Search a number
-
+
10020001220020 = 2251166616837631
BaseRepresentation
bin1001000111001111011010…
…0111010000010110110100
31022110220101010001111122001
42101303312213100112310
52303131430303020040
633151043000345044
72052630654042151
oct221636647202664
938426333044561
1010020001220020
113213505516720
121159b3a175184
13578b60b6c55c
14268d83651228
1512599ad5059a
hex91cf69d05b4

10020001220020 has 48 divisors (see below), whose sum is σ = 22958361409536. Its totient is φ = 3643089264000.

The previous prime is 10020001219957. The next prime is 10020001220059. The reversal of 10020001220020 is 2002210002001.

10020001220020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10020001219979 and 10020001220006.

It is a congruent number.

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, 1953396 + ... + 4884235.

It is an arithmetic number, because the mean of its divisors is an integer number (478299196032).

Almost surely, 210020001220020 is an apocalyptic number.

10020001220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020001220020 is an abundant number, since it is smaller than the sum of its proper divisors (12938360189516).

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

10020001220020 is a wasteful number, since it uses less digits than its factorization.

10020001220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844312 (or 6844310 counting only the distinct ones).

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

Adding to 10020001220020 its reverse (2002210002001), we get a palindrome (12022211222021).

The spelling of 10020001220020 in words is "ten trillion, twenty billion, one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 6661 13322 26644 33305 66610 73271 133220 146542 293084 366355 732710 1465420 6837631 13675262 27350524 34188155 68376310 75213941 136752620 150427882 300855764 376069705 752139410 1504278820 45545460091 91090920182 182181840364 227727300455 455454600910 501000061001 910909201820 1002000122002 2004000244004 2505000305005 5010000610010 10020001220020