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32312102002000 = 2453101159960901
BaseRepresentation
bin1110101100011001111110…
…10111001001110101010000
311020102000011221112000222121
413112030333113021311100
513213400141103031000
6152415550313144024
76543321003214402
oct726147727116520
9136360157460877
1032312102002000
11a328538229387
12375a3756bb014
131505030b2b842
147d9cb234cb72
153b07a2b33b1a
hex1d633f5c9d50

32312102002000 has 80 divisors (see below), whose sum is σ = 78904234051344. Its totient is φ = 12796872000000.

The previous prime is 32312102001983. The next prime is 32312102002009. The reversal of 32312102002000 is 20020121323.

It can be written as a sum of positive squares in 8 ways, for example, as 6296144860944 + 26015957141056 = 2509212^2 + 5100584^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32312102002009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79778451 + ... + 80182450.

Almost surely, 232312102002000 is an apocalyptic number.

It is an amenable number.

32312102002000 is an abundant number, since it is smaller than the sum of its proper divisors (46592132049344).

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

32312102002000 is a wasteful number, since it uses less digits than its factorization.

32312102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159961025 (or 159961009 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 32312102002000 its reverse (20020121323), we get a palindrome (32332122123323).

The spelling of 32312102002000 in words is "thirty-two trillion, three hundred twelve billion, one hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 8080 10100 12625 20200 25250 40400 50500 101000 202000 159960901 319921802 639843604 799804505 1279687208 1599609010 2559374416 3199218020 3999022525 6398436040 7998045050 12796872080 15996090100 16156051001 19995112625 31992180200 32312102002 39990225250 63984360400 64624204004 79980450500 80780255005 129248408008 159960901000 161560510010 258496816016 319921802000 323121020020 403901275025 646242040040 807802550050 1292484080080 1615605100100 2019506375125 3231210200200 4039012750250 6462420400400 8078025500500 16156051001000 32312102002000