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103330150632 = 2334159460109
BaseRepresentation
bin110000000111011110…
…1001111100011101000
3100212201020220112010000
41200032331033203220
53143110004310012
6115245203423000
710315421534322
oct1401675174350
9325636815100
10103330150632
113a9051a3605
1218039084a60
13998971a487
145003448612
152a4b795ddc
hex180ef4f8e8

103330150632 has 40 divisors (see below), whose sum is σ = 289420099650. Its totient is φ = 34443383328.

The previous prime is 103330150631. The next prime is 103330150643. The reversal of 103330150632 is 236051033301.

It is a happy number.

103330150632 is a `hidden beast` number, since 10 + 3 + 3 + 3 + 0 + 15 + 0 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84433249476 + 18896901156 = 290574^2 + 137466^2 .

It is a super-3 number, since 3×1033301506323 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103330150596 and 103330150605.

It is not an unprimeable number, because it can be changed into a prime (103330150631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79729407 + ... + 79730702.

Almost surely, 2103330150632 is an apocalyptic number.

103330150632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103330150632 is an abundant number, since it is smaller than the sum of its proper divisors (186089949018).

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

103330150632 is a wasteful number, since it uses less digits than its factorization.

103330150632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159460127 (or 159460114 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 103330150632 its reverse (236051033301), we get a palindrome (339381183933).

The spelling of 103330150632 in words is "one hundred three billion, three hundred thirty million, one hundred fifty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 159460109 318920218 478380327 637840436 956760654 1275680872 1435140981 1913521308 2870281962 3827042616 4305422943 5740563924 8610845886 11481127848 12916268829 17221691772 25832537658 34443383544 51665075316 103330150632