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1101212020000 = 2554132141681
BaseRepresentation
bin10000000001100101010…
…110011110110100100000
310220021102100200202121101
4100001211112132310200
5121020240234120000
62201520111204144
7142363026504361
oct20014526366440
93807370622541
101101212020000
11395026527614
12159509816654
137cac7c1a881
143b428445b68
151d9a20b2e6a
hex1006559ed20

1101212020000 has 120 divisors (see below), whose sum is σ = 2711262627612. Its totient is φ = 440140800000.

The previous prime is 1101212019977. The next prime is 1101212020001. The reversal of 1101212020000 is 202121011.

It can be written as a sum of positive squares in 10 ways, for example, as 28438100496 + 1072773919504 = 168636^2 + 1035748^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1101212020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26399160 + ... + 26440840.

Almost surely, 21101212020000 is an apocalyptic number.

1101212020000 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 1101212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355631313806).

1101212020000 is an abundant number, since it is smaller than the sum of its proper divisors (1610050607612).

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

1101212020000 is an equidigital number, since it uses as much as digits as its factorization.

1101212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43032 (or 43009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1101212020000 its reverse (202121011), we get a palindrome (1101414141011).

The spelling of 1101212020000 in words is "one trillion, one hundred one billion, two hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1321 2000 2500 2642 4000 5000 5284 6605 10000 10568 13210 20000 21136 26420 33025 41681 42272 52840 66050 83362 105680 132100 165125 166724 208405 211360 264200 330250 333448 416810 528400 660500 666896 825625 833620 1042025 1056800 1321000 1333792 1651250 1667240 2084050 2642000 3302500 3334480 4168100 5210125 5284000 6605000 6668960 8336200 10420250 13210000 16672400 20840500 26050625 26420000 33344800 41681000 52101250 55060601 83362000 104202500 110121202 166724000 208405000 220242404 275303005 416810000 440484808 550606010 833620000 880969616 1101212020 1376515025 1761939232 2202424040 2753030050 4404848080 5506060100 6882575125 8809696160 11012120200 13765150250 22024240400 27530300500 34412875625 44048480800 55060601000 68825751250 110121202000 137651502500 220242404000 275303005000 550606010000 1101212020000