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1001223212320 = 25556941109897
BaseRepresentation
bin11101001000111011000…
…11011100110100100000
310112201022222010001100001
432210131203130310200
5112401001120243240
62043542224105344
7132223146612502
oct16443543346440
93481288101301
101001223212320
11356686446471
12142063765254
1373551829606
1436660a99d72
151b09dd3989a
hexe91d8dcd20

1001223212320 has 48 divisors (see below), whose sum is σ = 2365452904248. Its totient is φ = 400478607360.

The previous prime is 1001223212251. The next prime is 1001223212387. The reversal of 1001223212320 is 232123221001.

It can be written as a sum of positive squares in 4 ways, for example, as 675506459664 + 325716752656 = 821892^2 + 570716^2 .

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 7 ways as a sum of consecutive naturals, for example, 9055612 + ... + 9165508.

Almost surely, 21001223212320 is an apocalyptic number.

1001223212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001223212320 is an abundant number, since it is smaller than the sum of its proper divisors (1364229691928).

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

1001223212320 is a wasteful number, since it uses less digits than its factorization.

1001223212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166853 (or 166845 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1001223212320 its reverse (232123221001), we get a palindrome (1233346433321).

The spelling of 1001223212320 in words is "one trillion, one billion, two hundred twenty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 56941 109897 113882 219794 227764 284705 439588 455528 549485 569410 879176 911056 1098970 1138820 1758352 1822112 2197940 2277640 3516704 4395880 4555280 8791760 9110560 17583520 6257645077 12515290154 25030580308 31288225385 50061160616 62576450770 100122321232 125152901540 200244642464 250305803080 500611606160 1001223212320