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2141212554 = 23213231313037
BaseRepresentation
bin111111110100000…
…0100111110001010
312112020001212102200
41333220010332022
513341122300204
6552245341030
7104030002125
oct17750047612
95466055380
102141212554
119a9727758
124b9107776
132817ba5a0
141645373bc
15c7ea8539
hex7fa04f8a

2141212554 has 96 divisors (see below), whose sum is σ = 5254913664. Its totient is φ = 625173120.

The previous prime is 2141212553. The next prime is 2141212559. The reversal of 2141212554 is 4552121412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2141212553) 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 47 ways as a sum of consecutive naturals, for example, 703524 + ... + 706560.

It is an arithmetic number, because the mean of its divisors is an integer number (54738684).

Almost surely, 22141212554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141212554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627456832).

2141212554 is an abundant number, since it is smaller than the sum of its proper divisors (3113701110).

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

2141212554 is a wasteful number, since it uses less digits than its factorization.

2141212554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3209 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 2141212554 is about 46273.2379891444. The cubic root of 2141212554 is about 1288.9020872900.

Adding to 2141212554 its reverse (4552121412), we get a palindrome (6693333966).

The spelling of 2141212554 in words is "two billion, one hundred forty-one million, two hundred twelve thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 131 138 207 234 262 299 393 414 598 786 897 1179 1703 1794 2358 2691 3013 3037 3406 5109 5382 6026 6074 9039 9111 10218 15327 18078 18222 27117 27333 30654 39169 39481 54234 54666 69851 78338 78962 117507 118443 139702 209553 235014 236886 352521 355329 397847 419106 628659 705042 710658 795694 908063 1193541 1257318 1816126 2387082 2724189 3580623 5172011 5448378 7161246 8172567 9150481 10344022 15516033 16345134 18300962 27451443 31032066 46548099 54902886 82354329 93096198 118956253 164708658 237912506 356868759 713737518 1070606277 2141212554