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1162022130040 = 2353143310392083
BaseRepresentation
bin10000111010001101111…
…010101001000101111000
311010002101022122102102011
4100322031322221011320
5123014310131130130
62245454155015304
7146644664064052
oct20721572510570
94102338572364
101162022130040
114088a1220302
1216925aa3a534
138576945a5c5
14403567368d2
15203609d852a
hex10e8dea9178

1162022130040 has 128 divisors (see below), whose sum is σ = 2709026611200. Its totient is φ = 448129013760.

The previous prime is 1162022130023. The next prime is 1162022130043. The reversal of 1162022130040 is 400312202611.

It is a junction number, because it is equal to n+sod(n) for n = 1162022129993 and 1162022130020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1162022130043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557858839 + ... + 557860921.

It is an arithmetic number, because the mean of its divisors is an integer number (21164270400).

Almost surely, 21162022130040 is an apocalyptic number.

1162022130040 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 1162022130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354513305600).

1162022130040 is an abundant number, since it is smaller than the sum of its proper divisors (1547004481160).

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

1162022130040 is a wasteful number, since it uses less digits than its factorization.

1162022130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1162022130040 its reverse (400312202611), we get a palindrome (1562334332651).

The spelling of 1162022130040 in words is "one trillion, one hundred sixty-two billion, twenty-two million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 433 620 866 1039 1240 1732 2078 2083 2165 3464 4156 4166 4330 5195 8312 8332 8660 10390 10415 13423 16664 17320 20780 20830 26846 32209 41560 41660 53692 64418 64573 67115 83320 107384 128836 129146 134230 161045 257672 258292 268460 322090 322865 449887 516584 536920 644180 645730 899774 901939 1288360 1291460 1799548 1803878 2164237 2249435 2582920 3599096 3607756 4328474 4498870 4509695 7215512 8656948 8997740 9019390 10821185 13946497 17313896 17995480 18038780 21642370 27892994 27960109 36077560 43284740 55785988 55920218 67091347 69732485 86569480 111571976 111840436 134182694 139464970 139800545 223680872 268365388 278929940 279601090 335456735 536730776 557859880 559202180 670913470 937114621 1118404360 1341826940 1874229242 2683653880 3748458484 4685573105 7496916968 9371146210 18742292420 29050553251 37484584840 58101106502 116202213004 145252766255 232404426008 290505532510 581011065020 1162022130040