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10221100000 = 2555432377
BaseRepresentation
bin10011000010011100…
…11001101111100000
3222101022210200022021
421201032121233200
5131413100200000
64410121351224
7511200626236
oct114116315740
928338720267
1010221100000
1143755a9791
121b93038514
13c6b751787
146cd678956
153ec4d411a
hex261399be0

10221100000 has 144 divisors (see below), whose sum is σ = 25747633296. Its totient is φ = 3991680000.

The previous prime is 10221099991. The next prime is 10221100013. The reversal of 10221100000 is 112201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4298812 + ... + 4301188.

It is an arithmetic number, because the mean of its divisors is an integer number (178803009).

Almost surely, 210221100000 is an apocalyptic number.

10221100000 is a gapful number since it is divisible by the number (10) 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 10221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12873816648).

10221100000 is an abundant number, since it is smaller than the sum of its proper divisors (15526533296).

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

10221100000 is an frugal number, since it uses more digits than its factorization.

10221100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10221100000 its reverse (112201), we get a palindrome (10221212201).

The spelling of 10221100000 in words is "ten billion, two hundred twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2377 2500 3125 3440 4000 4300 4754 5000 5375 6250 6880 8600 9508 10000 10750 11885 12500 17200 19016 20000 21500 23770 25000 26875 34400 38032 43000 47540 50000 53750 59425 76064 86000 95080 100000 102211 107500 118850 134375 172000 190160 204422 215000 237700 268750 297125 380320 408844 430000 475400 511055 537500 594250 817688 860000 950800 1022110 1075000 1188500 1485625 1635376 1901600 2044220 2150000 2377000 2555275 2971250 3270752 4088440 4300000 4754000 5110550 5942500 7428125 8176880 9508000 10221100 11885000 12776375 14856250 16353760 20442200 23770000 25552750 29712500 40884400 47540000 51105500 59425000 63881875 81768800 102211000 118850000 127763750 204422000 237700000 255527500 319409375 408844000 511055000 638818750 1022110000 1277637500 2044220000 2555275000 5110550000 10221100000