Search a number
-
+
2314826010300 = 2235217453887453
BaseRepresentation
bin100001101011110110011…
…000011100111010111100
322012021222012112020101210
4201223312120130322330
5300411230424312200
64531225535004420
7326145355303266
oct41536630347274
98167865466353
102314826010300
11812791a32061
12314766669710
1313a396b60a2b
1480076a84b36
1540332083650
hex21af661cebc

2314826010300 has 72 divisors (see below), whose sum is σ = 7091537581296. Its totient is φ = 580975938560.

The previous prime is 2314826010193. The next prime is 2314826010319. The reversal of 2314826010300 is 30106284132.

It is a super-2 number, since 2×23148260103002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 226938627 + ... + 226948826.

It is an arithmetic number, because the mean of its divisors is an integer number (98493577518).

Almost surely, 22314826010300 is an apocalyptic number.

2314826010300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314826010300 is an abundant number, since it is smaller than the sum of its proper divisors (4776711570996).

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

2314826010300 is a wasteful number, since it uses less digits than its factorization.

2314826010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453887487 (or 453887480 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 2314826010300 in words is "two trillion, three hundred fourteen billion, eight hundred twenty-six million, ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 453887453 907774906 1361662359 1815549812 2269437265 2723324718 4538874530 5446649436 6808311795 7716086701 9077749060 11347186325 13616623590 15432173402 22694372650 23148260103 27233247180 30864346804 34041558975 38580433505 45388745300 46296520206 68083117950 77160867010 92593040412 115741300515 136166235900 154321734020 192902167525 231482601030 385804335050 462965202060 578706502575 771608670100 1157413005150 2314826010300