Search a number
-
+
10203222000120 = 2335372157395597
BaseRepresentation
bin1001010001111001111101…
…1011000100000111111000
31100010102022002021111120120
42110132133123010013320
52314132144313000440
633411143453453240
72102105232010542
oct224363733040770
940112262244516
1010203222000120
113284186904636
1211895524a1220
1359020cb49b36
14273ba50c4692
1512a6211addd0
hex9479f6c41f8

10203222000120 has 192 divisors, whose sum is σ = 31659771235680. Its totient is φ = 2630453889024.

The previous prime is 10203222000061. The next prime is 10203222000133. The reversal of 10203222000120 is 2100022230201.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10203222000120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25594162 + ... + 25989758.

Almost surely, 210203222000120 is an apocalyptic number.

10203222000120 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 10203222000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829885617840).

10203222000120 is an abundant number, since it is smaller than the sum of its proper divisors (21456549235560).

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

10203222000120 is a wasteful number, since it uses less digits than its factorization.

10203222000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395842 (or 395801 counting only the distinct ones).

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

Adding to 10203222000120 its reverse (2100022230201), we get a palindrome (12303244230321).

The spelling of 10203222000120 in words is "ten trillion, two hundred three billion, two hundred twenty-two million, one hundred twenty", and thus it is an aban number.