Search a number
-
+
10245603140220 = 22357172739114221
BaseRepresentation
bin1001010100010111110110…
…0010010010001001111100
31100021110200200212111020010
42111011331202102021330
52320330443400441340
633442433132423220
72105135411525010
oct225057542221174
940243620774203
1010245603140220
1132a0154963458
1211957bb917b10
13594205313826
14275c65a02540
1512b7a1c43b80
hex9517d89227c

10245603140220 has 288 divisors, whose sum is σ = 34875394122240. Its totient is φ = 2201094328320.

The previous prime is 10245603140219. The next prime is 10245603140233. The reversal of 10245603140220 is 2204130654201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89642710 + ... + 89756930.

It is an arithmetic number, because the mean of its divisors is an integer number (121095118480).

Almost surely, 210245603140220 is an apocalyptic number.

10245603140220 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 10245603140220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17437697061120).

10245603140220 is an abundant number, since it is smaller than the sum of its proper divisors (24629790982020).

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

10245603140220 is a wasteful number, since it uses less digits than its factorization.

10245603140220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115013 (or 114994 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10245603140220 its reverse (2204130654201), we get a palindrome (12449733794421).

The spelling of 10245603140220 in words is "ten trillion, two hundred forty-five billion, six hundred three million, one hundred forty thousand, two hundred twenty".