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1030133001321 = 33734571143643
BaseRepresentation
bin11101111110110001011…
…01100010110001101001
310122110221201222111101000
432333120231202301221
5113334203022020241
62105123033145213
7134265441015564
oct16773055426151
93573851874330
101030133001321
11367971250876
1214779155b209
13761ab08a538
1437c043d34db
151bbe1db2eb6
hexefd8b62c69

1030133001321 has 32 divisors (see below), whose sum is σ = 1550415297920. Its totient is φ = 675864974592.

The previous prime is 1030133001229. The next prime is 1030133001329. The reversal of 1030133001321 is 1231003310301.

It is a happy number.

1030133001321 is a `hidden beast` number, since 1 + 0 + 30 + 13 + 300 + 1 + 321 = 666.

It is not a de Polignac number, because 1030133001321 - 27 = 1030133001193 is a prime.

It is a super-2 number, since 2×10301330013212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1030133001294 and 1030133001303.

It is not an unprimeable number, because it can be changed into a prime (1030133001329) 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, 328926 + ... + 1472568.

It is an arithmetic number, because the mean of its divisors is an integer number (48450478060).

Almost surely, 21030133001321 is an apocalyptic number.

It is an amenable number.

1030133001321 is a deficient number, since it is larger than the sum of its proper divisors (520282296599).

1030133001321 is a wasteful number, since it uses less digits than its factorization.

1030133001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144182 (or 1144176 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1030133001321 its reverse (1231003310301), we get a palindrome (2261136311622).

The spelling of 1030133001321 in words is "one trillion, thirty billion, one hundred thirty-three million, one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 73 219 457 657 1371 1971 4113 12339 33361 100083 300249 900747 1143643 3430929 10292787 30878361 83485939 250457817 522644851 751373451 1567934553 2254120353 4703803659 14111410977 38153074123 114459222369 343377667107 1030133001321