Search a number
-
+
123022210000000 = 275712302221
BaseRepresentation
bin11011111110001101010111…
…001000000110010010000000
3121010120210211100002012201011
4123332031113020012102000
5112111043441230000000
61113351342325450304
734625030022263653
oct3376152710062200
9533523740065634
10123022210000000
11362204763a9693
121196a641270994
135384c384576bc
14225444196d89a
15e35153b5a2ba
hex6fe357206480

123022210000000 has 128 divisors (see below), whose sum is σ = 306353376866160. Its totient is φ = 49208880000000.

The previous prime is 123022209999991. The next prime is 123022210000057. The reversal of 123022210000000 is 12220321.

It can be written as a sum of positive squares in 8 ways, for example, as 102793156580416 + 20229053419584 = 10138696^2 + 4497672^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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, 3848890 + ... + 16151110.

Almost surely, 2123022210000000 is an apocalyptic number.

123022210000000 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 123022210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153176688433080).

123022210000000 is an abundant number, since it is smaller than the sum of its proper divisors (183331166866160).

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

123022210000000 is an frugal number, since it uses more digits than its factorization.

123022210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302270 (or 12302228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 123022210000000 its reverse (12220321), we get a palindrome (123022222220321).

The spelling of 123022210000000 in words is "one hundred twenty-three trillion, twenty-two billion, two hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 78125 80000 100000 125000 156250 200000 250000 312500 400000 500000 625000 1000000 1250000 2000000 2500000 5000000 10000000 12302221 24604442 49208884 61511105 98417768 123022210 196835536 246044420 307555525 393671072 492088840 615111050 787342144 984177680 1230222100 1537777625 1574684288 1968355360 2460444200 3075555250 3936710720 4920888400 6151110500 7688888125 7873421440 9841776800 12302221000 15377776250 19683553600 24604442000 30755552500 38444440625 39367107200 49208884000 61511105000 76888881250 98417768000 123022210000 153777762500 192222203125 196835536000 246044420000 307555525000 384444406250 492088840000 615111050000 768888812500 961111015625 984177680000 1230222100000 1537777625000 1922222031250 2460444200000 3075555250000 3844444062500 4920888400000 6151110500000 7688888125000 12302221000000 15377776250000 24604442000000 30755552500000 61511105000000 123022210000000