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1022224222201 = 713731371123211
BaseRepresentation
bin11101110000000010100…
…11111100011111111001
310121201112120012212222211
432320001103330133321
5113222003400102301
62101334152415121
7133565445344530
oct16700123743771
93551476185884
101022224222201
11364582a18a86
121461449a74a1
137551a705c90
1437693cb3317
151b8cc8d6051
hexee014fc7f9

1022224222201 has 32 divisors (see below), whose sum is σ = 1284666985728. Its totient is φ = 791890007040.

The previous prime is 1022224222127. The next prime is 1022224222259.

1022224222201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1022224222201 - 27 = 1022224222073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022224225201) 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 31 ways as a sum of consecutive naturals, for example, 348486 + ... + 1471696.

It is an arithmetic number, because the mean of its divisors is an integer number (40145843304).

Almost surely, 21022224222201 is an apocalyptic number.

It is an amenable number.

1022224222201 is a deficient number, since it is larger than the sum of its proper divisors (262442763527).

1022224222201 is a wasteful number, since it uses less digits than its factorization.

1022224222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123441.

The product of its (nonzero) digits is 1024, while the sum is 22.

The spelling of 1022224222201 in words is "one trillion, twenty-two billion, two hundred twenty-four million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 7 13 73 91 137 511 949 959 1781 6643 10001 12467 70007 130013 910091 1123211 7862477 14601743 81994403 102212201 153879907 573960821 1065927239 1077159349 2000438791 7461490673 11233233211 14003071537 78632632477 146032031743 1022224222201