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2125242211122 = 234257491103963
BaseRepresentation
bin11110111011010010010…
…011101001101100110010
321112011121210011101020000
4132323102103221230302
5234304444001223442
64304153420130430
7306354324506562
oct36732223515462
97464553141200
102125242211122
1174a345906798
122a3a77396a16
131255428236c4
1474c10106da2
153a4382d0d4c
hex1eed24e9b32

2125242211122 has 80 divisors (see below), whose sum is σ = 4790429072352. Its totient is φ = 704213637120.

The previous prime is 2125242211097. The next prime is 2125242211159. The reversal of 2125242211122 is 2211122425212.

2125242211122 is a `hidden beast` number, since 2 + 1 + 2 + 524 + 2 + 2 + 11 + 122 = 666.

It is a super-3 number, since 3×21252422111223 (a number of 38 digits) contains 333 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 20390313 + ... + 20494275.

Almost surely, 22125242211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125242211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395214536176).

2125242211122 is an abundant number, since it is smaller than the sum of its proper divisors (2665186861230).

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

2125242211122 is a wasteful number, since it uses less digits than its factorization.

2125242211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104725 (or 104716 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

Adding to 2125242211122 its reverse (2211122425212), we get a palindrome (4336364636334).

The spelling of 2125242211122 in words is "two trillion, one hundred twenty-five billion, two hundred forty-two million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 257 491 514 771 982 1473 1542 2313 2946 4419 4626 6939 8838 13257 13878 20817 26514 39771 41634 79542 103963 126187 207926 252374 311889 378561 623778 757122 935667 1135683 1871334 2271366 2807001 3407049 5614002 6814098 8421003 10221147 16842006 20442294 26718491 51045833 53436982 80155473 102091666 153137499 160310946 240466419 306274998 459412497 480932838 721399257 918824994 1378237491 1442798514 2164197771 2756474982 4134712473 4328395542 8269424946 13118779081 26237558162 39356337243 78712674486 118069011729 236138023458 354207035187 708414070374 1062621105561 2125242211122