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1022110200100 = 2252111261173681
BaseRepresentation
bin11101101111110101000…
…00111111000100100100
310121201020121122222002001
432313322200333010210
5113221240202400400
62101315000455044
7133562562231553
oct16677240770444
93551217588061
101022110200100
1136452461a540
1214611277a484
13754ccbc2c92
1437682ab1d9a
151b8c28b1a6a
hexedfa83f124

1022110200100 has 72 divisors (see below), whose sum is σ = 2419838307936. Its totient is φ = 371641920000.

The previous prime is 1022110200061. The next prime is 1022110200101. The reversal of 1022110200100 is 10020112201.

It is a super-3 number, since 3×10221102001003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1022110200101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13835260 + ... + 13908940.

It is an arithmetic number, because the mean of its divisors is an integer number (33608865388).

Almost surely, 21022110200100 is an apocalyptic number.

1022110200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022110200100 is an abundant number, since it is smaller than the sum of its proper divisors (1397728107836).

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

1022110200100 is a wasteful number, since it uses less digits than its factorization.

1022110200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86317 (or 86310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022110200100 its reverse (10020112201), we get a palindrome (1032130312301).

The spelling of 1022110200100 in words is "one trillion, twenty-two billion, one hundred ten million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 12611 25222 50444 63055 73681 126110 138721 147362 252220 277442 294724 315275 368405 554884 630550 693605 736810 810491 1261100 1387210 1473620 1620982 1842025 2774420 3241964 3468025 3684050 4052455 6936050 7368100 8104910 13872100 16209820 20262275 40524550 81049100 929191091 1858382182 3716764364 4645955455 9291910910 10221102001 18583821820 20442204002 23229777275 40884408004 46459554550 51105510005 92919109100 102211020010 204422040020 255527550025 511055100050 1022110200100