Search a number
-
+
1016122552160 = 255371291132953
BaseRepresentation
bin11101100100101011001…
…11111010111101100000
310121010210022211221020112
432302111213322331200
5113122004333132120
62054444504430452
7133261315120202
oct16622547727540
93533708757215
101016122552160
11361a31765a71
12144b21478428
1374a87560531
143727579a772
151b671db8bc5
hexec959faf60

1016122552160 has 96 divisors (see below), whose sum is σ = 2467398622752. Its totient is φ = 395154616320.

The previous prime is 1016122552153. The next prime is 1016122552183. The reversal of 1016122552160 is 612552216101.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 7576244 + ... + 7709196.

It is an arithmetic number, because the mean of its divisors is an integer number (25702068987).

Almost surely, 21016122552160 is an apocalyptic number.

1016122552160 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 1016122552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233699311376).

1016122552160 is an abundant number, since it is smaller than the sum of its proper divisors (1451276070592).

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

1016122552160 is a wasteful number, since it uses less digits than its factorization.

1016122552160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134296 (or 134288 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 1016122552160 its reverse (612552216101), we get a palindrome (1628674768261).

The spelling of 1016122552160 in words is "one trillion, sixteen billion, one hundred twenty-two million, five hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1291 1480 2582 2960 5164 5920 6455 10328 12910 20656 25820 41312 47767 51640 95534 103280 132953 191068 206560 238835 265906 382136 477670 531812 664765 764272 955340 1063624 1329530 1528544 1910680 2127248 2659060 3821360 4254496 4919261 5318120 7642720 9838522 10636240 19677044 21272480 24596305 39354088 49192610 78708176 98385220 157416352 171642323 196770440 343284646 393540880 686569292 787081760 858211615 1373138584 1716423230 2746277168 3432846460 5492554336 6350765951 6865692920 12701531902 13731385840 25403063804 27462771680 31753829755 50806127608 63507659510 101612255216 127015319020 203224510432 254030638040 508061276080 1016122552160