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1320202143104 = 27132715934937
BaseRepresentation
bin10011001101100010001…
…011100000010110000000
311200012200011020122200112
4103031202023200112000
5133112233222034404
62450254213410452
7164244561026645
oct23154213402600
94605604218615
101320202143104
11469992768329
12193a45039a28
1397657629980
1447c8064ddcc
152451c7c056e
hex133622e0580

1320202143104 has 128 divisors (see below), whose sum is σ = 2848227338880. Its totient is φ = 605929144320.

The previous prime is 1320202143089. The next prime is 1320202143109. The reversal of 1320202143104 is 4013412020231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1320202143104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320202143109) 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, 267407324 + ... + 267412260.

It is an arithmetic number, because the mean of its divisors is an integer number (22251776085).

Almost surely, 21320202143104 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 1320202143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424113669440).

1320202143104 is an abundant number, since it is smaller than the sum of its proper divisors (1528025195776).

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

1320202143104 is a wasteful number, since it uses less digits than its factorization.

1320202143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5816 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1320202143104 its reverse (4013412020231), we get a palindrome (5333614163335).

The spelling of 1320202143104 in words is "one trillion, three hundred twenty billion, two hundred two million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 271 416 542 593 832 1084 1186 1664 2168 2372 3523 4336 4744 4937 7046 7709 8672 9488 9874 14092 15418 17344 18976 19748 28184 30836 34688 37952 39496 56368 61672 64181 75904 78992 112736 123344 128362 157984 160703 225472 246688 256724 315968 321406 450944 493376 513448 631936 642812 986752 1026896 1285624 1337927 2053792 2089139 2571248 2675854 2927641 4107584 4178278 5142496 5351708 5855282 8215168 8356556 10284992 10703416 11710564 16713112 17393051 20569984 21406832 23421128 33426224 34786102 38059333 42813664 46842256 66852448 69572204 76118666 85627328 93684512 133704896 139144408 152237332 171254656 187369024 267409792 278288816 304474664 374738048 556577632 608949328 793390711 1113155264 1217898656 1586781422 2226310528 2435797312 3173562844 4871594624 6347125688 10314079243 12694251376 20628158486 25388502752 41256316972 50777005504 82512633944 101554011008 165025267888 330050535776 660101071552 1320202143104