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131220210 = 2351131101127
BaseRepresentation
bin1111101001001…
…00001011110010
3100010220200021210
413310210023302
5232043021320
621004300550
73152232132
oct764441362
9303820253
10131220210
1168085760
1237b41756
1321254cc4
14135daac2
15b7c00e0
hex7d242f2

131220210 has 128 divisors (see below), whose sum is σ = 360972288. Its totient is φ = 30240000.

The previous prime is 131220197. The next prime is 131220223. The reversal of 131220210 is 12022131.

It is an interprime number because it is at equal distance from previous prime (131220197) and next prime (131220223).

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, 1033167 + ... + 1033293.

It is an arithmetic number, because the mean of its divisors is an integer number (2820096).

Almost surely, 2131220210 is an apocalyptic number.

131220210 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 131220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180486144).

131220210 is an abundant number, since it is smaller than the sum of its proper divisors (229752078).

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

131220210 is a wasteful number, since it uses less digits than its factorization.

131220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131220210 is about 11455.1390214174. The cubic root of 131220210 is about 508.1597266759.

Adding to 131220210 its reverse (12022131), we get a palindrome (143242341).

The spelling of 131220210 in words is "one hundred thirty-one million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 101 110 127 155 165 186 202 254 303 310 330 341 381 465 505 606 635 682 762 930 1010 1023 1111 1270 1397 1515 1705 1905 2046 2222 2794 3030 3131 3333 3410 3810 3937 4191 5115 5555 6262 6666 6985 7874 8382 9393 10230 11110 11811 12827 13970 15655 16665 18786 19685 20955 23622 25654 31310 33330 34441 38481 39370 41910 43307 46965 59055 64135 68882 76962 86614 93930 103323 118110 128270 129921 141097 172205 192405 206646 216535 259842 282194 344410 384810 397637 423291 433070 516615 649605 705485 795274 846582 1033230 1192911 1299210 1410970 1988185 2116455 2385822 3976370 4232910 4374007 5964555 8748014 11929110 13122021 21870035 26244042 43740070 65610105 131220210