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1013122404 = 22357612441
BaseRepresentation
bin111100011000110…
…000010101100100
32121121100221200000
4330120300111210
54033324404104
6244310421300
734051253430
oct7430602544
92547327600
101013122404
1147a976948
12243361830
13131b83018
14987a59c0
155de24639
hex3c630564

1013122404 has 144 divisors (see below), whose sum is σ = 3086219136. Its totient is φ = 284601600.

The previous prime is 1013122403. The next prime is 1013122421. The reversal of 1013122404 is 4042213101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013122403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413824 + ... + 416264.

Almost surely, 21013122404 is an apocalyptic number.

1013122404 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 1013122404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543109568).

1013122404 is an abundant number, since it is smaller than the sum of its proper divisors (2073096732).

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

1013122404 is a wasteful number, since it uses less digits than its factorization.

1013122404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1013122404 is about 31829.5837861572. The cubic root of 1013122404 is about 1004.3551398882.

Adding to 1013122404 its reverse (4042213101), we get a palindrome (5055335505).

The spelling of 1013122404 in words is "one billion, thirteen million, one hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 183 189 243 244 252 324 366 378 427 486 549 567 732 756 854 972 1098 1134 1281 1647 1701 1708 2196 2268 2441 2562 3294 3402 3843 4882 4941 5124 6588 6804 7323 7686 9764 9882 11529 14646 14823 15372 17087 19764 21969 23058 29292 29646 34174 34587 43938 46116 51261 59292 65907 68348 69174 87876 102522 103761 131814 138348 148901 153783 197721 205044 207522 263628 297802 307566 395442 415044 446703 461349 593163 595604 615132 790884 893406 922698 1042307 1186326 1340109 1384047 1786812 1845396 2084614 2372652 2680218 2768094 3126921 4020327 4152141 4169228 5360436 5536188 6253842 8040654 8304282 9380763 12060981 12507684 16081308 16608564 18761526 24121962 28142289 36182943 37523052 48243924 56284578 72365886 84426867 112569156 144731772 168853734 253280601 337707468 506561202 1013122404