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1020011121122 = 272310613298477
BaseRepresentation
bin11101101011111010110…
…01101000100111100010
310121111211022212201001012
432311331121220213202
5113202440321333442
62100330414140522
7133456553322020
oct16657531504742
93544738781035
101020011121122
11363647760424
121458277b1742
1375257068406
1437523dc5710
151b7ed47c582
hexed7d6689e2

1020011121122 has 32 divisors (see below), whose sum is σ = 1824794203392. Its totient is φ = 418100405184.

The previous prime is 1020011121121. The next prime is 1020011121127. The reversal of 1020011121122 is 2211211100201.

It is a super-3 number, since 3×10200111211223 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1020011121097 and 1020011121106.

It is not an unprimeable number, because it can be changed into a prime (1020011121121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3268148 + ... + 3566624.

It is an arithmetic number, because the mean of its divisors is an integer number (57024818856).

Almost surely, 21020011121122 is an apocalyptic number.

1020011121122 is a deficient number, since it is larger than the sum of its proper divisors (804783082270).

1020011121122 is a wasteful number, since it uses less digits than its factorization.

1020011121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309122.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1020011121122 its reverse (2211211100201), we get a palindrome (3231222221323).

The spelling of 1020011121122 in words is "one trillion, twenty billion, eleven million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 14 23 46 161 322 10613 21226 74291 148582 244099 298477 488198 596954 1708693 2089339 3417386 4178678 6864971 13729942 48054797 96109594 3167736401 6335472802 22174154807 44348309614 72857937223 145715874446 510005560561 1020011121122