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2112002020000 = 2554244143261
BaseRepresentation
bin11110101110111101001…
…000010101001010100000
321110220110001101222111001
4132232331020111022200
5234100340004120000
64254123525001344
7305405243652355
oct36567510251240
97426401358431
102112002020000
11744771098184
122a13a1253254
13124212764ba2
14743158d662c
1539e10c3646a
hex1ebbd2152a0

2112002020000 has 120 divisors (see below), whose sum is σ = 5198090494212. Its totient is φ = 844435200000.

The previous prime is 2112002019991. The next prime is 2112002020057. The reversal of 2112002020000 is 202002112.

It can be written as a sum of positive squares in 10 ways, for example, as 475884744336 + 1636117275664 = 689844^2 + 1279108^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48798370 + ... + 48841630.

Almost surely, 22112002020000 is an apocalyptic number.

2112002020000 is a gapful number since it is divisible by the number (20) 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 2112002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599045247106).

2112002020000 is an abundant number, since it is smaller than the sum of its proper divisors (3086088474212).

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

2112002020000 is an equidigital number, since it uses as much as digits as its factorization.

2112002020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45732 (or 45709 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2112002020000 its reverse (202002112), we get a palindrome (2112204022112).

It can be divided in two parts, 21 and 12002020000, that added together give a palindrome (12002020021).

The spelling of 2112002020000 in words is "two trillion, one hundred twelve billion, two 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 2000 2441 2500 4000 4882 5000 9764 10000 12205 19528 20000 24410 39056 43261 48820 61025 78112 86522 97640 122050 173044 195280 216305 244100 305125 346088 390560 432610 488200 610250 692176 865220 976400 1081525 1220500 1384352 1525625 1730440 1952800 2163050 2441000 3051250 3460880 4326100 4882000 5407625 6102500 6921760 8652200 9764000 10815250 12205000 17304400 21630500 24410000 27038125 34608800 43261000 48820000 54076250 86522000 105600101 108152500 173044000 211200202 216305000 422400404 432610000 528000505 844800808 865220000 1056001010 1689601616 2112002020 2640002525 3379203232 4224004040 5280005050 8448008080 10560010100 13200012625 16896016160 21120020200 26400025250 42240040400 52800050500 66000063125 84480080800 105600101000 132000126250 211200202000 264000252500 422400404000 528000505000 1056001010000 2112002020000