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2114231221242 = 2337172691223093
BaseRepresentation
bin11110110001000010000…
…000000011101111111010
321111010012102001010201000
4132301002000003233322
5234114421143034432
64255133040305430
7305514422602350
oct36610200035772
97433172033630
102114231221242
11745705452058
122a1903912276
131244a954ba8a
14744879b57d0
1539ee17c057c
hex1ec42003bfa

2114231221242 has 128 divisors (see below), whose sum is σ = 5706467366400. Its totient is φ = 566418797568.

The previous prime is 2114231221241. The next prime is 2114231221321. The reversal of 2114231221242 is 2421221324112.

2114231221242 is a `hidden beast` number, since 2 + 11 + 423 + 1 + 221 + 2 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2114231221241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1117048 + ... + 2340140.

It is an arithmetic number, because the mean of its divisors is an integer number (44581776300).

Almost surely, 22114231221242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114231221242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853233683200).

2114231221242 is an abundant number, since it is smaller than the sum of its proper divisors (3592236145158).

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

2114231221242 is a wasteful number, since it uses less digits than its factorization.

2114231221242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223397 (or 1223391 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 2114231221242 its reverse (2421221324112), we get a palindrome (4535452545354).

The spelling of 2114231221242 in words is "two trillion, one hundred fourteen billion, two hundred thirty-one million, two hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 269 306 357 378 459 538 714 807 918 1071 1614 1883 2142 2421 3213 3766 4573 4842 5649 6426 7263 9146 11298 13719 14526 16947 27438 32011 33894 41157 50841 64022 82314 96033 101682 123471 192066 246942 288099 576198 864297 1223093 1728594 2446186 3669279 7338558 8561651 11007837 17123302 20792581 22015674 25684953 33023511 41585162 51369906 62377743 66047022 77054859 124755486 145548067 154109718 187133229 231164577 291096134 329012017 374266458 436644201 462329154 561399687 658024034 873288402 987036051 1122799374 1309932603 1974072102 2303084119 2619865206 2961108153 3929797809 4606168238 5593204289 5922216306 6909252357 7859595618 8883324459 11186408578 13818504714 16779612867 17766648918 20727757071 33559225734 39152430023 41455514142 50338838601 62183271213 78304860046 100677677202 117457290069 124366542426 151016515803 234914580138 302033031606 352371870207 704743740414 1057115610621 2114231221242