Search a number
-
+
1022302313120 = 255113831516589
BaseRepresentation
bin11101110000001011111…
…01110101101010100000
310121201202000011022121002
432320011331311222200
5113222133343004440
62101350022251132
7133600414200044
oct16700575655240
93551660138532
101022302313120
11364613005930
12146166b86aa8
137553094841a
14376a0400024
151b8d46ae115
hexee05f75aa0

1022302313120 has 96 divisors (see below), whose sum is σ = 2641632860160. Its totient is φ = 370775434240.

The previous prime is 1022302313107. The next prime is 1022302313143. The reversal of 1022302313120 is 213132032201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1022302313092 and 1022302313101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84215 + ... + 1432374.

It is an arithmetic number, because the mean of its divisors is an integer number (27517008960).

Almost surely, 21022302313120 is an apocalyptic number.

1022302313120 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 1022302313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320816430080).

1022302313120 is an abundant number, since it is smaller than the sum of its proper divisors (1619330547040).

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

1022302313120 is a wasteful number, since it uses less digits than its factorization.

1022302313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516998 (or 1516990 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1022302313120 its reverse (213132032201), we get a palindrome (1235434345321).

The spelling of 1022302313120 in words is "one trillion, twenty-two billion, three hundred two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 383 440 766 880 1532 1760 1915 3064 3830 4213 6128 7660 8426 12256 15320 16852 21065 30640 33704 42130 61280 67408 84260 134816 168520 337040 674080 1516589 3033178 6066356 7582945 12132712 15165890 16682479 24265424 30331780 33364958 48530848 60663560 66729916 83412395 121327120 133459832 166824790 242654240 266919664 333649580 533839328 580853587 667299160 1161707174 1334598320 2323414348 2669196640 2904267935 4646828696 5808535870 6389389457 9293657392 11617071740 12778778914 18587314784 23234143480 25557557828 31946947285 46468286960 51115115656 63893894570 92936573920 102230231312 127787789140 204460462624 255575578280 511151156560 1022302313120