Search a number
-
+
12301101103000 = 2353311790922157
BaseRepresentation
bin1011001100000001001011…
…0000101111011110011000
31121112222021212220221220011
42303000102300233132120
53103020123340244000
642055014155411304
72406503516113603
oct263002260573630
947488255827804
1012301101103000
113a1295a97a086
121468051a53b34
136b2cb1697218
1430753b06933a
15164ea70d22ba
hexb3012c2f798

12301101103000 has 128 divisors (see below), whose sum is σ = 29716111526400. Its totient is φ = 4761235776000.

The previous prime is 12301101102973. The next prime is 12301101103003. The reversal of 12301101103000 is 30110110321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301101103003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555167922 + ... + 555190078.

It is an arithmetic number, because the mean of its divisors is an integer number (232157121300).

Almost surely, 212301101103000 is an apocalyptic number.

12301101103000 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 12301101103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14858055763200).

12301101103000 is an abundant number, since it is smaller than the sum of its proper divisors (17415010423400).

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

12301101103000 is a wasteful number, since it uses less digits than its factorization.

12301101103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40118 (or 40104 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 12301101103000 its reverse (30110110321), we get a palindrome (12331211213321).

The spelling of 12301101103000 in words is "twelve trillion, three hundred one billion, one hundred one million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 17909 22157 31000 35818 44314 71636 88628 89545 110785 143272 177256 179090 221570 358180 443140 447725 553925 555179 686867 716360 886280 895450 1107850 1110358 1373734 1790900 2215700 2220716 2238625 2747468 2769625 2775895 3434335 3581800 4431400 4441432 4477250 5494936 5539250 5551790 6868670 8954500 11078500 11103580 13737340 13879475 17171675 17909000 22157000 22207160 27474680 27758950 34343350 55517900 68686700 69397375 85858375 111035800 137373400 138794750 171716750 277589500 343433500 396809713 555179000 686867000 793619426 1587238852 1984048565 3174477704 3968097130 7936194260 9920242825 12301101103 15872388520 19840485650 24602202206 39680971300 49204404412 49601214125 61505505515 79361942600 98408808824 99202428250 123011011030 198404856500 246022022060 307527527575 396809713000 492044044120 615055055150 1230110110300 1537637637875 2460220220600 3075275275750 6150550551500 12301101103000