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132023143100 = 225253211118057
BaseRepresentation
bin111101011110100110…
…0010100101010111100
3110121202220211120012202
41322331030110222330
54130340411034400
6140352310051032
712352441125512
oct1727514245274
9417686746182
10132023143100
1150a99693522
1221706349a78
13c5b0092b24
14656606a4b2
15367a7984d5
hex1ebd314abc

132023143100 has 72 divisors (see below), whose sum is σ = 293281572528. Its totient is φ = 51566860800.

The previous prime is 132023143093. The next prime is 132023143121. The reversal of 132023143100 is 1341320231.

It is a super-2 number, since 2×1320231431002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059272 + ... + 1177328.

It is an arithmetic number, because the mean of its divisors is an integer number (4073355174).

Almost surely, 2132023143100 is an apocalyptic number.

132023143100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132023143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146640786264).

132023143100 is an abundant number, since it is smaller than the sum of its proper divisors (161258429428).

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

132023143100 is a wasteful number, since it uses less digits than its factorization.

132023143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118335 (or 118328 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 132023143100 its reverse (1341320231), we get a palindrome (133364463331).

The spelling of 132023143100 in words is "one hundred thirty-two billion, twenty-three million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 211 212 265 422 530 844 1055 1060 1325 2110 2650 4220 5275 5300 10550 11183 21100 22366 44732 55915 111830 118057 223660 236114 279575 472228 559150 590285 1118300 1180570 2361140 2951425 5902850 6257021 11805700 12514042 24910027 25028084 31285105 49820054 62570210 99640108 124550135 125140420 156425525 249100270 312851050 498200540 622750675 625702100 1245501350 1320231431 2491002700 2640462862 5280925724 6601157155 13202314310 26404628620 33005785775 66011571550 132023143100