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1113002121 = 3721117192131
BaseRepresentation
bin100001001010111…
…0001000010001001
32212120022100212210
41002111301002021
54234412031441
6302235255333
736403235100
oct10225610211
92776270783
101113002121
11521295a70
122708aa549
13149783b4a
14a7b65037
1567aa3616
hex42571089

1113002121 has 96 divisors (see below), whose sum is σ = 2099934720. Its totient is φ = 515289600.

The previous prime is 1113002081. The next prime is 1113002141. The reversal of 1113002121 is 1212003111.

It is not a de Polignac number, because 1113002121 - 211 = 1113000073 is a prime.

It is a super-3 number, since 3×11130021213 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1113002097 and 1113002106.

It is not an unprimeable number, because it can be changed into a prime (1113002141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 521226 + ... + 523356.

It is an arithmetic number, because the mean of its divisors is an integer number (21874320).

Almost surely, 21113002121 is an apocalyptic number.

1113002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1113002121 is a deficient number, since it is larger than the sum of its proper divisors (986932599).

1113002121 is a wasteful number, since it uses less digits than its factorization.

1113002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1113002121 is about 33361.6864232011. The cubic root of 1113002121 is about 1036.3314163694.

Adding to 1113002121 its reverse (1212003111), we get a palindrome (2325005232).

The spelling of 1113002121 in words is "one billion, one hundred thirteen million, two thousand, one hundred twenty-one".

Divisors: 1 3 7 11 17 19 21 33 49 51 57 77 119 133 147 187 209 231 323 357 399 539 561 627 833 931 969 1309 1463 1617 2131 2261 2499 2793 3553 3927 4389 6393 6783 9163 10241 10659 14917 15827 23441 24871 27489 30723 36227 40489 44751 47481 70323 74613 104419 108681 121467 164087 174097 253589 283423 313257 398497 445379 492261 522291 688313 760767 850269 1148609 1195491 1336137 1775123 1983961 2064939 2789479 3117653 3445827 4818191 5325369 5951883 7571443 8368437 9352959 14454573 19526353 21823571 22714329 33727337 53000101 58579059 65470713 101182011 159000303 371000707 1113002121