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131892580380 = 223511229387151
BaseRepresentation
bin111101011010101101…
…0010001000000011100
3110121102211011021211110
41322311122101000130
54130104000033010
6140331323422020
712346264302261
oct1726532210034
9417384137743
10131892580380
1150a31a17850
122168a684910
13c58c00b192
1465529a1268
15366e0a8120
hex1eb569101c

131892580380 has 96 divisors (see below), whose sum is σ = 403052203008. Its totient is φ = 31959648000.

The previous prime is 131892580349. The next prime is 131892580423. The reversal of 131892580380 is 83085298131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1469805 + ... + 1556955.

It is an arithmetic number, because the mean of its divisors is an integer number (4198460448).

Almost surely, 2131892580380 is an apocalyptic number.

131892580380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131892580380 is an abundant number, since it is smaller than the sum of its proper divisors (271159622628).

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

131892580380 is a wasteful number, since it uses less digits than its factorization.

131892580380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89467 (or 89465 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 131892580380 in words is "one hundred thirty-one billion, eight hundred ninety-two million, five hundred eighty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2293 4586 6879 9172 11465 13758 22930 25223 27516 34395 45860 50446 68790 75669 87151 100892 126115 137580 151338 174302 252230 261453 302676 348604 378345 435755 504460 522906 756690 871510 958661 1045812 1307265 1513380 1743020 1917322 2614530 2875983 3834644 4793305 5229060 5751966 9586610 11503932 14379915 19173220 28759830 57519660 199837243 399674486 599511729 799348972 999186215 1199023458 1998372430 2198209673 2398046916 2997558645 3996744860 4396419346 5995117290 6594629019 8792838692 10991048365 11990234580 13189258038 21982096730 26378516076 32973145095 43964193460 65946290190 131892580380