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1301004012 = 22371110713159
BaseRepresentation
bin100110110001011…
…1011111011101100
310100200001211222210
41031202323323230
510131024112022
6333033010420
744145231420
oct11542737354
93320054883
101301004012
11608423630
12303853a10
131796c9c79
14c4b02b80
157933ca0c
hex4d8bbeec

1301004012 has 96 divisors (see below), whose sum is σ = 3820400640. Its totient is φ = 334739520.

The previous prime is 1301004007. The next prime is 1301004013. The reversal of 1301004012 is 2104001031.

It is a happy number.

It is a super-2 number, since 2×13010040122 = 3385222878480192288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1301004013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 92289 + ... + 105447.

It is an arithmetic number, because the mean of its divisors is an integer number (39795840).

Almost surely, 21301004012 is an apocalyptic number.

1301004012 is a gapful number since it is divisible by the number (12) 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 1301004012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910200320).

1301004012 is an abundant number, since it is smaller than the sum of its proper divisors (2519396628).

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

1301004012 is a wasteful number, since it uses less digits than its factorization.

1301004012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13291 (or 13289 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1301004012 is about 36069.4332087434. The cubic root of 1301004012 is about 1091.6737778247.

Adding to 1301004012 its reverse (2104001031), we get a palindrome (3405005043).

The spelling of 1301004012 in words is "one billion, three hundred one million, four thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 132 154 214 231 308 321 428 462 642 749 924 1177 1284 1498 2247 2354 2996 3531 4494 4708 7062 8239 8988 13159 14124 16478 24717 26318 32956 39477 49434 52636 78954 92113 98868 144749 157908 184226 276339 289498 368452 434247 552678 578996 868494 1013243 1105356 1408013 1736988 2026486 2816026 3039729 4052972 4224039 5632052 6079458 8448078 9856091 12158916 15488143 16896156 19712182 29568273 30976286 39424364 46464429 59136546 61952572 92928858 108417001 118273092 185857716 216834002 325251003 433668004 650502006 1301004012