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1001122420 = 2254110931117
BaseRepresentation
bin111011101010111…
…110101001110100
32120202210021210011
4323222332221310
54022241404140
6243201310004
733544254154
oct7352765164
92522707704
101001122420
11474120101
1223b335304
1312c54103c
1496d60764
155cd53cea
hex3babea74

1001122420 has 48 divisors (see below), whose sum is σ = 2157534288. Its totient is φ = 389975040.

The previous prime is 1001122417. The next prime is 1001122439. The reversal of 1001122420 is 242211001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 91738084 + 909384336 = 9578^2 + 30156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1001122420.

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, 895702 + ... + 896818.

It is an arithmetic number, because the mean of its divisors is an integer number (44948631).

Almost surely, 21001122420 is an apocalyptic number.

1001122420 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 1001122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078767144).

1001122420 is an abundant number, since it is smaller than the sum of its proper divisors (1156411868).

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

1001122420 is a wasteful number, since it uses less digits than its factorization.

1001122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1001122420 is about 31640.5186430311. The cubic root of 1001122420 is about 1000.3740001065.

Adding to 1001122420 its reverse (242211001), we get a palindrome (1243333421).

The spelling of 1001122420 in words is "one billion, one million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1093 1117 2186 2234 4372 4468 5465 5585 10930 11170 21860 22340 44813 45797 89626 91594 179252 183188 224065 228985 448130 457970 896260 915940 1220881 2441762 4883524 6104405 12208810 24417620 50056121 100112242 200224484 250280605 500561210 1001122420