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211120002120 = 233511231566637
BaseRepresentation
bin1100010010011110111…
…0111001010001001000
3202011221022112022200210
43010213232321101020
511424333210031440
6240553122201120
721152515260156
oct3044756712110
9664838468623
10211120002120
11815988123a5
1234abb7b31a0
1316ba70716a1
14a30acac3d6
155759819a80
hex3127bb9448

211120002120 has 64 divisors (see below), whose sum is σ = 633924400320. Its totient is φ = 56248498944.

The previous prime is 211120002047. The next prime is 211120002143. The reversal of 211120002120 is 21200021112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211120002096 and 211120002105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648559 + ... + 918078.

It is an arithmetic number, because the mean of its divisors is an integer number (9905068755).

Almost surely, 2211120002120 is an apocalyptic number.

211120002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120002120 is an abundant number, since it is smaller than the sum of its proper divisors (422804398200).

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

211120002120 is a wasteful number, since it uses less digits than its factorization.

211120002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567774 (or 1567770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211120002120 its reverse (21200021112), we get a palindrome (232320023232).

The spelling of 211120002120 in words is "two hundred eleven billion, one hundred twenty million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1123 2246 3369 4492 5615 6738 8984 11230 13476 16845 22460 26952 33690 44920 67380 134760 1566637 3133274 4699911 6266548 7833185 9399822 12533096 15666370 18799644 23499555 31332740 37599288 46999110 62665480 93998220 187996440 1759333351 3518666702 5278000053 7037333404 8796666755 10556000106 14074666808 17593333510 21112000212 26390000265 35186667020 42224000424 52780000530 70373334040 105560001060 211120002120