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20132210123000 = 235331649426133
BaseRepresentation
bin1001001001111011001010…
…01110111010000011111000
32122021121202100010122001222
410210331211032322003320
510114321231242414000
6110452335403531212
74145334635356343
oct444754516720370
978247670118058
1020132210123000
1164620278502a8
122311910529b08
13b305c8022751
144d859307b45a
1524da41c65a85
hex124f653ba0f8

20132210123000 has 64 divisors (see below), whose sum is σ = 48629028913920. Its totient is φ = 7793113584000.

The previous prime is 20132210122991. The next prime is 20132210123009. The reversal of 20132210123000 is 32101223102.

It is an interprime number because it is at equal distance from previous prime (20132210122991) and next prime (20132210123009).

It is a self number, because there is not a number n which added to its sum of digits gives 20132210123000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132210123009) by changing a digit.

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, 324682067 + ... + 324744066.

It is an arithmetic number, because the mean of its divisors is an integer number (759828576780).

Almost surely, 220132210123000 is an apocalyptic number.

20132210123000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132210123000 is an abundant number, since it is smaller than the sum of its proper divisors (28496818790920).

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

20132210123000 is a wasteful number, since it uses less digits than its factorization.

20132210123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649426185 (or 649426171 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20132210123000 its reverse (32101223102), we get a palindrome (20164311346102).

The spelling of 20132210123000 in words is "twenty trillion, one hundred thirty-two billion, two hundred ten million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 31000 649426133 1298852266 2597704532 3247130665 5195409064 6494261330 12988522660 16235653325 20132210123 25977045320 32471306650 40264420246 64942613300 80528840492 81178266625 100661050615 129885226600 161057680984 162356533250 201322101230 324713066500 402644202460 503305253075 649426133000 805288404920 1006610506150 2013221012300 2516526265375 4026442024600 5033052530750 10066105061500 20132210123000