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105231222520000 = 26543737053031
BaseRepresentation
bin10111111011010100001101…
…101000110011100011000000
3111210121000011211101200201221
4113323110031220303203000
5102243102020431120000
61011450320052204424
731110463535661463
oct2773241550634300
9453530154350657
10105231222520000
1130591346816275
12b976623609714
134694352c6c085
141bdb30b1d72da
15c2748b57761a
hex5fb50da338c0

105231222520000 has 140 divisors (see below), whose sum is σ = 261638837784016. Its totient is φ = 41979634560000.

The previous prime is 105231222519967. The next prime is 105231222520001. The reversal of 105231222520000 is 25222132501.

It is a super-2 number, since 2×1052312225200002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (105231222520001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11393485 + ... + 18446515.

Almost surely, 2105231222520000 is an apocalyptic number.

105231222520000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105231222520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130819418892008).

105231222520000 is an abundant number, since it is smaller than the sum of its proper divisors (156407615264016).

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

105231222520000 is an frugal number, since it uses more digits than its factorization.

105231222520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053436 (or 7053411 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105231222520000 its reverse (25222132501), we get a palindrome (105256444652501).

The spelling of 105231222520000 in words is "one hundred five trillion, two hundred thirty-one billion, two hundred twenty-two million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 373 400 500 625 746 800 1000 1250 1492 1600 1865 2000 2500 2984 3730 4000 5000 5968 7460 8000 9325 10000 11936 14920 18650 20000 23872 29840 37300 40000 46625 59680 74600 93250 119360 149200 186500 233125 298400 373000 466250 596800 746000 932500 1492000 1865000 2984000 3730000 7053031 7460000 14106062 14920000 28212124 35265155 56424248 70530310 112848496 141060620 176325775 225696992 282121240 352651550 451393984 564242480 705303100 881628875 1128484960 1410606200 1763257750 2256969920 2630780563 2821212400 3526515500 4408144375 5261561126 5642424800 7053031000 8816288750 10523122252 11284849600 13153902815 14106062000 17632577500 21046244504 26307805630 28212124000 35265155000 42092489008 52615611260 56424248000 65769514075 70530310000 84184978016 105231222520 131539028150 141060620000 168369956032 210462445040 263078056300 282121240000 328847570375 420924890080 526156112600 657695140750 841849780160 1052312225200 1315390281500 1644237851875 2104624450400 2630780563000 3288475703750 4209248900800 5261561126000 6576951407500 10523122252000 13153902815000 21046244504000 26307805630000 52615611260000 105231222520000