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114231104 = 2613251547
BaseRepresentation
bin1101100111100…
…00011101000000
321221221112121122
412303300131000
5213220343404
615200211412
72554643201
oct663603500
9257845548
10114231104
1159531579
1232309b68
131a887190
14112575a8
15a0663be
hex6cf0740

114231104 has 56 divisors (see below), whose sum is σ = 245534688. Its totient is φ = 52416000.

The previous prime is 114231053. The next prime is 114231113. The reversal of 114231104 is 401132411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208559 + ... + 209105.

It is an arithmetic number, because the mean of its divisors is an integer number (4384548).

Almost surely, 2114231104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122767344).

114231104 is an abundant number, since it is smaller than the sum of its proper divisors (131303584).

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

114231104 is a wasteful number, since it uses less digits than its factorization.

114231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 114231104 is about 10687.8952090671. The cubic root of 114231104 is about 485.2081920510.

Adding to 114231104 its reverse (401132411), we get a palindrome (515363515).

The spelling of 114231104 in words is "one hundred fourteen million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 251 416 502 547 832 1004 1094 2008 2188 3263 4016 4376 6526 7111 8032 8752 13052 14222 16064 17504 26104 28444 35008 52208 56888 104416 113776 137297 208832 227552 274594 455104 549188 1098376 1784861 2196752 3569722 4393504 7139444 8787008 14278888 28557776 57115552 114231104