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103002332220 = 2232519210091571
BaseRepresentation
bin101111111101101101…
…0101101110000111100
3100211212102001121210100
41133323122231300330
53141422044112340
6115152453241100
710304331243444
oct1377332556074
9324772047710
10103002332220
113a7571497a7
1217b67333190
13993682c698
144db1ab3124
152a2cade830
hex17fb6adc3c

103002332220 has 216 divisors, whose sum is σ = 330287040720. Its totient is φ = 25979304960.

The previous prime is 103002332179. The next prime is 103002332227. The reversal of 103002332220 is 22233200301.

It is a happy number.

103002332220 is a `hidden beast` number, since 1 + 0 + 300 + 23 + 322 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103002332193 and 103002332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103002332227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65564035 + ... + 65565605.

It is an arithmetic number, because the mean of its divisors is an integer number (1529106670).

Almost surely, 2103002332220 is an apocalyptic number.

103002332220 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 103002332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165143520360).

103002332220 is an abundant number, since it is smaller than the sum of its proper divisors (227284708500).

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

103002332220 is a wasteful number, since it uses less digits than its factorization.

103002332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 103002332220 its reverse (22233200301), we get a palindrome (125235532521).

The spelling of 103002332220 in words is "one hundred three billion, two million, three hundred thirty-two thousand, two hundred twenty".