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1001124420 = 223553833793
BaseRepresentation
bin111011101010111…
…111001001000100
32120202210101112020
4323222333021010
54022241440140
6243201323140
733544263042
oct7352771104
92522711466
101001124420
1147412165a
1223b3364b0
1312c541c1a
1496d61392
155cd546d0
hex3babf244

1001124420 has 96 divisors (see below), whose sum is σ = 2891210112. Its totient is φ = 258705408.

The previous prime is 1001124403. The next prime is 1001124431. The reversal of 1001124420 is 244211001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001124420.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 262044 + ... + 265836.

It is an arithmetic number, because the mean of its divisors is an integer number (30116772).

Almost surely, 21001124420 is an apocalyptic number.

1001124420 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 1001124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445605056).

1001124420 is an abundant number, since it is smaller than the sum of its proper divisors (1890085692).

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

1001124420 is a wasteful number, since it uses less digits than its factorization.

1001124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1001124420 is about 31640.5502480598. The cubic root of 1001124420 is about 1000.3746662743.

Adding to 1001124420 its reverse (244211001), we get a palindrome (1245335421).

The spelling of 1001124420 in words is "one billion, one million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 83 106 159 166 212 249 265 318 332 415 498 530 636 795 830 996 1060 1245 1590 1660 2490 3180 3793 4399 4980 7586 8798 11379 13197 15172 17596 18965 21995 22758 26394 37930 43990 45516 52788 56895 65985 75860 87980 113790 131970 201029 227580 263940 314819 402058 603087 629638 804116 944457 1005145 1206174 1259276 1574095 1888914 2010290 2412348 3015435 3148190 3777828 4020580 4722285 6030870 6296380 9444570 12061740 16685407 18889140 33370814 50056221 66741628 83427035 100112442 166854070 200224884 250281105 333708140 500562210 1001124420