Search a number
-
+
2101010304 = 27322724103
BaseRepresentation
bin111110100111010…
…1101111110000000
312102102102101022110
41331032231332000
513300324312204
6544251535320
7103031202321
oct17516557600
95372371273
102101010304
11988a69158
124a775a540
13276382983
1415d070448
15c46b6889
hex7d3adf80

2101010304 has 64 divisors (see below), whose sum is σ = 5605626240. Its totient is φ = 697222656.

The previous prime is 2101010231. The next prime is 2101010323. The reversal of 2101010304 is 4030101012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2101010304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75117 + ... + 99219.

It is an arithmetic number, because the mean of its divisors is an integer number (87587910).

Almost surely, 22101010304 is an apocalyptic number.

2101010304 is a gapful number since it is divisible by the number (24) 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 2101010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802813120).

2101010304 is an abundant number, since it is smaller than the sum of its proper divisors (3504615936).

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

2101010304 is a wasteful number, since it uses less digits than its factorization.

2101010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24347 (or 24335 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2101010304 is about 45836.7789444241. The cubic root of 2101010304 is about 1280.7844930559.

Adding to 2101010304 its reverse (4030101012), we get a palindrome (6131111316).

The spelling of 2101010304 in words is "two billion, one hundred one million, ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 384 454 681 908 1362 1816 2724 3632 5448 7264 10896 14528 21792 24103 29056 43584 48206 72309 87168 96412 144618 192824 289236 385648 578472 771296 1156944 1542592 2313888 3085184 4627776 5471381 9255552 10942762 16414143 21885524 32828286 43771048 65656572 87542096 131313144 175084192 262626288 350168384 525252576 700336768 1050505152 2101010304