Search a number
-
+
10000020220120 = 2357379719750513
BaseRepresentation
bin1001000110000100111110…
…1001110010100011011000
31022101222210121021112121201
42101201033221302203120
52302320020134020440
633133540150243544
72051322552251140
oct221411751624330
938358717245551
1010000020220120
113205a91794767
1211560a26565b4
13576cc83b7ba8
14268009ab3920
151251cbad919a
hex9184fa728d8

10000020220120 has 256 divisors, whose sum is σ = 26817551228160. Its totient is φ = 3284699185152.

The previous prime is 10000020220111. The next prime is 10000020220189. The reversal of 10000020220120 is 2102202000001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10000020220097 and 10000020220106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197943984 + ... + 197994496.

It is an arithmetic number, because the mean of its divisors is an integer number (104756059485).

Almost surely, 210000020220120 is an apocalyptic number.

10000020220120 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 10000020220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13408775614080).

10000020220120 is an abundant number, since it is smaller than the sum of its proper divisors (16817531008040).

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

10000020220120 is a wasteful number, since it uses less digits than its factorization.

10000020220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50862 (or 50858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10000020220120 its reverse (2102202000001), we get a palindrome (12102222220121).

The spelling of 10000020220120 in words is "ten trillion, twenty million, two hundred twenty thousand, one hundred twenty".