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1300102002 = 235231071087
BaseRepresentation
bin100110101111101…
…1111101101110010
310100121101000200000
41031133133231302
510130311231002
6333001410430
744134453563
oct11537375562
93317330600
101300102002
11607967971
12303499a16
13179472534
14c494a16a
157921061c
hex4d7dfb72

1300102002 has 96 divisors (see below), whose sum is σ = 3079544832. Its totient is φ = 410273424.

The previous prime is 1300101983. The next prime is 1300102003. The reversal of 1300102002 is 2002010031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1300102003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195503 + ... + 1196589.

It is an arithmetic number, because the mean of its divisors is an integer number (32078592).

Almost surely, 21300102002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300102002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539772416).

1300102002 is an abundant number, since it is smaller than the sum of its proper divisors (1779442830).

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

1300102002 is a wasteful number, since it uses less digits than its factorization.

1300102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300102002 is about 36056.9272401296. The cubic root of 1300102002 is about 1091.4214269958.

Adding to 1300102002 its reverse (2002010031), we get a palindrome (3302112033).

The spelling of 1300102002 in words is "one billion, three hundred million, one hundred two thousand, two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 107 138 162 207 214 243 321 414 486 621 642 963 1087 1242 1863 1926 2174 2461 2889 3261 3726 4922 5589 5778 6522 7383 8667 9783 11178 14766 17334 19566 22149 25001 26001 29349 44298 50002 52002 58698 66447 75003 88047 116309 132894 150006 176094 199341 225009 232618 264141 348927 398682 450018 528282 598023 675027 697854 1046781 1196046 1350054 2025081 2093562 2675107 3140343 4050162 5350214 6075243 6280686 8025321 9421029 12150486 16050642 18842058 24075963 28263087 48151926 56526174 72227889 144455778 216683667 433367334 650051001 1300102002