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132101331300 = 22335248926419
BaseRepresentation
bin111101100000111011…
…0100101100101100100
3110121222100221221021000
41323001312211211210
54131020420100200
6140404141553300
712354410534451
oct1730166454544
9417870857230
10132101331300
1151029837474
1221728575830
13c5c333a633
1465725c0828
153682590300
hex1ec1da5964

132101331300 has 72 divisors (see below), whose sum is σ = 424681325600. Its totient is φ = 35227020960.

The previous prime is 132101331239. The next prime is 132101331311. The reversal of 132101331300 is 3133101231.

It is a happy number.

132101331300 is a `hidden beast` number, since 1 + 32 + 1 + 0 + 1 + 331 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 24460510 + ... + 24465909.

Almost surely, 2132101331300 is an apocalyptic number.

132101331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132101331300 is an abundant number, since it is smaller than the sum of its proper divisors (292579994300).

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

132101331300 is a wasteful number, since it uses less digits than its factorization.

132101331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48926442 (or 48926429 counting only the distinct ones).

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

Adding to 132101331300 its reverse (3133101231), we get a palindrome (135234432531).

The spelling of 132101331300 in words is "one hundred thirty-two billion, one hundred one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 48926419 97852838 146779257 195705676 244632095 293558514 440337771 489264190 587117028 733896285 880675542 978528380 1223160475 1321013313 1467792570 1761351084 2201688855 2446320950 2642026626 2935585140 3669481425 4403377710 4892641900 5284053252 6605066565 7338962850 8806755420 11008444275 13210133130 14677925700 22016888550 26420266260 33025332825 44033777100 66050665650 132101331300