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412302401300 = 225273174132441
BaseRepresentation
bin1011111111111110010…
…00110101111100010100
31110102020001201002221102
411333333020311330110
523223343403320200
6513224211205232
741534144405126
oct5777710657424
91412201632842
10412302401300
11149946a585a9
1267aa72a6818
132cb5933193a
1415d5401b216
15aad199e6d5
hex5fff235f14

412302401300 has 72 divisors (see below), whose sum is σ = 907501233912. Its totient is φ = 162563328000.

The previous prime is 412302401297. The next prime is 412302401347. The reversal of 412302401300 is 3104203214.

It can be written as a sum of positive squares in 12 ways, for example, as 129529449604 + 282772951696 = 359902^2 + 531764^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12693080 + ... + 12725520.

Almost surely, 2412302401300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412302401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453750616956).

412302401300 is an abundant number, since it is smaller than the sum of its proper divisors (495198832612).

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

412302401300 is a wasteful number, since it uses less digits than its factorization.

412302401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34269 (or 34262 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 412302401300 its reverse (3104203214), we get a palindrome (415406604514).

The spelling of 412302401300 in words is "four hundred twelve billion, three hundred two million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1741 1825 3482 3650 6964 7300 8705 17410 32441 34820 43525 64882 87050 127093 129764 162205 174100 254186 324410 508372 635465 648820 811025 1270930 1622050 2368193 2541860 3177325 3244100 4736386 6354650 9472772 11840965 12709300 23681930 47363860 56479781 59204825 112959562 118409650 225919124 236819300 282398905 564797810 1129595620 1411994525 2823989050 4123024013 5647978100 8246048026 16492096052 20615120065 41230240130 82460480260 103075600325 206151200650 412302401300