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1002110424 = 233717675237
BaseRepresentation
bin111011101110101…
…111110111011000
32120211122111001220
4323232233313120
54023020013144
6243234412040
733555540510
oct7356576730
92524574056
101002110424
11474735437
1223b731020
1312c7c8963
149713a840
155ce9b919
hex3bbafdd8

1002110424 has 128 divisors (see below), whose sum is σ = 3077429760. Its totient is φ = 265402368.

The previous prime is 1002110423. The next prime is 1002110429. The reversal of 1002110424 is 4240112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002110423) 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, 188734 + ... + 193970.

It is an arithmetic number, because the mean of its divisors is an integer number (24042420).

Almost surely, 21002110424 is an apocalyptic number.

1002110424 is a gapful number since it is divisible by the number (14) 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 1002110424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538714880).

1002110424 is an abundant number, since it is smaller than the sum of its proper divisors (2075319336).

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

1002110424 is a wasteful number, since it uses less digits than its factorization.

1002110424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5333 counting only the distinct ones).

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

The square root of 1002110424 is about 31656.1277480364. The cubic root of 1002110424 is about 1000.7029803695.

Adding to 1002110424 its reverse (4240112001), we get a palindrome (5242222425).

The spelling of 1002110424 in words is "one billion, two million, one hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 67 68 84 102 119 134 136 168 201 204 238 268 357 402 408 469 476 536 714 804 938 952 1139 1407 1428 1608 1876 2278 2814 2856 3417 3752 4556 5237 5628 6834 7973 9112 10474 11256 13668 15711 15946 20948 23919 27336 31422 31892 36659 41896 47838 62844 63784 73318 89029 95676 109977 125688 146636 178058 191352 219954 267087 293272 350879 356116 439908 534174 623203 701758 712232 879816 1052637 1068348 1246406 1403516 1869609 2105274 2136696 2456153 2492812 2807032 3739218 4210548 4912306 4985624 5964943 7368459 7478436 8421096 9824612 11929886 14736918 14956872 17894829 19649224 23859772 29473836 35789658 41754601 47719544 58947672 71579316 83509202 125263803 143158632 167018404 250527606 334036808 501055212 1002110424