728605 19597005 20074326 30111489 33457210 39194010 50185815 56877257 60222978 90334467 100371630 113754514 150557445 170631771 180668934 284386285 301114890 341263542 451672335 511895313 568772570 853158855 903344670 1023790626 1535685939 1706317710 2559476565 3071371878 5118953130 7678429695 15356859390 28569111619 57138223238 85707334857 142845558095 171414669714 257122004571 285691116190 428536674285 485674897523 514244009142 771366013713 857073348570 971349795046 1285610022855 1457024692569 1542732027426 2428374487615 2571220045710 2914049385138 3856830068565 4371074077707 4856748975230 7285123462845 7713660137130 8742148155414 13113222233121 14570246925690 21855370388535 26226444466242 43710740777070 65566111165605 131132222331210