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131220102090 = 235711232469793
BaseRepresentation
bin111101000110101010…
…0111101101111001010
3110112200221202212001010
41322031110331233022
54122214321231330
6140140502104350
712323520315210
oct1721524755712
9415627685033
10131220102090
1150717365970
122152141b0b6
13c4b28b6a2c
1464cb54ccb0
1536300203b0
hex1e8d53dbca

131220102090 has 128 divisors (see below), whose sum is σ = 409709187072. Its totient is φ = 26081003520.

The previous prime is 131220102053. The next prime is 131220102107. The reversal of 131220102090 is 90201022131.

131220102090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1181767 + ... + 1288026.

It is an arithmetic number, because the mean of its divisors is an integer number (3200853024).

Almost surely, 2131220102090 is an apocalyptic number.

131220102090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131220102090 is an abundant number, since it is smaller than the sum of its proper divisors (278489084982).

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

131220102090 is a wasteful number, since it uses less digits than its factorization.

131220102090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469844.

The product of its (nonzero) digits is 216, while the sum is 21.

The spelling of 131220102090 in words is "one hundred thirty-one billion, two hundred twenty million, one hundred two thousand, ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 23 30 33 35 42 46 55 66 69 70 77 105 110 115 138 154 161 165 210 230 231 253 322 330 345 385 462 483 506 690 759 770 805 966 1155 1265 1518 1610 1771 2310 2415 2530 3542 3795 4830 5313 7590 8855 10626 17710 26565 53130 2469793 4939586 7409379 12348965 14818758 17288551 24697930 27167723 34577102 37046895 51865653 54335446 56805239 74093790 81503169 86442755 103731306 113610478 135838615 163006338 170415717 172885510 190174061 259328265 271677230 284026195 340831434 380348122 397636673 407515845 518656530 568052390 570522183 624857629 795273346 815031690 852078585 950870305 1141044366 1192910019 1249715258 1704157170 1874572887 1901740610 1988183365 2385820038 2852610915 3124288145 3749145774 3976366730 4374003403 5705221830 5964550095 6248576290 8748006806 9372864435 11929100190 13122010209 18745728870 21870017015 26244020418 43740034030 65610051045 131220102090