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132301117730 = 25172341825283
BaseRepresentation
bin111101100110111000…
…0101101100100100010
3110122111021220010201102
41323031300231210202
54131423041231410
6140440040034402
712362354642255
oct1731560554442
9418437803642
10132301117730
1151121593a21
1221783462a02
13c62584b662
146590d4909c
153694da62a5
hex1ecdc2d922

132301117730 has 64 divisors (see below), whose sum is σ = 269531152128. Its totient is φ = 46479882240.

The previous prime is 132301117717. The next prime is 132301117777. The reversal of 132301117730 is 37711103231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132301117693 and 132301117702.

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, 252332 + ... + 572951.

It is an arithmetic number, because the mean of its divisors is an integer number (4211424252).

Almost surely, 2132301117730 is an apocalyptic number.

132301117730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132301117730 is an abundant number, since it is smaller than the sum of its proper divisors (137230034398).

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

132301117730 is a wasteful number, since it uses less digits than its factorization.

132301117730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825371.

The product of its (nonzero) digits is 2646, while the sum is 29.

The spelling of 132301117730 in words is "one hundred thirty-two billion, three hundred one million, one hundred seventeen thousand, seven hundred thirty".

Divisors: 1 2 5 10 17 23 34 41 46 82 85 115 170 205 230 391 410 697 782 943 1394 1886 1955 3485 3910 4715 6970 9430 16031 32062 80155 160310 825283 1650566 4126415 8252830 14029811 18981509 28059622 33836603 37963018 67673206 70149055 94907545 140298110 169183015 189815090 322685653 338366030 575222251 645371306 778241869 1150444502 1556483738 1613428265 2876111255 3226856530 3891209345 5752222510 7782418690 13230111773 26460223546 66150558865 132301117730