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1001133220 = 2253161103257
BaseRepresentation
bin111011101011000…
…001010010100100
32120202210211121011
4323223001102210
54022242230340
6243201432004
733544330513
oct7353012244
92522724534
101001133220
1147412822a
1223b33b604
1312c545c29
1496d6467a
155cd570ea
hex3bac14a4

1001133220 has 96 divisors (see below), whose sum is σ = 2235856896. Its totient is φ = 376012800.

The previous prime is 1001133209. The next prime is 1001133227. The reversal of 1001133220 is 223311001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001133220.

It is not an unprimeable number, because it can be changed into a prime (1001133227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3895332 + ... + 3895588.

It is an arithmetic number, because the mean of its divisors is an integer number (23290176).

Almost surely, 21001133220 is an apocalyptic number.

1001133220 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 1001133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117928448).

1001133220 is an abundant number, since it is smaller than the sum of its proper divisors (1234723676).

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

1001133220 is a wasteful number, since it uses less digits than its factorization.

1001133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1001133220 is about 31640.6893098112. The cubic root of 1001133220 is about 1000.3775974023.

Adding to 1001133220 its reverse (223311001), we get a palindrome (1224444221).

The spelling of 1001133220 in words is "one billion, one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 61 62 103 122 124 155 206 244 257 305 310 412 514 515 610 620 1028 1030 1220 1285 1891 2060 2570 3193 3782 5140 6283 6386 7564 7967 9455 12566 12772 15677 15934 15965 18910 25132 26471 31354 31415 31868 31930 37820 39835 52942 62708 62830 63860 78385 79670 105884 125660 132355 156770 159340 194773 264710 313540 389546 485987 529420 779092 820601 971974 973865 1614731 1641202 1943948 1947730 2429935 3229462 3282404 3895460 4103005 4859870 6458924 8073655 8206010 9719740 16147310 16412020 32294620 50056661 100113322 200226644 250283305 500566610 1001133220