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11311213020 = 22353731716073
BaseRepresentation
bin10101000100011001…
…10110100111011100
31002012022001011020120
422202030312213130
5141131132304040
65110222314540
7550205503302
oct124214664734
932168034216
1011311213020
114884980838
122238128a50
1310b3550173
14794362272
154630657d0
hex2a23369dc

11311213020 has 96 divisors (see below), whose sum is σ = 32632020288. Its totient is φ = 2925361152.

The previous prime is 11311213013. The next prime is 11311213037. The reversal of 11311213020 is 2031211311.

It is a happy number.

11311213020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 695704 + ... + 711776.

It is an arithmetic number, because the mean of its divisors is an integer number (339916878).

Almost surely, 211311213020 is an apocalyptic number.

11311213020 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 11311213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316010144).

11311213020 is an abundant number, since it is smaller than the sum of its proper divisors (21320807268).

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

11311213020 is a wasteful number, since it uses less digits than its factorization.

11311213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16439 (or 16437 counting only the distinct ones).

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

Adding to 11311213020 its reverse (2031211311), we get a palindrome (13342424331).

The spelling of 11311213020 in words is "eleven billion, three hundred eleven million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 317 370 444 555 634 740 951 1110 1268 1585 1902 2220 3170 3804 4755 6340 9510 11729 16073 19020 23458 32146 35187 46916 48219 58645 64292 70374 80365 96438 117290 140748 160730 175935 192876 234580 241095 321460 351870 482190 594701 703740 964380 1189402 1784103 2378804 2973505 3568206 5095141 5947010 7136412 8920515 10190282 11894020 15285423 17841030 20380564 25475705 30570846 35682060 50951410 61141692 76427115 101902820 152854230 188520217 305708460 377040434 565560651 754080868 942601085 1131121302 1885202170 2262242604 2827803255 3770404340 5655606510 11311213020