Search a number
-
+
2114121112000 = 2653299112591
BaseRepresentation
bin11110110000111011011…
…100000001100111000000
321111002220201212000012221
4132300323130001213000
5234114210001041000
64255114104300424
7305511614644222
oct36607334014700
97432821760187
102114121112000
11745659286387
122a1892a71714
1312448c7a8a91
1474477112412
1539ed6cc061a
hex1ec3b7019c0

2114121112000 has 112 divisors (see below), whose sum is σ = 5416160181120. Its totient is φ = 816488064000.

The previous prime is 2114121111997. The next prime is 2114121112063. The reversal of 2114121112000 is 2111214112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4324296 + ... + 4788295.

Almost surely, 22114121112000 is an apocalyptic number.

2114121112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114121112000 is an abundant number, since it is smaller than the sum of its proper divisors (3302039069120).

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

2114121112000 is an equidigital number, since it uses as much as digits as its factorization.

2114121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9112647 (or 9112627 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2114121112000 its reverse (2111214112), we get a palindrome (2116232326112).

The spelling of 2114121112000 in words is "two trillion, one hundred fourteen billion, one hundred twenty-one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 725 800 928 1000 1160 1450 1600 1856 2000 2320 2900 3625 4000 4640 5800 7250 8000 9280 11600 14500 23200 29000 46400 58000 116000 232000 9112591 18225182 36450364 45562955 72900728 91125910 145801456 182251820 227814775 264265139 291602912 364503640 455629550 528530278 583205824 729007280 911259100 1057060556 1139073875 1321325695 1458014560 1822518200 2114121112 2278147750 2642651390 2916029120 3645036400 4228242224 4556295500 5285302780 6606628475 7290072800 8456484448 9112591000 10570605560 13213256950 14580145600 16912968896 18225182000 21141211120 26426513900 33033142375 36450364000 42282422240 52853027800 66066284750 72900728000 84564844480 105706055600 132132569500 211412111200 264265139000 422824222400 528530278000 1057060556000 2114121112000