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1302132200200 = 2352137313750077
BaseRepresentation
bin10010111100101101001…
…000001001001100001000
311121111000211110110000221
4102330231020021030020
5132313231320401300
62434105152035424
7163035023036446
oct22745510111410
94544024413027
101302132200200
1146225a753817
12190441532b74
1395a37a7a870
1447048817b96
1523d111ed31a
hex12f2d209308

1302132200200 has 192 divisors, whose sum is σ = 3329191449360. Its totient is φ = 470730424320.

The previous prime is 1302132200183. The next prime is 1302132200233. The reversal of 1302132200200 is 20022312031.

It can be written as a sum of positive squares in 24 ways, for example, as 7056336004 + 1295075864196 = 84002^2 + 1138014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25977562 + ... + 26027638.

Almost surely, 21302132200200 is an apocalyptic number.

1302132200200 is a gapful number since it is divisible by the number (10) 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 1302132200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664595724680).

1302132200200 is an abundant number, since it is smaller than the sum of its proper divisors (2027059249160).

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

1302132200200 is a wasteful number, since it uses less digits than its factorization.

1302132200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50316 (or 50307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1302132200200 its reverse (20022312031), we get a palindrome (1322154512231).

The spelling of 1302132200200 in words is "one trillion, three hundred two billion, one hundred thirty-two million, two hundred thousand, two hundred".