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1051121310500 = 225371113262027
BaseRepresentation
bin11110100101110111011…
…01100101101100100100
310201111010110012001221102
433102323231211230210
5114210144023414000
62122513425335232
7135640523502422
oct17227355455444
93644113161842
101051121310500
11375861639138
1214b86a497518
137817443acb1
1438c35a62112
151c51e7a13d5
hexf4bbb65b24

1051121310500 has 96 divisors (see below), whose sum is σ = 2348592599808. Its totient is φ = 410856768000.

The previous prime is 1051121310497. The next prime is 1051121310509. The reversal of 1051121310500 is 50131211501.

It is a happy number.

It is a super-2 number, since 2×10511213105002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1051121310509) 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 31 ways as a sum of consecutive naturals, for example, 3880487 + ... + 4142513.

It is an arithmetic number, because the mean of its divisors is an integer number (24464506248).

Almost surely, 21051121310500 is an apocalyptic number.

1051121310500 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 1051121310500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174296299904).

1051121310500 is an abundant number, since it is smaller than the sum of its proper divisors (1297471289308).

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

1051121310500 is a wasteful number, since it uses less digits than its factorization.

1051121310500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262230 (or 262218 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

1051121310500 divided by its sum of digits (20) gives a palindrome (52556065525).

The spelling of 1051121310500 in words is "one trillion, fifty-one billion, one hundred twenty-one million, three hundred ten thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 113 125 142 226 250 284 355 452 500 565 710 1130 1420 1775 2260 2825 3550 5650 7100 8023 8875 11300 14125 16046 17750 28250 32092 35500 40115 56500 80230 160460 200575 262027 401150 524054 802300 1002875 1048108 1310135 2005750 2620270 4011500 5240540 6550675 13101350 18603917 26202700 29609051 32753375 37207834 59218102 65506750 74415668 93019585 118436204 131013500 148045255 186039170 296090510 372078340 465097925 592181020 740226275 930195850 1480452550 1860391700 2102242621 2325489625 2960905100 3701131375 4204485242 4650979250 7402262750 8408970484 9301958500 10511213105 14804525500 21022426210 42044852420 52556065525 105112131050 210224262100 262780327625 525560655250 1051121310500