Search a number
-
+
103230210103020 = 22325711132371191119
BaseRepresentation
bin10111011110001100101000…
…000000001101011011101100
3111112111201012211111201202200
4113132030220000031123230
5102012310432241244040
61003315145343421500
730513064561035420
oct2736145000153354
9445451184451680
10103230210103020
112a98a760440640
12b6b28585b4890
13457a74aa40b00
141b6c5240c6b80
15be03c4764630
hex5de32800d6ec

103230210103020 has 864 divisors, whose sum is σ = 434164269127680. Its totient is φ = 19265237821440.

The previous prime is 103230210102977. The next prime is 103230210103073. The reversal of 103230210103020 is 20301012032301.

103230210103020 is a `hidden beast` number, since 10 + 32 + 302 + 10 + 10 + 302 + 0 = 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 = 103230210102984 and 103230210103002.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86071021 + ... + 87262139.

It is an arithmetic number, because the mean of its divisors is an integer number (502504941120).

Almost surely, 2103230210103020 is an apocalyptic number.

103230210103020 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 103230210103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217082134563840).

103230210103020 is an abundant number, since it is smaller than the sum of its proper divisors (330934059024660).

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

103230210103020 is a wasteful number, since it uses less digits than its factorization.

103230210103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191215 (or 1191197 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103230210103020 its reverse (20301012032301), we get a palindrome (123531222135321).

The spelling of 103230210103020 in words is "one hundred three trillion, two hundred thirty billion, two hundred ten million, one hundred three thousand, twenty".