Search a number
-
+
1011010302032 = 241929170967103
BaseRepresentation
bin11101011011001001110…
…10001111000001010000
310120122121001020201110012
432231210322033001100
5113031022114131112
62052241323254052
7133020530526653
oct16554472170120
93518531221405
101011010302032
1135a848a5a865
12143b3537a328
137445138c363
1436d0c83989a
151b47318d022
hexeb64e8f050

1011010302032 has 80 divisors (see below), whose sum is σ = 2134309824000. Its totient is φ = 462108390912.

The previous prime is 1011010302011. The next prime is 1011010302041. The reversal of 1011010302032 is 2302030101101.

It is a junction number, because it is equal to n+sod(n) for n = 1011010301998 and 1011010302016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15032993 + ... + 15100095.

It is an arithmetic number, because the mean of its divisors is an integer number (26678872800).

Almost surely, 21011010302032 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 1011010302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067154912000).

1011010302032 is an abundant number, since it is smaller than the sum of its proper divisors (1123299521968).

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

1011010302032 is a wasteful number, since it uses less digits than its factorization.

1011010302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68868 (or 68862 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1011010302032 its reverse (2302030101101), we get a palindrome (3313040403133).

The spelling of 1011010302032 in words is "one trillion, eleven billion, ten million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 551 1102 1709 2204 3418 4408 6836 8816 13672 27344 32471 49561 64942 67103 99122 129884 134206 198244 259768 268412 396488 519536 536824 792976 941659 1073648 1274957 1883318 1945987 2549914 3766636 3891974 5099828 7533272 7783948 10199656 15066544 15567896 20399312 31135792 36973753 73947506 114679027 147895012 229358054 295790024 458716108 591580048 917432216 1834864432 2178901513 3325691783 4357803026 6651383566 8715606052 13302767132 17431212104 26605534264 34862424208 53211068528 63188143877 126376287754 252752575508 505505151016 1011010302032