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1032122212121 = 7111322330715061
BaseRepresentation
bin11110000010011110100…
…01110001111100011001
310122200002101000212121002
433001033101301330121
5113402241241241441
62110052252554345
7134365644023150
oct17011721617431
93580071025532
101032122212121
113687a2099340
121480477829b5
1376437227a50
1437d52680597
151bcab843b9b
hexf04f471f19

1032122212121 has 64 divisors (see below), whose sum is σ = 1396627685376. Its totient is φ = 736600262400.

The previous prime is 1032122212111. The next prime is 1032122212127. The reversal of 1032122212121 is 1212122212301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1032122212121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032122212093 and 1032122212102.

It is not an unprimeable number, because it can be changed into a prime (1032122212127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68521931 + ... + 68536991.

It is an arithmetic number, because the mean of its divisors is an integer number (21822307584).

Almost surely, 21032122212121 is an apocalyptic number.

1032122212121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1032122212121 is a deficient number, since it is larger than the sum of its proper divisors (364505473255).

1032122212121 is a wasteful number, since it uses less digits than its factorization.

1032122212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15622.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1032122212121 its reverse (1212122212301), we get a palindrome (2244244424422).

The spelling of 1032122212121 in words is "one trillion, thirty-two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 223 307 1001 1561 2149 2453 2899 3377 3991 15061 17171 20293 23639 27937 31889 43901 68461 105427 165671 195793 223223 307307 479227 753071 889993 1159697 1370551 2153723 3358603 4623727 5271497 6229951 9789923 15076061 23510221 32366089 36944633 43661839 50860997 60108451 68529461 258612431 305632873 356026979 420759157 480280229 661192961 1031091121 3361961603 4628350727 7217637847 11342002331 13404184573 79394016317 93829292011 147446030303 1032122212121