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1020030221100 = 22352112910658623
BaseRepresentation
bin11101101011111101000…
…10011111101100101100
310121111212122211002021210
432311332202133230230
5113203010214033400
62100332335354420
7133460204552052
oct16657642375454
93544778732253
101020030221100
11363657516530
12145832082a10
137525acc4c87
14375267581d2
151b7eeea1950
hexed7e89fb2c

1020030221100 has 144 divisors (see below), whose sum is σ = 3330606827520. Its totient is φ = 238753132800.

The previous prime is 1020030221051. The next prime is 1020030221101. The reversal of 1020030221100 is 11220300201.

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

It is not an unprimeable number, because it can be changed into a prime (1020030221101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5233612 + ... + 5425011.

It is an arithmetic number, because the mean of its divisors is an integer number (23129214080).

Almost surely, 21020030221100 is an apocalyptic number.

1020030221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020030221100 is an abundant number, since it is smaller than the sum of its proper divisors (2310576606420).

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

1020030221100 is a wasteful number, since it uses less digits than its factorization.

1020030221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658680 (or 10658673 counting only the distinct ones).

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

Adding to 1020030221100 its reverse (11220300201), we get a palindrome (1031250521301).

The spelling of 1020030221100 in words is "one trillion, twenty billion, thirty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 31900 47850 95700 10658623 21317246 31975869 42634492 53293115 63951738 106586230 117244853 127903476 159879345 213172460 234489706 266465575 309100067 319758690 351734559 468979412 532931150 586224265 618200134 639517380 703469118 799396725 927300201 1065862300 1172448530 1236400268 1406938236 1545500335 1598793450 1758672795 1854600402 2344897060 2931121325 3091000670 3197586900 3400100737 3517345590 3709200804 4636501005 5862242650 6182001340 6800201474 7034691180 7727501675 8793363975 9273002010 10200302211 11724485300 13600402948 15455003350 17000503685 17586727950 18546004020 20400604422 23182505025 30910006700 34001007370 35173455900 40801208844 46365010050 51001511055 68002014740 85002518425 92730020100 102003022110 170005036850 204006044220 255007555275 340010073700 510015110550 1020030221100