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2141232104 = 2311236911531
BaseRepresentation
bin111111110100000…
…1001101111101000
312112020002212020202
41333220021233220
513341123411404
6552250011332
7104030113124
oct17750115750
95466085222
102141232104
119a9740410
124b9116b48
132817c645b
14164540584
15c7eae21e
hex7fa09be8

2141232104 has 64 divisors (see below), whose sum is σ = 4579822080. Its totient is φ = 929016000.

The previous prime is 2141232089. The next prime is 2141232109. The reversal of 2141232104 is 4012321412.

It is not an unprimeable number, because it can be changed into a prime (2141232109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1397819 + ... + 1399349.

It is an arithmetic number, because the mean of its divisors is an integer number (71559720).

Almost surely, 22141232104 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 2141232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289911040).

2141232104 is an abundant number, since it is smaller than the sum of its proper divisors (2438589976).

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

2141232104 is a wasteful number, since it uses less digits than its factorization.

2141232104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2141232104 is about 46273.4492338749. The cubic root of 2141232104 is about 1288.9060099831.

Adding to 2141232104 its reverse (4012321412), we get a palindrome (6153553516).

The spelling of 2141232104 in words is "two billion, one hundred forty-one million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 691 1012 1382 1531 2024 2764 3062 5528 6124 7601 12248 15202 15893 16841 30404 31786 33682 35213 60808 63572 67364 70426 127144 134728 140852 174823 281704 349646 387343 699292 774686 1057921 1398584 1549372 2115842 3098744 4231684 8463368 11637131 23274262 24332183 46548524 48664366 93097048 97328732 194657464 267654013 535308026 1070616052 2141232104