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1055100000 = 253553517
BaseRepresentation
bin111110111000111…
…000110001100000
32201112100122002210
4332320320301200
54130101200000
6252410242120
735101126203
oct7670706140
92645318083
101055100000
114a1638279
12255426340
1313a78ca36
14a01b193a
1562967350
hex3ee38c60

1055100000 has 144 divisors (see below), whose sum is σ = 3462809616. Its totient is φ = 281280000.

The previous prime is 1055099993. The next prime is 1055100017. The reversal of 1055100000 is 15501.

1055100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10551000002 = 2226472020000000000, which contains 22 as substring.

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

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, 298242 + ... + 301758.

It is an arithmetic number, because the mean of its divisors is an integer number (24047289).

Almost surely, 21055100000 is an apocalyptic number.

1055100000 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 1055100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731404808).

1055100000 is an abundant number, since it is smaller than the sum of its proper divisors (2407709616).

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

1055100000 is an frugal number, since it uses more digits than its factorization.

1055100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 1055100000 is about 32482.3028740267. The cubic root of 1055100000 is about 1018.0392937873.

Adding to 1055100000 its reverse (15501), we get a palindrome (1055115501).

The spelling of 1055100000 in words is "one billion, fifty-five million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3517 3750 4000 5000 6000 6250 7034 7500 9375 10000 10551 12000 12500 14068 15000 17585 18750 20000 21102 25000 28136 30000 35170 37500 42204 50000 52755 56272 60000 70340 75000 84408 87925 100000 105510 112544 140680 150000 168816 175850 211020 263775 281360 300000 337632 351700 422040 439625 527550 562720 703400 844080 879250 1055100 1318875 1406800 1688160 1758500 2110200 2198125 2637750 2813600 3517000 4220400 4396250 5275500 6594375 7034000 8440800 8792500 10551000 10990625 13188750 14068000 17585000 21102000 21981250 26377500 32971875 35170000 42204000 43962500 52755000 65943750 70340000 87925000 105510000 131887500 175850000 211020000 263775000 351700000 527550000 1055100000