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1000321101032 = 2311237125127733
BaseRepresentation
bin11101000111001111100…
…10001010110011101000
310112122000002122001021212
432203213302022303220
5112342124200213112
62043312520452252
7132161614031441
oct16434762126350
93478002561255
101000321101032
11356263201950
12141a5161a088
1373439973c56
14365b6d502c8
151b049a42522
hexe8e7c8ace8

1000321101032 has 128 divisors (see below), whose sum is σ = 2173848606720. Its totient is φ = 427072800000.

The previous prime is 1000321101023. The next prime is 1000321101049. The reversal of 1000321101032 is 2301011230001.

It is a junction number, because it is equal to n+sod(n) for n = 1000321100998 and 1000321101016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36055838 + ... + 36083570.

It is an arithmetic number, because the mean of its divisors is an integer number (16983192240).

Almost surely, 21000321101032 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 1000321101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086924303360).

1000321101032 is an abundant number, since it is smaller than the sum of its proper divisors (1173527505688).

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

1000321101032 is a wasteful number, since it uses less digits than its factorization.

1000321101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28095 (or 28091 counting only the distinct ones).

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

Adding to 1000321101032 its reverse (2301011230001), we get a palindrome (3301332331033).

The spelling of 1000321101032 in words is "one trillion, three hundred twenty-one million, one hundred one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 71 88 92 142 184 251 253 284 502 506 568 781 1004 1012 1562 1633 2008 2024 2761 3124 3266 5522 5773 6248 6532 11044 11546 13064 17821 17963 22088 23092 27733 35642 35926 46184 55466 63503 71284 71852 110932 127006 142568 143704 196031 221864 254012 305063 392062 409883 508024 610126 637859 784124 819766 1220252 1275718 1568248 1639532 1969043 2440504 2551436 3279064 3938086 4508713 5102872 6960983 7016449 7876172 9017426 13921966 14032898 15752344 18034852 21659473 27843932 28065796 36069704 43318946 45287989 55687864 56131592 76570813 86637892 90575978 153141626 160102609 173275784 181151956 306283252 320205218 362303912 494229793 498167879 612566504 640410436 988459586 996335758 1280820872 1761128699 1976919172 1992671516 3522257398 3953838344 3985343032 5436527723 7044514796 10873055446 11367285239 14089029592 21746110892 22734570478 43492221784 45469140956 90938281912 125040137629 250080275258 500160550516 1000321101032