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2114133312204 = 2232712939281431
BaseRepresentation
bin11110110000111100001…
…010100100001011001100
321111002221120210211202100
4132300330022210023030
5234114221111442304
64255115221555100
7305512123436304
oct36607412441314
97432846724670
102114133312204
117456651595a1
122a1896b75a90
1312449218ac34
14744789aa604
1539ed7dd0439
hex1ec3c2a42cc

2114133312204 has 72 divisors (see below), whose sum is σ = 5421190844160. Its totient is φ = 694546725600.

The previous prime is 2114133312199. The next prime is 2114133312217. The reversal of 2114133312204 is 4022133314112.

2114133312204 is a `hidden beast` number, since 2 + 1 + 1 + 413 + 33 + 12 + 204 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7371369 + ... + 7652799.

It is an arithmetic number, because the mean of its divisors is an integer number (75294317280).

Almost surely, 22114133312204 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 2114133312204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710595422080).

2114133312204 is an abundant number, since it is smaller than the sum of its proper divisors (3307057531956).

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

2114133312204 is a wasteful number, since it uses less digits than its factorization.

2114133312204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284451 (or 284446 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2114133312204 its reverse (4022133314112), we get a palindrome (6136266626316).

The spelling of 2114133312204 in words is "two trillion, one hundred fourteen billion, one hundred thirty-three million, three hundred twelve thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 2939 5878 8817 11756 17634 26451 35268 52902 105804 208669 281431 417338 562862 626007 834676 844293 1125724 1252014 1688586 1878021 2504028 2532879 3377172 3756042 5065758 7512084 10131516 19981601 39963202 59944803 79926404 119889606 179834409 239779212 359668818 719337636 827125709 1654251418 2481377127 3308502836 4962754254 7444131381 9925508508 14888262762 29776525524 58725925339 117451850678 176177776017 234903701356 352355552034 528533328051 704711104068 1057066656102 2114133312204