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1022112211001 = 773137139105037
BaseRepresentation
bin11101101111110101010…
…00101010000000111001
310121201020202110010111212
432313322220222000321
5113221241211223001
62101315111532505
7133562615305340
oct16677250520071
93551222403455
101022112211001
11364525773342
1214611338a135
137550044836b
1437683076b57
151b8c2b5c7bb
hexedfaa2a039

1022112211001 has 32 divisors (see below), whose sum is σ = 1201365822720. Its totient is φ = 851608359936.

The previous prime is 1022112210997. The next prime is 1022112211009. The reversal of 1022112211001 is 1001122112201.

It is a cyclic number.

It is not a de Polignac number, because 1022112211001 - 22 = 1022112210997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022112211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9678455 + ... + 9783491.

It is an arithmetic number, because the mean of its divisors is an integer number (37542681960).

Almost surely, 21022112211001 is an apocalyptic number.

It is an amenable number.

1022112211001 is a deficient number, since it is larger than the sum of its proper divisors (179253611719).

1022112211001 is a wasteful number, since it uses less digits than its factorization.

1022112211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105393.

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

Adding to 1022112211001 its reverse (1001122112201), we get a palindrome (2023234323202).

The spelling of 1022112211001 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred eleven thousand, one".

Divisors: 1 7 73 137 139 511 959 973 10001 10147 19043 70007 71029 105037 133301 735259 1390139 7667701 9730973 14390069 14600143 53673907 100730483 102201001 1050475037 1065810439 2000219591 7353325259 7460673073 14001537137 146016030143 1022112211001