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132021202000 = 2453611082141
BaseRepresentation
bin111101011110100010…
…0111010110001010000
3110121202210011221112011
41322331010322301100
54130334411431000
6140352200312304
712352415462362
oct1727504726120
9417683157464
10132021202000
1150a98588106
1221705772694
13c5ac86344c
146565ac2d32
15367a5132ba
hex1ebd13ac50

132021202000 has 80 divisors (see below), whose sum is σ = 324460800144. Its totient is φ = 51942720000.

The previous prime is 132021201889. The next prime is 132021202009. The reversal of 132021202000 is 202120231.

It can be written as a sum of positive squares in 8 ways, for example, as 121600058944 + 10421143056 = 348712^2 + 102084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132021202009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 419071 + ... + 663070.

Almost surely, 2132021202000 is an apocalyptic number.

132021202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132021202000 is an abundant number, since it is smaller than the sum of its proper divisors (192439598144).

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

132021202000 is a wasteful number, since it uses less digits than its factorization.

132021202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082225 (or 1082209 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 132021202000 its reverse (202120231), we get a palindrome (132223322231).

The spelling of 132021202000 in words is "one hundred thirty-two billion, twenty-one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 12200 15250 24400 30500 61000 122000 1082141 2164282 4328564 5410705 8657128 10821410 17314256 21642820 27053525 43285640 54107050 66010601 86571280 108214100 132021202 135267625 216428200 264042404 270535250 330053005 432856400 528084808 541070500 660106010 1056169616 1082141000 1320212020 1650265025 2164282000 2640424040 3300530050 5280848080 6601060100 8251325125 13202120200 16502650250 26404240400 33005300500 66010601000 132021202000