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1022022101001 = 311311399714113
BaseRepresentation
bin11101101111101010100…
…00111010100000001001
310121201000110220001211110
432313311100322200021
5113221100124213001
62101302132320533
7133560442344066
oct16676520724011
93551013801743
101022022101001
11364489917370
121460a9173149
13754b7888335
14376750dbc6d
151b8b9cad3d6
hexedf543a809

1022022101001 has 32 divisors (see below), whose sum is σ = 1535630745600. Its totient is φ = 598997145600.

The previous prime is 1022022100993. The next prime is 1022022101069. The reversal of 1022022101001 is 1001012202201.

1022022101001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1022022101001 - 23 = 1022022100993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1022022101501) 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, 1074121 + ... + 1788233.

It is an arithmetic number, because the mean of its divisors is an integer number (47988460800).

Almost surely, 21022022101001 is an apocalyptic number.

1022022101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022022101001 is a deficient number, since it is larger than the sum of its proper divisors (513608644599).

1022022101001 is a wasteful number, since it uses less digits than its factorization.

1022022101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715557.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1022022101001 its reverse (1001012202201), we get a palindrome (2023034303202).

The spelling of 1022022101001 in words is "one trillion, twenty-two billion, twenty-two million, one hundred one thousand, one".

Divisors: 1 3 11 31 33 93 341 1023 1399 4197 15389 43369 46167 130107 477059 714113 1431177 2142339 7855243 22137503 23565729 66412509 243512533 730537599 999044087 2997132261 10989484957 30970366697 32968454871 92911100091 340674033667 1022022101001