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1311010132020 = 2235173141461421
BaseRepresentation
bin10011000100111110010…
…010110001000000110100
311122022221112212002222120
4103010332102301000310
5132434422043211040
62442134132555540
7163501024153551
oct23047622610064
94568845762876
101311010132020
11465aa6050356
121920ba782bb0
139682115b764
144764b935a28
15241808167d0
hex1313e4b1034

1311010132020 has 96 divisors (see below), whose sum is σ = 4012138884096. Its totient is φ = 318423705600.

The previous prime is 1311010131967. The next prime is 1311010132043. The reversal of 1311010132020 is 202310101131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20699091 + ... + 20762330.

It is an arithmetic number, because the mean of its divisors is an integer number (41793113376).

Almost surely, 21311010132020 is an apocalyptic number.

1311010132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311010132020 is an abundant number, since it is smaller than the sum of its proper divisors (2701128752076).

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

1311010132020 is a wasteful number, since it uses less digits than its factorization.

1311010132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41461481 (or 41461479 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1311010132020 its reverse (202310101131), we get a palindrome (1513320233151).

The spelling of 1311010132020 in words is "one trillion, three hundred eleven billion, ten million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2635 3162 5270 6324 7905 10540 15810 31620 41461421 82922842 124384263 165845684 207307105 248768526 414614210 497537052 621921315 704844157 829228420 1243842630 1285304051 1409688314 2114532471 2487685260 2570608102 2819376628 3524220785 3855912153 4229064942 5141216204 6426520255 7048441570 7711824306 8458129884 10572662355 12853040510 14096883140 15423648612 19279560765 21145324710 21850168867 25706081020 38559121530 42290649420 43700337734 65550506601 77118243060 87400675468 109250844335 131101013202 218501688670 262202026404 327752533005 437003377340 655505066010 1311010132020