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101244440000 = 265411230101
BaseRepresentation
bin101111001001010100…
…0111000110111000000
3100200022220021110000002
41132102220320313000
53124322034040000
6114302215415132
710212634353314
oct1362250706700
9320286243002
10101244440000
1139a34935310
12177566844a8
139716593682
144c8643bb44
1529786028d5
hex1792a38dc0

101244440000 has 140 divisors (see below), whose sum is σ = 273877524888. Its totient is φ = 36816000000.

The previous prime is 101244439999. The next prime is 101244440039. The reversal of 101244440000 is 44442101.

It is a happy number.

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

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 19 ways as a sum of consecutive naturals, for example, 324950 + ... + 555050.

Almost surely, 2101244440000 is an apocalyptic number.

101244440000 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 101244440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136938762444).

101244440000 is an abundant number, since it is smaller than the sum of its proper divisors (172633084888).

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

101244440000 is an equidigital number, since it uses as much as digits as its factorization.

101244440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230144 (or 230119 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 101244440000 its reverse (44442101), we get a palindrome (101288882101).

The spelling of 101244440000 in words is "one hundred one billion, two hundred forty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 230101 440000 460202 920404 1150505 1840808 2301010 2531111 3681616 4602020 5062222 5752525 7363232 9204040 10124444 11505050 12655555 14726464 18408080 20248888 23010100 25311110 28762625 36816160 40497776 46020200 50622220 57525250 63277775 73632320 80995552 92040400 101244440 115050500 126555550 143813125 161991104 184080800 202488880 230101000 253111100 287626250 316388875 368161600 404977760 460202000 506222200 575252500 632777750 809955520 920404000 1012444400 1150505000 1265555500 1581944375 1840808000 2024888800 2301010000 2531111000 3163888750 4049777600 4602020000 5062222000 6327777500 9204040000 10124444000 12655555000 20248888000 25311110000 50622220000 101244440000