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10412422224001 = 7314714919073593
BaseRepresentation
bin1001011110000101010010…
…1110100101100010000001
31100212102021121101222121121
42113201110232211202001
52331044120042132001
634051222320352241
72123162346404650
oct227412456454201
940772247358547
1010412422224001
113354979992146
121201bb7175681
135a6b6c251465
1427dd6d01b197
15130cb71b06a1
hex97854ba5881

10412422224001 has 64 divisors (see below), whose sum is σ = 12639471206400. Its totient is φ = 8389793594880.

The previous prime is 10412422223989. The next prime is 10412422224073. The reversal of 10412422224001 is 10042222421401.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10412422224001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10412422264001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2897972661 + ... + 2897976253.

It is an arithmetic number, because the mean of its divisors is an integer number (197491737600).

Almost surely, 210412422224001 is an apocalyptic number.

It is an amenable number.

10412422224001 is a deficient number, since it is larger than the sum of its proper divisors (2227048982399).

10412422224001 is a wasteful number, since it uses less digits than its factorization.

10412422224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 10412422224001 its reverse (10042222421401), we get a palindrome (20454644645402).

The spelling of 10412422224001 in words is "ten trillion, four hundred twelve billion, four hundred twenty-two million, two hundred twenty-four thousand, one".

Divisors: 1 7 31 47 149 217 329 1043 1457 1907 3593 4619 7003 10199 13349 25151 32333 49021 59117 89629 111383 168871 217093 284143 413819 535357 627403 779681 1182097 1519651 1989001 2778499 3747499 5235001 6851851 8808433 13354721 16596067 19449493 25161779 36645007 47962957 61659031 93483047 116172469 176132453 212407381 322036997 413996351 780015149 1020925799 1486851667 2254258979 2897974457 5460106043 7146480593 9983146907 31648699769 47983512553 69882028349 221540898383 335884587871 1487488889143 10412422224001