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1001112324100 = 225277943341809
BaseRepresentation
bin11101001000101101111…
…00011100100000000100
310112201001020110100021221
432210112330130200010
5112400234223332400
62043523223250124
7132220332231310
oct16442674344004
93481036410257
101001112324100
11356629898509
121420325a9944
1373534872b95
1436650072b40
151b094233c1a
hexe916f1c804

1001112324100 has 144 divisors (see below), whose sum is σ = 2520052595200. Its totient is φ = 338102968320.

The previous prime is 1001112324071. The next prime is 1001112324103. The reversal of 1001112324100 is 14232111001.

It is not an unprimeable number, because it can be changed into a prime (1001112324103) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23923996 + ... + 23965804.

Almost surely, 21001112324100 is an apocalyptic number.

1001112324100 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 1001112324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260026297600).

1001112324100 is an abundant number, since it is smaller than the sum of its proper divisors (1518940271100).

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

1001112324100 is a wasteful number, since it uses less digits than its factorization.

1001112324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42342 (or 42335 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1001112324100 its reverse (14232111001), we get a palindrome (1015344435101).

The spelling of 1001112324100 in words is "one trillion, one billion, one hundred twelve million, three hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 433 553 700 790 866 1106 1580 1732 1975 2165 2212 2765 3031 3950 4330 5530 6062 7900 8660 10825 11060 12124 13825 15155 21650 27650 30310 34207 41809 43300 55300 60620 68414 75775 83618 136828 151550 167236 171035 209045 239449 292663 303100 342070 418090 478898 585326 684140 836180 855175 957796 1045225 1170652 1197245 1463315 1710350 2090450 2394490 2926630 3302911 3420700 4180900 4788980 5853260 5986225 6605822 7316575 11972450 13211644 14633150 16514555 18103297 23120377 23944900 29266300 33029110 36206594 46240754 66058220 72413188 82572775 90516485 92481508 115601885 126723079 165145550 181032970 231203770 253446158 330291100 362065940 452582425 462407540 506892316 578009425 633615395 905164850 1156018850 1267230790 1430160463 1810329700 2312037700 2534461580 2860320926 3168076975 5720641852 6336153950 7150802315 10011123241 12672307900 14301604630 20022246482 28603209260 35754011575 40044492964 50055616205 71508023150 100111232410 143016046300 200222464820 250278081025 500556162050 1001112324100