Search a number
-
+
131310132221100 = 223527331188908261
BaseRepresentation
bin11101110110110100000101…
…110010010101010010101100
3122012221010101212220220101010
4131312310011302111102230
5114202341122322033400
61143135013022145220
736441562325636310
oct3566640562252254
9565833355826333
10131310132221100
1138926350433068
1212888949722210
135836652882511
14245d631287b40
15102aa27c98450
hex776d05c954ac

131310132221100 has 144 divisors (see below), whose sum is σ = 435510618480896. Its totient is φ = 29923068384000.

The previous prime is 131310132221071. The next prime is 131310132221123. The reversal of 131310132221100 is 1122231013131.

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 47 ways as a sum of consecutive naturals, for example, 93759031 + ... + 95149230.

Almost surely, 2131310132221100 is an apocalyptic number.

131310132221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131310132221100 is an abundant number, since it is smaller than the sum of its proper divisors (304200486259796).

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

131310132221100 is a wasteful number, since it uses less digits than its factorization.

131310132221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188908616 (or 188908609 counting only the distinct ones).

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

Adding to 131310132221100 its reverse (1122231013131), we get a palindrome (132432363234231).

The spelling of 131310132221100 in words is "one hundred thirty-one trillion, three hundred ten billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 331 350 420 525 662 700 993 1050 1324 1655 1986 2100 2317 3310 3972 4634 4965 6620 6951 8275 9268 9930 11585 13902 16550 19860 23170 24825 27804 33100 34755 46340 49650 57925 69510 99300 115850 139020 173775 231700 347550 695100 188908261 377816522 566724783 755633044 944541305 1133449566 1322357827 1889082610 2266899132 2644715654 2833623915 3778165220 3967073481 4722706525 5289431308 5667247830 6611789135 7934146962 9445413050 11334495660 13223578270 14168119575 15868293924 18890826100 19835367405 26447156540 28336239150 33058945675 39670734810 56672478300 62528634391 66117891350 79341469620 99176837025 125057268782 132235782700 187585903173 198353674050 250114537564 312643171955 375171806346 396707348100 437700440737 625286343910 750343612692 875400881474 937929515865 1250572687820 1313101322211 1563215859775 1750801762948 1875859031730 2188502203685 2626202644422 3126431719550 3751718063460 4377004407370 4689647579325 5252405288844 6252863439100 6565506611055 8754008814740 9379295158650 10942511018425 13131013222110 18758590317300 21885022036850 26262026444220 32827533055275 43770044073700 65655066110550 131310132221100