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32033132130 = 23517317198139
BaseRepresentation
bin11101110101010100…
…101100111001100010
310001200102222201100010
4131311110230321202
51011100440212010
622414341105350
72212545062526
oct356524547142
9101612881303
1032033132130
111264896031a
12625b9b8256
13303666cc6c
14179c489d86
15c77383620
hex77552ce62

32033132130 has 64 divisors (see below), whose sum is σ = 81659041920. Its totient is φ = 8014285824.

The previous prime is 32033132081. The next prime is 32033132143. The reversal of 32033132130 is 3123133023.

It is a super-2 number, since 2×320331321302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32033132097 and 32033132106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 62601 + ... + 260739.

It is an arithmetic number, because the mean of its divisors is an integer number (1275922530).

Almost surely, 232033132130 is an apocalyptic number.

32033132130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32033132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40829520960).

32033132130 is an abundant number, since it is smaller than the sum of its proper divisors (49625909790).

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

32033132130 is a wasteful number, since it uses less digits than its factorization.

32033132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198483.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 32033132130 its reverse (3123133023), we get a palindrome (35156265153).

The spelling of 32033132130 in words is "thirty-two billion, thirty-three million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 317 510 634 951 1585 1902 3170 4755 5389 9510 10778 16167 26945 32334 53890 80835 161670 198139 396278 594417 990695 1188834 1981390 2972085 3368363 5944170 6736726 10105089 16841815 20210178 33683630 50525445 62810063 101050890 125620126 188430189 314050315 376860378 628100630 942150945 1067771071 1884301890 2135542142 3203313213 5338855355 6406626426 10677710710 16016566065 32033132130