Search a number
-
+
1022033101101 = 3235310322711953
BaseRepresentation
bin11101101111101011110…
…10111000000100101101
310121201001020120221010120
432313311322320010231
5113221110433213401
62101303204155153
7133560635010255
oct16676572700455
93551036527116
101022033101101
1136449504a961
121460b0998ab9
13754b9c3a17c
1437676762965
151b8bac32836
hexedf5eb812d

1022033101101 has 64 divisors (see below), whose sum is σ = 1469421637632. Its totient is φ = 630384049152.

The previous prime is 1022033101087. The next prime is 1022033101153. The reversal of 1022033101101 is 1011013302201.

It is a happy number.

It is not a de Polignac number, because 1022033101101 - 217 = 1022032970029 is a prime.

It is a super-2 number, since 2×10220331011012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022033121101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85498341 + ... + 85510293.

It is an arithmetic number, because the mean of its divisors is an integer number (22959713088).

Almost surely, 21022033101101 is an apocalyptic number.

It is an amenable number.

1022033101101 is a deficient number, since it is larger than the sum of its proper divisors (447388536531).

1022033101101 is a wasteful number, since it uses less digits than its factorization.

1022033101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12362.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1022033101101 its reverse (1011013302201), we get a palindrome (2033046403302).

The spelling of 1022033101101 in words is "one trillion, twenty-two billion, thirty-three million, one hundred one thousand, one hundred one".

Divisors: 1 3 23 53 69 103 159 227 309 681 1219 2369 3657 5221 5459 7107 11953 12031 15663 16377 23381 35859 36093 70143 125557 274919 276713 376671 537763 633509 824757 830139 1231159 1239193 1613289 1900527 2713331 3693477 3717579 8139993 14570707 28316657 28501439 43712121 62406613 65251427 84949971 85504317 143806543 187219839 195754281 279473093 431419629 838419279 1500782821 3307550489 4502348463 6427881139 9922651467 14812073929 19283643417 44436221787 340677700367 1022033101101