Search a number
-
+
1022213022144 = 26319280211903
BaseRepresentation
bin11101110000000001010…
…01001110000111000000
310121201111210010212101220
432320000221032013000
5113221443013202034
62101333112355040
7133565251216356
oct16700051160700
93551453125356
101022213022144
11364577669236
121461410a5a80
13755182b4122
14376925d97d6
151b8cb922749
hexee00a4e1c0

1022213022144 has 56 divisors (see below), whose sum is σ = 2846952944640. Its totient is φ = 322804111104.

The previous prime is 1022213022121. The next prime is 1022213022157. The reversal of 1022213022144 is 4412203122201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140102304 + ... + 140109599.

It is an arithmetic number, because the mean of its divisors is an integer number (50838445440).

Almost surely, 21022213022144 is an apocalyptic number.

It is an amenable number.

1022213022144 is an abundant number, since it is smaller than the sum of its proper divisors (1824739922496).

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

1022213022144 is a wasteful number, since it uses less digits than its factorization.

1022213022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280211937 (or 280211927 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1022213022144 its reverse (4412203122201), we get a palindrome (5434416144345).

The spelling of 1022213022144 in words is "one trillion, twenty-two billion, two hundred thirteen million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 280211903 560423806 840635709 1120847612 1681271418 2241695224 3362542836 4483390448 5324026157 6725085672 8966780896 10648052314 13450171344 15972078471 17933561792 21296104628 26900342688 31944156942 42592209256 53800685376 63888313884 85184418512 127776627768 170368837024 255553255536 340737674048 511106511072 1022213022144