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11231331312120 = 23351011405165951
BaseRepresentation
bin1010001101101111111110…
…0000110110000111111000
31110202201000210022221002020
42203123333200312013320
52433003231303441440
635515334040234440
72236302600661533
oct243337740660770
943681023287066
1011231331312120
1136401a97a8697
12131485a16ba20
1363615788756a
142ab856813a1a
151472455803d0
hexa36ff8361f8

11231331312120 has 128 divisors (see below), whose sum is σ = 34030535546880. Its totient is φ = 2965112000000.

The previous prime is 11231331312059. The next prime is 11231331312163. The reversal of 11231331312120 is 2121313313211.

It is a super-2 number, since 2×112313313121202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170265145 + ... + 170331095.

It is an arithmetic number, because the mean of its divisors is an integer number (265863558960).

Almost surely, 211231331312120 is an apocalyptic number.

11231331312120 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 11231331312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015267773440).

11231331312120 is an abundant number, since it is smaller than the sum of its proper divisors (22799204234760).

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

11231331312120 is a wasteful number, since it uses less digits than its factorization.

11231331312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80117 (or 80113 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11231331312120 its reverse (2121313313211), we get a palindrome (13352644625331).

The spelling of 11231331312120 in words is "eleven trillion, two hundred thirty-one billion, three hundred thirty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 14051 28102 42153 56204 65951 70255 84306 112408 131902 140510 168612 197853 210765 263804 281020 329755 337224 395706 421530 527608 562040 659510 791412 843060 989265 1319020 1419151 1582824 1686120 1978530 2638040 2838302 3957060 4257453 5676604 6661051 7095755 7914120 8514906 11353208 13322102 14191510 17029812 19983153 21287265 26644204 28383020 33305255 34059624 39966306 42574530 53288408 56766040 66610510 79932612 85149060 99915765 133221020 159865224 170298120 199831530 266442040 399663060 799326120 926677501 1853355002 2780032503 3706710004 4633387505 5560065006 7413420008 9266775010 11120130012 13900162515 18533550020 22240260024 27800325030 37067100040 55600650060 93594427601 111201300120 187188855202 280783282803 374377710404 467972138005 561566565606 748755420808 935944276010 1123133131212 1403916414015 1871888552020 2246266262424 2807832828030 3743777104040 5615665656060 11231331312120