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230320100213000 = 23537171935463027
BaseRepresentation
bin110100010111100110010011…
…110000100000000100001000
31010012111101102210100110102222
4310113212103300200010020
5220142031031123304000
62133503332055113212
766341035535643440
oct6427462360400410
91105441383313388
10230320100213000
116742922a157186
12219b96b3672808
139b691278c1095
1440c37a3843120
151b9624ae8aa85
hexd17993c20108

230320100213000 has 128 divisors (see below), whose sum is σ = 652173621914880. Its totient is φ = 74321780198400.

The previous prime is 230320100212991. The next prime is 230320100213003. The reversal of 230320100213000 is 312001023032.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 230320100213000.

It is not an unprimeable number, because it can be changed into a prime (230320100213003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967612514 + ... + 967850513.

It is an arithmetic number, because the mean of its divisors is an integer number (5095106421210).

Almost surely, 2230320100213000 is an apocalyptic number.

230320100213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230320100213000 is an abundant number, since it is smaller than the sum of its proper divisors (421853521701880).

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

230320100213000 is a wasteful number, since it uses less digits than its factorization.

230320100213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935463072 (or 1935463058 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 230320100213000 its reverse (312001023032), we get a palindrome (230632101236032).

The spelling of 230320100213000 in words is "two hundred thirty trillion, three hundred twenty billion, one hundred million, two hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 59500 119000 1935463027 3870926054 7741852108 9677315135 13548241189 15483704216 19354630270 27096482378 32902871459 38709260540 48386575675 54192964756 65805742918 67741205945 77418521080 96773151350 108385929512 131611485836 135482411890 164514357295 193546302700 230320100213 241932878375 263222971672 270964823780 329028714590 338706029725 387092605400 460640200426 483865756750 541929647560 658057429180 677412059450 822571786475 921280400852 967731513500 1151600501065 1316114858360 1354824118900 1645143572950 1693530148625 1842560801704 1935463027000 2303201002130 2709648237800 3290287145900 3387060297250 4112858932375 4606402004260 5758002505325 6580574291800 6774120594500 8225717864750 9212804008520 11516005010650 13548241189000 16451435729500 23032010021300 28790012526625 32902871459000 46064020042600 57580025053250 115160050106500 230320100213000