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1055001100 = 225261971783
BaseRepresentation
bin111110111000100…
…000101000001100
32201112011121102211
4332320200220030
54130040013400
6252404200204
735100234646
oct7670405014
92645147384
101055001100
114a157aa3a
12255399064
1313a756a0a
14a0187896
1562947dba
hex3ee20a0c

1055001100 has 72 divisors (see below), whose sum is σ = 2352189728. Its totient is φ = 410572800.

The previous prime is 1055001089. The next prime is 1055001133. The reversal of 1055001100 is 11005501.

It is a super-2 number, since 2×10550011002 = 2226054642002420000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590809 + ... + 592591.

Almost surely, 21055001100 is an apocalyptic number.

1055001100 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 1055001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176094864).

1055001100 is an abundant number, since it is smaller than the sum of its proper divisors (1297188628).

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

1055001100 is a wasteful number, since it uses less digits than its factorization.

1055001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 1055001100 is about 32480.7804709185. The cubic root of 1055001100 is about 1018.0074840909.

Adding to 1055001100 its reverse (11005501), we get a palindrome (1066006601).

The spelling of 1055001100 in words is "one billion, fifty-five million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 97 100 122 194 244 305 388 485 610 970 1220 1525 1783 1940 2425 3050 3566 4850 5917 6100 7132 8915 9700 11834 17830 23668 29585 35660 44575 59170 89150 108763 118340 147925 172951 178300 217526 295850 345902 435052 543815 591700 691804 864755 1087630 1729510 2175260 2719075 3459020 4323775 5438150 8647550 10550011 10876300 17295100 21100022 42200044 52750055 105500110 211000220 263750275 527500550 1055001100