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1231101012320 = 25547490933349
BaseRepresentation
bin10001111010100011010…
…101101010100101100000
311100200200112202020022122
4101322203111222211200
5130132243324343240
62341320543123412
7154641554642234
oct21724325524540
94320615666278
101231101012320
1143511a476a63
1217a7192a3568
138c127ac648a
144382ac965c4
15220552ea4b5
hex11ea356a960

1231101012320 has 96 divisors (see below), whose sum is σ = 2971052784000. Its totient is φ = 481850320896.

The previous prime is 1231101012313. The next prime is 1231101012377. The reversal of 1231101012320 is 232101011321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36899006 + ... + 36932354.

It is an arithmetic number, because the mean of its divisors is an integer number (30948466500).

Almost surely, 21231101012320 is an apocalyptic number.

1231101012320 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 1231101012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485526392000).

1231101012320 is an abundant number, since it is smaller than the sum of its proper divisors (1739951771680).

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

1231101012320 is a wasteful number, since it uses less digits than its factorization.

1231101012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38320 (or 38312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1231101012320 its reverse (232101011321), we get a palindrome (1463202023641).

Subtracting from 1231101012320 its reverse (232101011321), we obtain a palindrome (999000000999).

The spelling of 1231101012320 in words is "one trillion, two hundred thirty-one billion, one hundred one million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 4909 7520 9818 19636 24545 33349 39272 49090 66698 78544 98180 133396 157088 166745 196360 230723 266792 333490 392720 461446 533584 666980 785440 922892 1067168 1153615 1333960 1567403 1845784 2307230 2667920 3134806 3691568 4614460 5335840 6269612 7383136 7837015 9228920 12539224 15674030 18457840 25078448 31348060 36915680 50156896 62696120 125392240 163710241 250784480 327420482 654840964 818551205 1309681928 1637102410 2619363856 3274204820 5238727712 6548409640 7694381327 13096819280 15388762654 26193638560 30777525308 38471906635 61555050616 76943813270 123110101232 153887626540 246220202464 307775253080 615550506160 1231101012320