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132035353000 = 2353193684121
BaseRepresentation
bin111101011110111101…
…0111001100110101000
3110121210202210220001021
41322331322321212220
54130402022244000
6140353423502224
712352646661055
oct1727572714650
9417722726037
10132035353000
1150aa5572a51
122170a457974
13c5b2779515
14656792802c
15367b8ab11a
hex1ebdeb99a8

132035353000 has 64 divisors (see below), whose sum is σ = 310564023120. Its totient is φ = 52540416000.

The previous prime is 132035352979. The next prime is 132035353019. The reversal of 132035353000 is 353530231.

It is a happy number.

132035353000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12531011364 + 119504341636 = 111942^2 + 345694^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 149061 + ... + 535060.

Almost surely, 2132035353000 is an apocalyptic number.

132035353000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132035353000 is an abundant number, since it is smaller than the sum of its proper divisors (178528670120).

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

132035353000 is a wasteful number, since it uses less digits than its factorization.

132035353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684335 (or 684321 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 25.

Adding to 132035353000 its reverse (353530231), we get a palindrome (132388883231).

The spelling of 132035353000 in words is "one hundred thirty-two billion, thirty-five million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 193 200 250 386 500 772 965 1000 1544 1930 3860 4825 7720 9650 19300 24125 38600 48250 96500 193000 684121 1368242 2736484 3420605 5472968 6841210 13682420 17103025 27364840 34206050 68412100 85515125 132035353 136824200 171030250 264070706 342060500 528141412 660176765 684121000 1056282824 1320353530 2640707060 3300883825 5281414120 6601767650 13203535300 16504419125 26407070600 33008838250 66017676500 132035353000