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105450131542000 = 2453715149881803
BaseRepresentation
bin10111111110100000000101…
…101000011100111111110000
3111211100221012222100020000111
4113332200011220130333300
5102310143332133321000
61012135042140231104
731132343363653510
oct2776400550347760
9454327188306014
10105450131542000
11306661711a3583
12b9b0b3783b494
1346abb9b92385b
141c07b5672d840
15c2ceeeab4cba
hex5fe805a1cff0

105450131542000 has 160 divisors (see below), whose sum is σ = 293333739439104. Its totient is φ = 35914897440000.

The previous prime is 105450131541943. The next prime is 105450131542001. The reversal of 105450131542000 is 245131054501.

It is a super-2 number, since 2×1054501315420002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105450131542001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22826902 + ... + 27054901.

Almost surely, 2105450131542000 is an apocalyptic number.

105450131542000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105450131542000 is an abundant number, since it is smaller than the sum of its proper divisors (187883607897104).

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

105450131542000 is a wasteful number, since it uses less digits than its factorization.

105450131542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49881984 (or 49881968 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

Adding to 105450131542000 its reverse (245131054501), we get a palindrome (105695262596501).

The spelling of 105450131542000 in words is "one hundred five trillion, four hundred fifty billion, one hundred thirty-one million, five hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 151 175 200 250 280 302 350 400 500 560 604 700 755 875 1000 1057 1208 1400 1510 1750 2000 2114 2416 2800 3020 3500 3775 4228 5285 6040 7000 7550 8456 10570 12080 14000 15100 16912 18875 21140 26425 30200 37750 42280 52850 60400 75500 84560 105700 132125 151000 211400 264250 302000 422800 528500 1057000 2114000 49881803 99763606 199527212 249409015 349172621 399054424 498818030 698345242 798108848 997636060 1247045075 1396690484 1745863105 1995272120 2494090150 2793380968 3491726210 3990544240 4988180300 5586761936 6235225375 6983452420 7532152253 8729315525 9976360600 12470450750 13966904840 15064304506 17458631050 19952721200 24940901500 27933809680 30128609012 34917262100 37660761265 43646577625 49881803000 52725065771 60257218024 69834524200 75321522530 87293155250 99763606000 105450131542 120514436048 139669048400 150643045060 174586310500 188303806325 210900263084 263625328855 301286090120 349172621000 376607612650 421800526168 527250657710 602572180240 698345242000 753215225300 843601052336 941519031625 1054501315420 1318126644275 1506430450600 1883038063250 2109002630840 2636253288550 3012860901200 3766076126500 4218005261680 5272506577100 6590633221375 7532152253000 10545013154200 13181266442750 15064304506000 21090026308400 26362532885500 52725065771000 105450131542000