Search a number
-
+
1022355310212 = 2232101927869243
BaseRepresentation
bin11101110000010010010…
…00000000011010000100
310121201212200212211221100
432320021020000122010
5113222240424411322
62101355154220100
7133601626516365
oct16701110003204
93551780784840
101022355310212
1136463aa13385
12146180884630
137553b912a52
14376a7477b6c
151b8d917bdac
hexee09200684

1022355310212 has 36 divisors (see below), whose sum is σ = 2586823228080. Its totient is φ = 340450660272.

The previous prime is 1022355310091. The next prime is 1022355310357. The reversal of 1022355310212 is 2120135532201.

1022355310212 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 553 + 102 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13897938 + ... + 13971305.

It is an arithmetic number, because the mean of its divisors is an integer number (71856200780).

Almost surely, 21022355310212 is an apocalyptic number.

1022355310212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022355310212 is an abundant number, since it is smaller than the sum of its proper divisors (1564467917868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022355310212 is a wasteful number, since it uses less digits than its factorization.

1022355310212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27870272 (or 27870267 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1022355310212 in words is "one trillion, twenty-two billion, three hundred fifty-five million, three hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1019 2038 3057 4076 6114 9171 12228 18342 36684 27869243 55738486 83607729 111476972 167215458 250823187 334430916 501646374 1003292748 28398758617 56797517234 85196275851 113595034468 170392551702 255588827553 340785103404 511177655106 1022355310212