Search a number
-
+
1030103220020 = 2257172414094391
BaseRepresentation
bin11101111110101101110…
…11111011111100110100
310122110212122221110002212
432333112323323330310
5113334122411020040
62105120050552552
7134264626620620
oct16772673737464
93573778843085
101030103220020
1136795645a726
12147783598758
13761a4b60c74
1437c00480180
151bbde47dd65
hexefd6efbf34

1030103220020 has 192 divisors, whose sum is σ = 2635562603520. Its totient is φ = 330139238400.

The previous prime is 1030103220001. The next prime is 1030103220043. The reversal of 1030103220020 is 200223010301.

It is a happy number.

It is a super-2 number, since 2×10301032200202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1030103219977 and 1030103220004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234592025 + ... + 234596415.

It is an arithmetic number, because the mean of its divisors is an integer number (13726888560).

Almost surely, 21030103220020 is an apocalyptic number.

1030103220020 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 1030103220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317781301760).

1030103220020 is an abundant number, since it is smaller than the sum of its proper divisors (1605459383500).

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

1030103220020 is a wasteful number, since it uses less digits than its factorization.

1030103220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1030103220020 its reverse (200223010301), we get a palindrome (1230326230321).

The spelling of 1030103220020 in words is "one trillion, thirty billion, one hundred three million, two hundred twenty thousand, twenty".