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11012331040 = 2554110915401
BaseRepresentation
bin10100100000110001…
…01101011000100000
31001102110122101020121
422100120231120200
5140023124043130
65020424250024
7536616161254
oct122030553040
931373571217
1011012331040
1147411a0337
122174010914
131066654219
147667a0264
15446bc7d7a
hex29062d620

11012331040 has 96 divisors (see below), whose sum is σ = 26897436720. Its totient is φ = 4257792000.

The previous prime is 11012330957. The next prime is 11012331091. The reversal of 11012331040 is 4013321011.

It can be written as a sum of positive squares in 8 ways, for example, as 6607088656 + 4405242384 = 81284^2 + 66372^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 707340 + ... + 722740.

Almost surely, 211012331040 is an apocalyptic number.

11012331040 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 11012331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448718360).

11012331040 is an abundant number, since it is smaller than the sum of its proper divisors (15885105680).

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

11012331040 is a wasteful number, since it uses less digits than its factorization.

11012331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15566 (or 15558 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11012331040 its reverse (4013321011), we get a palindrome (15025652051).

The spelling of 11012331040 in words is "eleven billion, twelve million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 109 160 164 205 218 328 410 436 545 656 820 872 1090 1312 1640 1744 2180 3280 3488 4360 4469 6560 8720 8938 15401 17440 17876 22345 30802 35752 44690 61604 71504 77005 89380 123208 143008 154010 178760 246416 308020 357520 492832 616040 631441 715040 1232080 1262882 1678709 2464160 2525764 3157205 3357418 5051528 6314410 6714836 8393545 10103056 12628820 13429672 16787090 20206112 25257640 26859344 33574180 50515280 53718688 67148360 68827069 101030560 134296720 137654138 268593440 275308276 344135345 550616552 688270690 1101233104 1376541380 2202466208 2753082760 5506165520 11012331040