Search a number
-
+
1022410424244 = 2231197137582853
BaseRepresentation
bin11101110000011000110…
…10001111111110110100
310121202000112120221011210
432320030122033332310
5113222344032033434
62101404443401420
7133603166133606
oct16701432177664
93552015527153
101022410424244
11364669037370
12146197223270
137554a16bac1
14376b0903176
151b8dde16ee9
hexee0c68ffb4

1022410424244 has 96 divisors (see below), whose sum is σ = 2648525878656. Its totient is φ = 304388628480.

The previous prime is 1022410424153. The next prime is 1022410424261. The reversal of 1022410424244 is 4424240142201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462722 + ... + 2045574.

It is an arithmetic number, because the mean of its divisors is an integer number (27588811236).

Almost surely, 21022410424244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022410424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324262939328).

1022410424244 is an abundant number, since it is smaller than the sum of its proper divisors (1626115454412).

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

1022410424244 is a wasteful number, since it uses less digits than its factorization.

1022410424244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583105 (or 583103 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 1022410424244 its reverse (4424240142201), we get a palindrome (5446650566445).

The spelling of 1022410424244 in words is "one trillion, twenty-two billion, four hundred ten million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 137 194 274 291 388 411 548 582 822 1067 1164 1507 1644 2134 3014 3201 4268 4521 6028 6402 9042 12804 13289 18084 26578 39867 53156 79734 146179 159468 292358 438537 582853 584716 877074 1165706 1748559 1754148 2331412 3497118 6411383 6994236 12822766 19234149 25645532 38468298 56536741 76936596 79850861 113073482 159701722 169610223 226146964 239552583 319403444 339220446 479105166 621904151 678440892 878359471 958210332 1243808302 1756718942 1865712453 2487616604 2635078413 3513437884 3731424906 5270156826 7462849812 7745533517 10540313652 15491067034 23236600551 30982134068 46473201102 85200868687 92946402204 170401737374 255602606061 340803474748 511205212122 1022410424244