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1001112300032 = 29131273473413
BaseRepresentation
bin11101001000101101111…
…00010110101000000000
310112201001020102010021112
432210112330112220000
5112400234222100112
62043523222542452
7132220332101165
oct16442674265000
93481036363245
101001112300032
11356629881419
12142032597a28
1373534864c40
143665006806c
151b09422ba22
hexe916f16a00

1001112300032 has 160 divisors (see below), whose sum is σ = 2177992599552. Its totient is φ = 456958623744.

The previous prime is 1001112299959. The next prime is 1001112300037. The reversal of 1001112300032 is 2300032111001.

It is a super-2 number, since 2×10011123000322 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001112300037) 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 15 ways as a sum of consecutive naturals, for example, 293321558 + ... + 293324970.

Almost surely, 21001112300032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001112300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088996299776).

1001112300032 is an abundant number, since it is smaller than the sum of its proper divisors (1176880299520).

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

1001112300032 is a wasteful number, since it uses less digits than its factorization.

1001112300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1001112300032 its reverse (2300032111001), we get a palindrome (3301144411033).

The spelling of 1001112300032 in words is "one trillion, one billion, one hundred twelve million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 347 416 508 512 694 832 1016 1388 1651 1664 2032 2776 3302 3328 3413 4064 4511 5552 6604 6656 6826 8128 9022 11104 13208 13652 16256 18044 22208 26416 27304 32512 36088 44069 44369 44416 52832 54608 65024 72176 88138 88738 88832 105664 109216 144352 176276 177476 177664 211328 218432 288704 352552 354952 422656 433451 436864 572897 577408 705104 709904 845312 866902 873728 1145794 1154816 1184311 1410208 1419808 1733804 1747456 2291588 2309632 2368622 2820416 2839616 3467608 4583176 4737244 5634863 5640832 5679232 6935216 9166352 9474488 11269726 11281664 11358464 13870432 15396043 18332704 18948976 22539452 22563328 22716928 27740864 30792086 36665408 37897952 45078904 55481728 61584172 73330816 75795904 90157808 110963456 123168344 146661632 150407497 151591808 180315616 221926912 246336688 293323264 300814994 303183616 360631232 492673376 601629988 606367232 721262464 985346752 1203259976 1442524928 1955297461 1970693504 2406519952 2885049856 3910594922 3941387008 4813039904 7821189844 7882774016 9626079808 15642379688 19252159616 31284759376 38504319232 62569518752 77008638464 125139037504 250278075008 500556150016 1001112300032