Search a number
-
+
11202021312120 = 2332537840992591
BaseRepresentation
bin1010001100000010110010…
…0000000100011001111000
31110122220101010101122202200
42203000230200010121320
52432013214423441440
635454045413230200
72234214350044512
oct243005440043170
943586333348680
1011202021312120
113629828aa38a1
12130b03a332360
1363346643ccb2
142aa275c9cbb2
151465cc300c30
hexa302c804678

11202021312120 has 96 divisors (see below), whose sum is σ = 37390530640320. Its totient is φ = 2906470391040.

The previous prime is 11202021312109. The next prime is 11202021312149. The reversal of 11202021312120 is 2121312020211.

11202021312120 is a `hidden beast` number, since 1 + 120 + 202 + 131 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11202021312093 and 11202021312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420482976 + ... + 420509615.

It is an arithmetic number, because the mean of its divisors is an integer number (389484694170).

Almost surely, 211202021312120 is an apocalyptic number.

11202021312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202021312120 is an abundant number, since it is smaller than the sum of its proper divisors (26188509328200).

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

11202021312120 is a wasteful number, since it uses less digits than its factorization.

11202021312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840992645 (or 840992638 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11202021312120 its reverse (2121312020211), we get a palindrome (13323333332331).

The spelling of 11202021312120 in words is "eleven trillion, two hundred two billion, twenty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 840992591 1681985182 2522977773 3363970364 4204962955 5045955546 6727940728 7568933319 8409925910 10091911092 12614888865 15137866638 16819851820 20183822184 25229777730 30275733276 31116725867 33639703640 37844666595 50459555460 60551466552 62233451734 75689333190 93350177601 100919110920 124466903468 151378666380 155583629335 186700355202 248933806936 280050532803 302757332760 311167258670 373400710404 466750888005 560101065606 622334517340 746801420808 933501776010 1120202131212 1244669034680 1400252664015 1867003552020 2240404262424 2800505328030 3734007104040 5601010656060 11202021312120