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21002023123000 = 2353101947921937
BaseRepresentation
bin1001100011001111010100…
…01000001011100000111000
32202100202220002202020011021
410301213222020023200320
510223044120404414000
6112400110215112224
74265226466026463
oct461475210134070
982322802666137
1021002023123000
1167679a9593207
1224323bb072674
13b9463676167a
1452870925c2da
1526649e02b11a
hex1319ea20b838

21002023123000 has 128 divisors (see below), whose sum is σ = 49638814243200. Its totient is φ = 8316376320000.

The previous prime is 21002023122959. The next prime is 21002023123009. The reversal of 21002023123000 is 32132020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002023123009) 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 31 ways as a sum of consecutive naturals, for example, 957368032 + ... + 957389968.

It is an arithmetic number, because the mean of its divisors is an integer number (387803236275).

Almost surely, 221002023123000 is an apocalyptic number.

21002023123000 is a gapful number since it is divisible by the number (20) 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 21002023123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819407121600).

21002023123000 is an abundant number, since it is smaller than the sum of its proper divisors (28636791120200).

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

21002023123000 is a wasteful number, since it uses less digits than its factorization.

21002023123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31538 (or 31524 counting only the distinct ones).

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

Adding to 21002023123000 its reverse (32132020012), we get a palindrome (21034155143012).

The spelling of 21002023123000 in words is "twenty-one trillion, two billion, twenty-three million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 9479 10100 12625 18958 20200 21937 25250 37916 43874 47395 50500 75832 87748 94790 101000 109685 175496 189580 219370 236975 379160 438740 473950 548425 877480 947900 957379 1096850 1184875 1895800 1914758 2193700 2215637 2369750 2742125 3829516 4387400 4431274 4739500 4786895 5484250 7659032 8862548 9479000 9573790 10968500 11078185 17725096 19147580 21937000 22156370 23934475 38295160 44312740 47868950 55390925 88625480 95737900 110781850 119672375 191475800 207940823 221563700 239344750 276954625 415881646 443127400 478689500 553909250 831763292 957379000 1039704115 1107818500 1663526584 2079408230 2215637000 4158816460 5198520575 8317632920 10397041150 20794082300 21002023123 25992602875 41588164600 42004046246 51985205750 84008092492 103970411500 105010115615 168016184984 207940823000 210020231230 420040462460 525050578075 840080924920 1050101156150 2100202312300 2625252890375 4200404624600 5250505780750 10501011561500 21002023123000