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131023221210 = 23257235982759
BaseRepresentation
bin111101000000110010…
…1111011000111011010
3110112012020022021020200
41322001211323013122
54121313421034320
6140105150203030
712315610001400
oct1720145730732
9415166267220
10131023221210
11506262133a2
12214874b3476
13c480b8237b
1464ad33d470
15361cad0290
hex1e8197b1da

131023221210 has 144 divisors (see below), whose sum is σ = 397387036800. Its totient is φ = 29864382912.

The previous prime is 131023221179. The next prime is 131023221221. The reversal of 131023221210 is 12122320131.

131023221210 is a `hidden beast` number, since 1 + 310 + 232 + 2 + 121 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1541811 + ... + 1624569.

It is an arithmetic number, because the mean of its divisors is an integer number (2759632200).

Almost surely, 2131023221210 is an apocalyptic number.

131023221210 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 131023221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198693518400).

131023221210 is an abundant number, since it is smaller than the sum of its proper divisors (266363815590).

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

131023221210 is a wasteful number, since it uses less digits than its factorization.

131023221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83145 (or 83135 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131023221210 its reverse (12122320131), we get a palindrome (143145541341).

The spelling of 131023221210 in words is "one hundred thirty-one billion, twenty-three million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 359 441 490 630 718 735 882 1077 1470 1795 2154 2205 2513 3231 3590 4410 5026 5385 6462 7539 10770 12565 15078 16155 17591 22617 25130 32310 35182 37695 45234 52773 75390 82759 87955 105546 113085 158319 165518 175910 226170 248277 263865 316638 413795 496554 527730 579313 744831 791595 827590 1158626 1241385 1489662 1583190 1737939 2482770 2896565 3475878 3724155 4055191 5213817 5793130 7448310 8110382 8689695 10427634 12165573 17379390 20275955 24331146 26069085 29710481 36496719 40551910 52138170 59420962 60827865 72993438 89131443 121655730 148552405 178262886 182483595 207973367 267394329 297104810 364967190 415946734 445657215 534788658 623920101 891314430 1039866835 1247840202 1336971645 1455813569 1871760303 2079733670 2673943290 2911627138 3119600505 3743520606 4367440707 6239201010 7279067845 8734881414 9358801515 13102322121 14558135690 18717603030 21837203535 26204644242 43674407070 65511610605 131023221210