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1332131021300 = 22521131093107857
BaseRepresentation
bin10011011000101001001…
…100100100000111110100
311201100110111112110021002
4103120221030210013310
5133311201020140200
62455550022542432
7165146306565332
oct23305114440764
94640414473232
101332131021300
11473a54262052
12196213b97a18
1398808b1c191
1448692a36b52
15249b9b92bd5
hex136293241f4

1332131021300 has 72 divisors (see below), whose sum is σ = 2919001177176. Its totient is φ = 527648808960.

The previous prime is 1332131021261. The next prime is 1332131021317. The reversal of 1332131021300 is 31201312331.

It can be written as a sum of positive squares in 12 ways, for example, as 463428731536 + 868702289764 = 680756^2 + 932042^2 .

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, 12296972 + ... + 12404828.

Almost surely, 21332131021300 is an apocalyptic number.

1332131021300 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 1332131021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459500588588).

1332131021300 is an abundant number, since it is smaller than the sum of its proper divisors (1586870155876).

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

1332131021300 is a wasteful number, since it uses less digits than its factorization.

1332131021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109077 (or 109070 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1332131021300 its reverse (31201312331), we get a palindrome (1363332333631).

The spelling of 1332131021300 in words is "one trillion, three hundred thirty-two billion, one hundred thirty-one million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1093 1130 2186 2260 2825 4372 5465 5650 10930 11300 21860 27325 54650 107857 109300 123509 215714 247018 431428 494036 539285 617545 1078570 1235090 2157140 2470180 2696425 3087725 5392850 6175450 10785700 12187841 12350900 24375682 48751364 60939205 117887701 121878410 235775402 243756820 304696025 471550804 589438505 609392050 1178877010 1218784100 2357754020 2947192525 5894385050 11788770100 13321310213 26642620426 53285240852 66606551065 133213102130 266426204260 333032755325 666065510650 1332131021300