Search a number
-
+
2302032302300 = 2252173883150697
BaseRepresentation
bin100001011111111011110…
…100010101000011011100
322011001221120220112100202
4201133323310111003130
5300204030232133200
64521312233243032
7325213335500123
oct41377364250334
98131846815322
102302032302300
11808317247965
12312195b63478
1313910843a203
147d5c1898aba
153ed33cd01d5
hex217fbd150dc

2302032302300 has 72 divisors (see below), whose sum is σ = 5030008694256. Its totient is φ = 914447439360.

The previous prime is 2302032302299. The next prime is 2302032302303. The reversal of 2302032302300 is 32032302032.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302032302303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15200552 + ... + 15351248.

Almost surely, 22302032302300 is an apocalyptic number.

2302032302300 is a gapful number since it is divisible by the number (20) 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 2302032302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515004347128).

2302032302300 is an abundant number, since it is smaller than the sum of its proper divisors (2727976391956).

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

2302032302300 is a wasteful number, since it uses less digits than its factorization.

2302032302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151767 (or 151760 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 2302032302300 its reverse (32032302032), we get a palindrome (2334064604332).

The spelling of 2302032302300 in words is "two trillion, three hundred two billion, thirty-two million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 883 1730 1766 3460 3532 4325 4415 8650 8830 17300 17660 22075 44150 88300 150697 152759 301394 305518 602788 611036 753485 763795 1506970 1527590 3013940 3055180 3767425 3818975 7534850 7637950 15069700 15275900 26070581 52141162 104282324 130352905 133065451 260705810 266130902 521411620 532261804 651764525 665327255 1303529050 1330654510 2607058100 2661309020 3326636275 6653272550 13306545100 23020323023 46040646046 92081292092 115101615115 230203230230 460406460460 575508075575 1151016151150 2302032302300