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1001220230320 = 24582971508407
BaseRepresentation
bin11101001000111010110…
…00000100110010110000
310112201022202111112210121
432210131120010302300
5112400444334332240
62043542040140024
7132223112352562
oct16443530046260
93481282445717
101001220230320
1135668479a002
12142062767614
137355102420b
1436660521332
151b09d94b04a
hexe91d604cb0

1001220230320 has 40 divisors (see below), whose sum is σ = 2328119142624. Its totient is φ = 400439557632.

The previous prime is 1001220230299. The next prime is 1001220230321. The reversal of 1001220230320 is 230320221001.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 1001220230294 and 1001220230303.

It is not an unprimeable number, because it can be changed into a prime (1001220230321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90444 + ... + 1417963.

Almost surely, 21001220230320 is an apocalyptic number.

1001220230320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001220230320 is an abundant number, since it is smaller than the sum of its proper divisors (1326898912304).

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

1001220230320 is a wasteful number, since it uses less digits than its factorization.

1001220230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516717 (or 1516711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1001220230320 its reverse (230320221001), we get a palindrome (1231540451321).

The spelling of 1001220230320 in words is "one trillion, one billion, two hundred twenty million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 8297 16594 33188 41485 66376 82970 132752 165940 331880 663760 1508407 3016814 6033628 7542035 12067256 15084070 24134512 30168140 60336280 120672560 12515252879 25030505758 50061011516 62576264395 100122023032 125152528790 200244046064 250305057580 500610115160 1001220230320