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131130121010 = 25717163787859
BaseRepresentation
bin111101000011111110…
…1101101101100110010
3110112110200110100012112
41322013331231230302
54122023302333020
6140123525325322
712321345431540
oct1720775555462
9415420410175
10131130121010
1150680597839
12214b7266842
13c49a0705a5
1464bd608d90
1536271992c5
hex1e87f6db32

131130121010 has 128 divisors (see below), whose sum is σ = 288073635840. Its totient is φ = 41952328704.

The previous prime is 131130120977. The next prime is 131130121021. The reversal of 131130121010 is 10121031131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152653961 + ... + 152654819.

It is an arithmetic number, because the mean of its divisors is an integer number (2250575280).

Almost surely, 2131130121010 is an apocalyptic number.

131130121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131130121010 is an abundant number, since it is smaller than the sum of its proper divisors (156943514830).

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

131130121010 is a wasteful number, since it uses less digits than its factorization.

131130121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131130121010 its reverse (10121031131), we get a palindrome (141251152141).

The spelling of 131130121010 in words is "one hundred thirty-one billion, one hundred thirty million, one hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 163 170 238 326 595 787 815 859 1141 1190 1574 1630 1718 2282 2771 3935 4295 5509 5542 5705 6013 7870 8590 11018 11410 12026 13379 13855 14603 19397 26758 27545 27710 29206 30065 38794 55090 60130 66895 73015 93653 96985 102221 128281 133790 140017 146030 187306 193970 204442 256562 280034 468265 511105 641405 676033 700085 897967 936530 980119 1022210 1282810 1352066 1400170 1795934 1960238 2180777 2380289 3380165 4361554 4489835 4732231 4760578 4900595 6760330 8979670 9464462 9801190 10903885 11492561 11901445 15265439 16662023 21807770 22985122 23661155 23802890 30530878 33324046 47322310 57462805 76327195 80447927 83310115 110193379 114925610 152654390 160895854 166620230 220386758 402239635 550966895 771353653 804479270 1101933790 1542707306 1873287443 3746574886 3856768265 7713536530 9366437215 13113012101 18732874430 26226024202 65565060505 131130121010