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1020221103000 = 233531130915791
BaseRepresentation
bin11101101100010011110…
…10101001101110011000
310121112100221222220000210
432312021322221232120
5113203403100244000
62100403314531120
7133465013202051
oct16661172515630
93545327886023
101020221103000
11363745240970
12145885b96aa0
137528b708c48
1437543c45728
151b811b09350
hexed89ea9b98

1020221103000 has 128 divisors (see below), whose sum is σ = 3472461757440. Its totient is φ = 247326320000.

The previous prime is 1020221102963. The next prime is 1020221103001. The reversal of 1020221103000 is 3011220201.

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 (1020221103001) 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, 15424896 + ... + 15490895.

It is an arithmetic number, because the mean of its divisors is an integer number (27128607480).

Almost surely, 21020221103000 is an apocalyptic number.

1020221103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020221103000 is an abundant number, since it is smaller than the sum of its proper divisors (2452240654440).

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

1020221103000 is a wasteful number, since it uses less digits than its factorization.

1020221103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30915826 (or 30915812 counting only the distinct ones).

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

Adding to 1020221103000 its reverse (3011220201), we get a palindrome (1023232323201).

The spelling of 1020221103000 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred 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 30915791 61831582 92747373 123663164 154578955 185494746 247326328 309157910 340073701 370989492 463736865 618315820 680147402 741978984 772894775 927473730 1020221103 1236631640 1360294804 1545789550 1700368505 1854947460 2040442206 2318684325 2720589608 3091579100 3400737010 3709894920 3864473875 4080884412 4637368650 5101105515 6183158200 6801474020 7728947750 8161768824 8501842525 9274737300 10202211030 11593421625 13602948040 15457895500 17003685050 18549474600 20404422060 23186843250 25505527575 30915791000 34007370100 40808844120 42509212625 46373686500 51011055150 68014740200 85018425250 92747373000 102022110300 127527637875 170036850500 204044220600 255055275750 340073701000 510110551500 1020221103000