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1022100123000 = 233531130972731
BaseRepresentation
bin11101101111110011110…
…10100010110101111000
310121201012220200222220010
432313321322202311320
5113221230112414000
62101314000501520
7133562410461345
oct16677172426570
93551186628803
101022100123000
11364519967460
1214610b31a8a0
13754caaa52b8
143768160b7cc
151b8c1a70d50
hexedf9ea2d78

1022100123000 has 128 divisors (see below), whose sum is σ = 3478857258240. Its totient is φ = 247781840000.

The previous prime is 1022100122957. The next prime is 1022100123001. The reversal of 1022100123000 is 3210012201.

It is a super-2 number, since 2×10221001230002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022100123001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15453366 + ... + 15519365.

It is an arithmetic number, because the mean of its divisors is an integer number (27178572330).

Almost surely, 21022100123000 is an apocalyptic number.

1022100123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022100123000 is an abundant number, since it is smaller than the sum of its proper divisors (2456757135240).

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

1022100123000 is a wasteful number, since it uses less digits than its factorization.

1022100123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30972766 (or 30972752 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1022100123000 its reverse (3210012201), we get a palindrome (1025310135201).

The spelling of 1022100123000 in words is "one trillion, twenty-two billion, one hundred million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 30972731 61945462 92918193 123890924 154863655 185836386 247781848 309727310 340700041 371672772 464590965 619454620 681400082 743345544 774318275 929181930 1022100123 1238909240 1362800164 1548636550 1703500205 1858363860 2044200246 2322954825 2725600328 3097273100 3407000410 3716727720 3871591375 4088400492 4645909650 5110500615 6194546200 6814000820 7743182750 8176800984 8517501025 9291819300 10221001230 11614774125 13628001640 15486365500 17035002050 18583638600 20442002460 23229548250 25552503075 30972731000 34070004100 40884004920 42587505125 46459096500 51105006150 68140008200 85175010250 92918193000 102210012300 127762515375 170350020500 204420024600 255525030750 340700041000 511050061500 1022100123000