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2023305322300 = 2252416727127179
BaseRepresentation
bin11101011100010110011…
…001010001111100111100
321011102111121220220000021
4131130112121101330330
5231122212130303200
64145254342541524
7266115251322103
oct35342631217474
97142447826007
102023305322300
1171009611a429
12288168a378a4
13118a48965a02
146dcddb3903a
153796deed41a
hex1d716651f3c

2023305322300 has 144 divisors (see below), whose sum is σ = 4581801745920. Its totient is φ = 774899136000.

The previous prime is 2023305322289. The next prime is 2023305322303. The reversal of 2023305322300 is 32235033202.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023305322303) 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 47 ways as a sum of consecutive naturals, for example, 74430111 + ... + 74457289.

It is an arithmetic number, because the mean of its divisors is an integer number (31818067680).

Almost surely, 22023305322300 is an apocalyptic number.

2023305322300 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 2023305322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290900872960).

2023305322300 is an abundant number, since it is smaller than the sum of its proper divisors (2558496423620).

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

2023305322300 is a wasteful number, since it uses less digits than its factorization.

2023305322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27572 (or 27565 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The spelling of 2023305322300 in words is "two trillion, twenty-three billion, three hundred five million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 67 82 100 134 164 205 268 271 335 410 542 670 820 1025 1084 1340 1355 1675 2050 2710 2747 3350 4100 5420 5494 6700 6775 10988 11111 13550 13735 18157 22222 27100 27179 27470 36314 44444 54358 54940 55555 68675 72628 90785 108716 111110 135895 137350 181570 222220 271790 274700 277775 363140 453925 543580 555550 679475 744437 907850 1111100 1114339 1358950 1488874 1815700 1820993 2228678 2717900 2977748 3641986 3722185 4457356 5571695 7283972 7365509 7444370 9104965 11143390 14731018 14888740 18209930 18610925 22286780 27858475 29462036 36419860 36827545 37221850 45524825 55716950 73655090 74443700 74660713 91049650 111433900 147310180 149321426 182099300 184137725 298642852 301985869 368275450 373303565 493489103 603971738 736550900 746607130 986978206 1207943476 1493214260 1509929345 1866517825 1973956412 2467445515 3019858690 3733035650 4934891030 6039717380 7466071300 7549646725 9869782060 12337227575 15099293450 20233053223 24674455150 30198586900 40466106446 49348910300 80932212892 101165266115 202330532230 404661064460 505826330575 1011652661150 2023305322300