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11322431214120 = 23325132419322909
BaseRepresentation
bin1010010011000011010101…
…1111011001001000101000
31111002102011200212110002200
42210300311133121020220
52441001314342322440
640025241511300200
72246006254242465
oct244606537311050
944072150773080
1011322431214120
1136758a82773a4
12132a44337a660
13641915524a10
142b201982666c
151497c8273c30
hexa4c357d9228

11322431214120 has 96 divisors (see below), whose sum is σ = 39628509265800. Its totient is φ = 2787059990016.

The previous prime is 11322431214113. The next prime is 11322431214139. The reversal of 11322431214120 is 2141213422311.

11322431214120 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 2 + 431 + 214 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7035618320676 + 4286812893444 = 2652474^2 + 2070462^2 .

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, 1209656775 + ... + 1209666134.

Almost surely, 211322431214120 is an apocalyptic number.

11322431214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11322431214120 is an abundant number, since it is smaller than the sum of its proper divisors (28306078051680).

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

11322431214120 is a wasteful number, since it uses less digits than its factorization.

11322431214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419322939 (or 2419322932 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11322431214120 its reverse (2141213422311), we get a palindrome (13463644636431).

The spelling of 11322431214120 in words is "eleven trillion, three hundred twenty-two billion, four hundred thirty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 2419322909 4838645818 7257968727 9677291636 12096614545 14515937454 19354583272 21773906181 24193229090 29031874908 31451197817 36289843635 43547812362 48386458180 58063749816 62902395634 72579687270 87095624724 94353593451 96772916360 108869530905 125804791268 145159374540 157255989085 174191249448 188707186902 217739061810 251609582536 283060780353 290318749080 314511978170 377414373804 435478123620 471767967255 566121560706 629023956340 754828747608 870956247240 943535934510 1132243121412 1258047912680 1415303901765 1887071869020 2264486242824 2830607803530 3774143738040 5661215607060 11322431214120