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1055340100000 = 255526340127
BaseRepresentation
bin11110101101101110010…
…10111111100110100000
310201220000110120210011101
433112313022333212200
5114242314031200000
62124452212524144
7136150211561314
oct17266712774640
93656013523141
101055340100000
11377626a7912a
12150647320654
1378697495144
1439116089b44
151c6b9d42e6a
hexf5b72bf9a0

1055340100000 has 144 divisors (see below), whose sum is σ = 2606899147776. Its totient is φ = 420520480000.

The previous prime is 1055340099977. The next prime is 1055340100063. The reversal of 1055340100000 is 10435501.

It is a super-2 number, since 2×10553401000002 (a number of 25 digits) contains 22 as substring.

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, 26279937 + ... + 26320063.

It is an arithmetic number, because the mean of its divisors is an integer number (18103466304).

Almost surely, 21055340100000 is an apocalyptic number.

1055340100000 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 1055340100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303449573888).

1055340100000 is an abundant number, since it is smaller than the sum of its proper divisors (1551559047776).

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

1055340100000 is an frugal number, since it uses more digits than its factorization.

1055340100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40425 (or 40397 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 1055340100000 its reverse (10435501), we get a palindrome (1055350535501).

The spelling of 1055340100000 in words is "one trillion, fifty-five billion, three hundred forty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 263 400 500 526 625 800 1000 1052 1250 1315 2000 2104 2500 2630 3125 4000 4208 5000 5260 6250 6575 8416 10000 10520 12500 13150 20000 21040 25000 26300 32875 40127 42080 50000 52600 65750 80254 100000 105200 131500 160508 164375 200635 210400 263000 321016 328750 401270 526000 642032 657500 802540 821875 1003175 1052000 1284064 1315000 1605080 1643750 2006350 2630000 3210160 3287500 4012700 5015875 5260000 6420320 6575000 8025400 10031750 10553401 13150000 16050800 20063500 21106802 25079375 26300000 32101600 40127000 42213604 50158750 52767005 80254000 84427208 100317500 105534010 125396875 160508000 168854416 200635000 211068020 250793750 263835025 337708832 401270000 422136040 501587500 527670050 802540000 844272080 1003175000 1055340100 1319175125 1688544160 2006350000 2110680200 2638350250 4012700000 4221360400 5276700500 6595875625 8442720800 10553401000 13191751250 21106802000 26383502500 32979378125 42213604000 52767005000 65958756250 105534010000 131917512500 211068020000 263835025000 527670050000 1055340100000