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2300213202320 = 2451117796319309
BaseRepresentation
bin100001011110001111011…
…001000000110110010000
322010220020210221200022102
4201132033121000312100
5300141314034433240
64520411531455532
7325120266422465
oct41361731006620
98126223850272
102300213202320
11807573428150
123119688b75a8
13138ba85c05a7
147d48c04d66c
153ec79252815
hex2178f640d90

2300213202320 has 160 divisors (see below), whose sum is σ = 6178459731840. Its totient is φ = 787099115520.

The previous prime is 2300213202263. The next prime is 2300213202323. The reversal of 2300213202320 is 232023120032.

It is a super-2 number, since 2×23002132023202 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2300213202292 and 2300213202301.

It is not an unprimeable number, because it can be changed into a prime (2300213202323) 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, 119116826 + ... + 119136134.

It is an arithmetic number, because the mean of its divisors is an integer number (38615373324).

Almost surely, 22300213202320 is an apocalyptic number.

2300213202320 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 2300213202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089229865920).

2300213202320 is an abundant number, since it is smaller than the sum of its proper divisors (3878246529520).

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

2300213202320 is a wasteful number, since it uses less digits than its factorization.

2300213202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27313 (or 27307 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2300213202320 its reverse (232023120032), we get a palindrome (2532236322352).

The spelling of 2300213202320 in words is "two trillion, three hundred billion, two hundred thirteen million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 7963 14960 15926 19309 31852 38618 39815 63704 77236 79630 87593 96545 127408 135371 154472 159260 175186 193090 212399 270742 308944 318520 328253 350372 386180 424798 437965 541484 637040 656506 676855 700744 772360 849596 875930 1061995 1082968 1313012 1353710 1401488 1489081 1544720 1641265 1699192 1751860 2123990 2165936 2626024 2707420 2978162 3282530 3398384 3503720 3610783 4247980 5252048 5414840 5956324 6565060 7007440 7221566 7445405 8495960 10829680 11912648 13130120 14443132 14890810 16991920 18053915 23825296 26260240 28886264 29781620 36107830 57772528 59563240 72215660 119126480 144431320 153757567 288862640 307515134 615030268 768787835 1230060536 1537575670 1691333237 2460121072 2613878639 3075151340 3382666474 5227757278 6150302680 6765332948 8456666185 10455514556 12300605360 13069393195 13530665896 16913332370 20911029112 26138786390 27061331792 28752665029 33826664740 41822058224 52277572780 57505330058 67653329480 104555145560 115010660116 135306658960 143763325145 209110291120 230021320232 287526650290 460042640464 575053300580 1150106601160 2300213202320