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11230311233312 = 251752182947797
BaseRepresentation
bin1010001101101100001010…
…1101100011011100100000
31110202121101200212120000122
42203123002231203130200
52432444134133431222
635515044520335412
72236235403313043
oct243330255433440
943677350776018
1011230311233312
11363a825a10356
121314614614568
1363602443a132
142ab79b15ac5a
151471d5c34a42
hexa36c2b63720

11230311233312 has 96 divisors (see below), whose sum is σ = 23483962318320. Its totient is φ = 5268235714560.

The previous prime is 11230311233249. The next prime is 11230311233341. The reversal of 11230311233312 is 21333211303211.

It can be written as a sum of positive squares in 8 ways, for example, as 6331685168656 + 4898626064656 = 2516284^2 + 2213284^2 .

It is a super-2 number, since 2×112303112333122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234934598 + ... + 234982394.

Almost surely, 211230311233312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11230311233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11741981159160).

11230311233312 is an abundant number, since it is smaller than the sum of its proper divisors (12253651085008).

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

11230311233312 is a wasteful number, since it uses less digits than its factorization.

11230311233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49174 (or 49166 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 11230311233312 its reverse (21333211303211), we get a palindrome (32563522536523).

The spelling of 11230311233312 in words is "eleven trillion, two hundred thirty billion, three hundred eleven million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 521 544 829 1042 1658 2084 3316 4168 6632 8336 8857 13264 14093 16672 17714 26528 28186 35428 47797 56372 70856 95594 112744 141712 191188 225488 283424 382376 431909 450976 764752 812549 863818 1529504 1625098 1727636 3250196 3455272 6500392 6910544 7342453 13000784 13821088 14684906 24902237 26001568 29369812 39623713 49804474 58739624 79247426 99608948 117479248 158494852 199217896 234958496 316989704 398435792 423338029 633979408 673603121 796871584 846676058 1267958816 1347206242 1693352116 2694412484 3386704232 5388824968 6773408464 10777649936 13546816928 20643954473 21555299872 41287908946 82575817892 165151635784 330303271568 350947226041 660606543136 701894452082 1403788904164 2807577808328 5615155616656 11230311233312