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2141111104 = 261117178903
BaseRepresentation
bin111111110011110…
…1100001101000000
312112012212201021021
41333213230031000
513341111023404
6552243235224
7104026100266
oct17747541500
95465781237
102141111104
119a9668510
124b9078b14
13281783362
1416450c436
15c7e88454
hex7f9ec340

2141111104 has 56 divisors (see below), whose sum is σ = 4907694528. Its totient is φ = 915978240.

The previous prime is 2141111099. The next prime is 2141111107. The reversal of 2141111104 is 4011111412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141111107) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77484 + ... + 101419.

Almost surely, 22141111104 is an apocalyptic number.

It is an amenable number.

2141111104 is an abundant number, since it is smaller than the sum of its proper divisors (2766583424).

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

2141111104 is a wasteful number, since it uses less digits than its factorization.

2141111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178943 (or 178933 counting only the distinct ones).

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

The square root of 2141111104 is about 46272.1417701839. The cubic root of 2141111104 is about 1288.8817310388.

Adding to 2141111104 its reverse (4011111412), we get a palindrome (6152222516).

The spelling of 2141111104 in words is "two billion, one hundred forty-one million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 178903 357806 715612 1431224 1967933 2862448 3041351 3935866 5724896 6082702 7871732 11449792 12165404 15743464 24330808 31486928 33454861 48661616 62973856 66909722 97323232 125947712 133819444 194646464 267638888 535277776 1070555552 2141111104