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1330131212020 = 225135897867541
BaseRepresentation
bin10011010110110001111…
…111111001011011110100
311201011022010112121122201
4103112301333321123310
5133243102042241040
62455015344034244
7165045614516512
oct23266177713364
94634263477581
101330131212020
11473118435806
12195956302984
139857a710890
14485431cb4b2
15248ee31ba9a
hex135b1ff96f4

1330131212020 has 48 divisors (see below), whose sum is σ = 3008656477008. Its totient is φ = 491041520640.

The previous prime is 1330131212017. The next prime is 1330131212023. The reversal of 1330131212020 is 202121310331.

It is an interprime number because it is at equal distance from previous prime (1330131212017) and next prime (1330131212023).

It can be written as a sum of positive squares in 8 ways, for example, as 233295076 + 1329897916944 = 15274^2 + 1153212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330131212023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099450 + ... + 1966990.

It is an arithmetic number, because the mean of its divisors is an integer number (62680343271).

Almost surely, 21330131212020 is an apocalyptic number.

1330131212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330131212020 is an abundant number, since it is smaller than the sum of its proper divisors (1678525264988).

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

1330131212020 is a wasteful number, since it uses less digits than its factorization.

1330131212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873460 (or 873458 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1330131212020 its reverse (202121310331), we get a palindrome (1532252522351).

The spelling of 1330131212020 in words is "one trillion, three hundred thirty billion, one hundred thirty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5897 11794 23588 29485 58970 76661 117940 153322 306644 383305 766610 867541 1533220 1735082 3470164 4337705 8675410 11278033 17350820 22556066 45112132 56390165 112780330 225560660 5115889277 10231778554 20463557108 25579446385 51158892770 66506560601 102317785540 133013121202 266026242404 332532803005 665065606010 1330131212020