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2110142410112 = 27112197170721
BaseRepresentation
bin11110101101001110010…
…010011110110110000000
321110201122110020000021202
4132231032102132312000
5234033032424110422
64253215215040332
7305311203354242
oct36551622366600
97421573200252
102110142410112
117439a7419800
122a0b625100a8
13123ca74035c9
14741ba944092
1539d52855b92
hex1eb4e49ed80

2110142410112 has 96 divisors (see below), whose sum is σ = 4863900732600. Its totient is φ = 908673638400.

The previous prime is 2110142410111. The next prime is 2110142410141.

2110142410112 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110142410111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3291089 + ... + 3879632.

Almost surely, 22110142410112 is an apocalyptic number.

2110142410112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2110142410112 is an abundant number, since it is smaller than the sum of its proper divisors (2753758322488).

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

2110142410112 is a wasteful number, since it uses less digits than its factorization.

2110142410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170776 (or 7170753 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 2110142410112 in words is "two trillion, one hundred ten billion, one hundred forty-two million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 121 128 152 176 209 242 304 352 418 484 608 704 836 968 1216 1408 1672 1936 2299 2432 3344 3872 4598 6688 7744 9196 13376 15488 18392 26752 36784 73568 147136 294272 7170721 14341442 28682884 57365768 78877931 114731536 136243699 157755862 229463072 272487398 315511724 458926144 544974796 631023448 867657241 917852288 1089949592 1262046896 1498680689 1735314482 2179899184 2524093792 2997361378 3470628964 4359798368 5048187584 5994722756 6941257928 8719596736 10096375168 11989445512 13882515856 16485487579 17439193472 23978891024 27765031712 32970975158 47957782048 55530063424 65941950316 95915564096 111060126848 131883900632 191831128192 263767801264 527535602528 1055071205056 2110142410112