Search a number
-
+
1022133121140 = 223519896608001
BaseRepresentation
bin11101101111110111110…
…00011011000001110100
310121201022012210110211110
432313323320123001310
5113221312034334030
62101321140035020
7133563261115005
oct16677370330164
93551265713743
101022133121140
1136453655544a
1214611a392a70
1375504889b21
1437685b5b1ac
151b8c48dd1b0
hexedfbe1b074

1022133121140 has 48 divisors (see below), whose sum is σ = 3012602886720. Its totient is φ = 258223104000.

The previous prime is 1022133121133. The next prime is 1022133121147. The reversal of 1022133121140 is 411213312201.

It is an interprime number because it is at equal distance from previous prime (1022133121133) and next prime (1022133121147).

It is a super-2 number, since 2×10221331211402 (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 (1022133121147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448302861 + ... + 448305140.

It is an arithmetic number, because the mean of its divisors is an integer number (62762560140).

Almost surely, 21022133121140 is an apocalyptic number.

1022133121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022133121140 is an abundant number, since it is smaller than the sum of its proper divisors (1990469765580).

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

1022133121140 is a wasteful number, since it uses less digits than its factorization.

1022133121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896608032 (or 896608030 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1022133121140 its reverse (411213312201), we get a palindrome (1433346433341).

The spelling of 1022133121140 in words is "one trillion, twenty-two billion, one hundred thirty-three million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 896608001 1793216002 2689824003 3586432004 4483040005 5379648006 8966080010 10759296012 13449120015 17035552019 17932160020 26898240030 34071104038 51106656057 53796480060 68142208076 85177760095 102213312114 170355520190 204426624228 255533280285 340711040380 511066560570 1022133121140