Search a number
-
+
1301223322300 = 2252113761751817
BaseRepresentation
bin10010111011110110111…
…101000011001010111100
311121101200111020122221111
4102323312331003022330
5132304401132303200
62433435043411404
7163003345513606
oct22736675031274
94541614218844
101301223322300
11461933708360
12190229083b64
13959216962a5
1446d9dc2a176
1523cab51b0ba
hex12ef6f432bc

1301223322300 has 144 divisors (see below), whose sum is σ = 3168791746848. Its totient is φ = 459628646400.

The previous prime is 1301223322291. The next prime is 1301223322327. The reversal of 1301223322300 is 32233221031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25085992 + ... + 25137808.

It is an arithmetic number, because the mean of its divisors is an integer number (22005498242).

Almost surely, 21301223322300 is an apocalyptic number.

1301223322300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301223322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584395873424).

1301223322300 is an abundant number, since it is smaller than the sum of its proper divisors (1867568424548).

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

1301223322300 is a wasteful number, since it uses less digits than its factorization.

1301223322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52496 (or 52489 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1301223322300 its reverse (32233221031), we get a palindrome (1333456543331).

The spelling of 1301223322300 in words is "one trillion, three hundred one billion, two hundred twenty-three million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 617 740 814 925 1100 1234 1628 1850 2035 2468 3085 3700 4070 6170 6787 8140 10175 12340 13574 15425 20350 22829 27148 30850 33935 40700 45658 51817 61700 67870 91316 103634 114145 135740 169675 207268 228290 251119 259085 339350 456580 502238 518170 569987 570725 678700 1004476 1036340 1139974 1141450 1255595 1295425 1917229 2279948 2282900 2511190 2590850 2849935 3834458 5022380 5181700 5699870 6277975 7668916 9586145 11399740 12555950 14249675 19172290 21089519 25111900 28499350 31971089 38344580 42179038 47930725 56998700 63942178 84358076 95861450 105447595 127884356 159855445 191722900 210895190 319710890 351681979 421790380 527237975 639421780 703363958 799277225 1054475950 1182930293 1406727916 1598554450 1758409895 2108951900 2365860586 3197108900 3516819790 4731721172 5914651465 7033639580 8792049475 11829302930 13012233223 17584098950 23658605860 26024466446 29573257325 35168197900 52048932892 59146514650 65061166115 118293029300 130122332230 260244664460 325305830575 650611661150 1301223322300