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1121012001021 = 311178325195917
BaseRepresentation
bin10000010100000001100…
…001011010100011111101
310222011112020212000101210
4100110001201122203331
5121331313033013041
62214552533355033
7143663502534513
oct20240141324375
93864466760353
101121012001021
113a24670603a0
12161314798a79
1381932032683
143c385d424b3
151e2604be016
hex1050185a8fd

1121012001021 has 64 divisors (see below), whose sum is σ = 1754258881536. Its totient is φ = 629208960000.

The previous prime is 1121012001019. The next prime is 1121012001203. The reversal of 1121012001021 is 1201002101211.

It is not a de Polignac number, because 1121012001021 - 21 = 1121012001019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121012000988 and 1121012001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121012001821) 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 63 ways as a sum of consecutive naturals, for example, 11639355 + ... + 11735271.

It is an arithmetic number, because the mean of its divisors is an integer number (27410295024).

Almost surely, 21121012001021 is an apocalyptic number.

1121012001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121012001021 is a deficient number, since it is larger than the sum of its proper divisors (633246880515).

1121012001021 is a wasteful number, since it uses less digits than its factorization.

1121012001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96282.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1121012001021 its reverse (1201002101211), we get a palindrome (2322014102232).

The spelling of 1121012001021 in words is "one trillion, one hundred twenty-one billion, twelve million, one thousand, twenty-one".

Divisors: 1 3 11 17 33 51 83 187 249 251 561 753 913 1411 2739 2761 4233 4267 8283 12801 15521 20833 46563 46937 62499 95917 140811 229163 287751 354161 687489 1055087 1062483 1630589 3165261 3895771 4891767 7961111 11687313 17936479 23883333 24075167 53809437 72225501 87572221 135338887 262716663 264826837 406016661 409277839 794480511 1227833517 1488727757 1998238861 4466183271 4502056229 5994716583 13506168687 21980627471 33970060637 65941882413 101910181911 373670667007 1121012001021