Search a number
-
+
103222122000 = 2435317203687
BaseRepresentation
bin110000000100010000…
…1001001011000010000
3100212102201122002200120
41200020201021120100
53142344330401000
6115230344150240
710312640363124
oct1401041113020
9325381562616
10103222122000
113a85a219048
1218008a68380
1399702254ca
144dd2d67584
152a420576a0
hex1808849610

103222122000 has 80 divisors (see below), whose sum is σ = 332788140672. Its totient is φ = 27525897600.

The previous prime is 103222121957. The next prime is 103222122007. The reversal of 103222122000 is 221222301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (103222122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8595844 + ... + 8607843.

Almost surely, 2103222122000 is an apocalyptic number.

103222122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103222122000 is an abundant number, since it is smaller than the sum of its proper divisors (229566018672).

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

103222122000 is a wasteful number, since it uses less digits than its factorization.

103222122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17203713 (or 17203697 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103222122000 its reverse (221222301), we get a palindrome (103443344301).

The spelling of 103222122000 in words is "one hundred three billion, two hundred twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 17203687 34407374 51611061 68814748 86018435 103222122 137629496 172036870 206444244 258055305 275258992 344073740 412888488 430092175 516110610 688147480 825776976 860184350 1032221220 1290276525 1376294960 1720368700 2064442440 2150460875 2580553050 3440737400 4128884880 4300921750 5161106100 6451382625 6881474800 8601843500 10322212200 12902765250 17203687000 20644424400 25805530500 34407374000 51611061000 103222122000