Search a number
-
+
1022314301400 = 233527243408167
BaseRepresentation
bin11101110000001101010…
…11100100011111011000
310121201202211201101102110
432320012223210133120
5113222144430121100
62101351131232320
7133600621120230
oct16700653443730
93551684641373
101022314301400
113646198538a7
1214616aba86a0
1375533284c92
14376a1c40cc0
151b8d577b250
hexee06ae47d8

1022314301400 has 96 divisors (see below), whose sum is σ = 3621913539840. Its totient is φ = 233671839360.

The previous prime is 1022314301389. The next prime is 1022314301417. The reversal of 1022314301400 is 41034132201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121699884 + ... + 121708283.

It is an arithmetic number, because the mean of its divisors is an integer number (37728266040).

Almost surely, 21022314301400 is an apocalyptic number.

1022314301400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022314301400 is an abundant number, since it is smaller than the sum of its proper divisors (2599599238440).

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

1022314301400 is a wasteful number, since it uses less digits than its factorization.

1022314301400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243408193 (or 243408184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1022314301400 its reverse (41034132201), we get a palindrome (1063348433601).

The spelling of 1022314301400 in words is "one trillion, twenty-two billion, three hundred fourteen million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 243408167 486816334 730224501 973632668 1217040835 1460449002 1703857169 1947265336 2434081670 2920898004 3407714338 3651122505 4868163340 5111571507 5841796008 6085204175 6815428676 7302245010 8519285845 9736326680 10223143014 12170408350 13630857352 14604490020 17038571690 18255612525 20446286028 24340816700 25557857535 29208980040 34077143380 36511225050 40892572056 42596429225 48681633400 51115715070 68154286760 73022450100 85192858450 102231430140 127789287675 146044900200 170385716900 204462860280 255578575350 340771433800 511157150700 1022314301400