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2103021112122 = 232789211888793
BaseRepresentation
bin11110100110100101110…
…100111000101100111010
321110001021011020120221100
4132212211310320230322
5233423441401041442
64250040424552230
7304636552336440
oct36464564705472
97401234216840
102103021112122
11740982657167
1229b6b5622676
13123410c3aa08
1473b02c50b90
1539a8757b84c
hex1e9a5d38b3a

2103021112122 has 96 divisors (see below), whose sum is σ = 5290955130240. Its totient is φ = 591295541760.

The previous prime is 2103021112099. The next prime is 2103021112187. The reversal of 2103021112122 is 2212111203012.

2103021112122 is a `hidden beast` number, since 210 + 30 + 211 + 1 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2103021112095 and 2103021112104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921758 + ... + 2810550.

It is an arithmetic number, because the mean of its divisors is an integer number (55114115940).

Almost surely, 22103021112122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103021112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645477565120).

2103021112122 is an abundant number, since it is smaller than the sum of its proper divisors (3187934018118).

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

2103021112122 is a wasteful number, since it uses less digits than its factorization.

2103021112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889108 (or 889105 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2103021112122 its reverse (2212111203012), we get a palindrome (4315132315134).

The spelling of 2103021112122 in words is "two trillion, one hundred three billion, twenty-one million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 126 178 211 267 422 534 623 633 801 1246 1266 1477 1602 1869 1899 2954 3738 3798 4431 5607 8862 11214 13293 18779 26586 37558 56337 112674 131453 169011 262906 338022 394359 788718 888793 1183077 1777586 2366154 2666379 5332758 6221551 7999137 12443102 15998274 18664653 37329306 55993959 79102577 111987918 158205154 187535323 237307731 375070646 474615462 553718039 562605969 711923193 1107436078 1125211938 1312747261 1423846386 1661154117 1687817907 2625494522 3322308234 3375635814 3938241783 4983462351 7876483566 9966924702 11814725349 16690643747 23629450698 33381287494 50071931241 100143862482 116834506229 150215793723 233669012458 300431587446 350503518687 701007037374 1051510556061 2103021112122