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20550050100 = 22325243352733
BaseRepresentation
bin10011001000111000…
…001110000100110100
31222001011112201010200
4103020320032010310
5314041303100400
613235054520500
71325151354336
oct231070160464
958034481120
1020550050100
118795a70888
123b96206130
131c26634b78
14dcd389456
158041bdb00
hex4c8e0e134

20550050100 has 108 divisors (see below), whose sum is σ = 64562974476. Its totient is φ = 5467253760.

The previous prime is 20550050099. The next prime is 20550050117. The reversal of 20550050100 is 105005502.

It can be written as a sum of positive squares in 6 ways, for example, as 4912047396 + 15638002704 = 70086^2 + 125052^2 .

It is a super-2 number, since 2×205500501002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363334 + ... + 416066.

Almost surely, 220550050100 is an apocalyptic number.

20550050100 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 20550050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32281487238).

20550050100 is an abundant number, since it is smaller than the sum of its proper divisors (44012924376).

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

20550050100 is a wasteful number, since it uses less digits than its factorization.

20550050100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53186 (or 53176 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

Adding to 20550050100 its reverse (105005502), we get a palindrome (20655055602).

The spelling of 20550050100 in words is "twenty billion, five hundred fifty million, fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 433 450 866 900 1299 1732 2165 2598 3897 4330 5196 6495 7794 8660 10825 12990 15588 19485 21650 25980 32475 38970 43300 52733 64950 77940 97425 105466 129900 158199 194850 210932 263665 316398 389700 474597 527330 632796 790995 949194 1054660 1318325 1581990 1898388 2372985 2636650 3163980 3954975 4745970 5273300 7909950 9491940 11864925 15819900 22833389 23729850 45666778 47459700 68500167 91333556 114166945 137000334 205500501 228333890 274000668 342500835 411001002 456667780 570834725 685001670 822002004 1027502505 1141669450 1370003340 1712504175 2055005010 2283338900 3425008350 4110010020 5137512525 6850016700 10275025050 20550050100