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2141211114 = 232732911959
BaseRepresentation
bin111111110100000…
…0100100111101010
312112020001210110100
41333220010213222
513341122223424
6552245330230
7104026665000
oct17750044752
95466053410
102141211114
119a9726669
124b9106976
132817b9a33
14164536a70
15c7ea7dc9
hex7fa049ea

2141211114 has 96 divisors (see below), whose sum is σ = 5597280000. Its totient is φ = 590629536.

The previous prime is 2141211109. The next prime is 2141211131. The reversal of 2141211114 is 4111121412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173067 + ... + 185025.

It is an arithmetic number, because the mean of its divisors is an integer number (58305000).

Almost surely, 22141211114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141211114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798640000).

2141211114 is an abundant number, since it is smaller than the sum of its proper divisors (3456068886).

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

2141211114 is a wasteful number, since it uses less digits than its factorization.

2141211114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12017 (or 12000 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 2141211114 is about 46273.2224293921. Note that the first 3 decimals coincide. The cubic root of 2141211114 is about 1288.9017983541.

Adding to 2141211114 its reverse (4111121412), we get a palindrome (6252332526).

The spelling of 2141211114 in words is "two billion, one hundred forty-one million, two hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 343 406 441 522 609 686 882 1029 1218 1421 1827 2058 2842 3087 3654 4263 6174 8526 9947 11959 12789 19894 23918 25578 29841 35877 59682 71754 83713 89523 107631 167426 179046 215262 251139 346811 502278 585991 693622 753417 1040433 1171982 1506834 1757973 2080866 2427677 3121299 3515946 4101937 4855354 5273919 6242598 7283031 8203874 10547838 12305811 14566062 16993739 21849093 24611622 33987478 36917433 43698186 50981217 73834866 101962434 118956173 152943651 237912346 305887302 356868519 713737038 1070605557 2141211114