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20232120300 = 22352773913037
BaseRepresentation
bin10010110101111011…
…011010011111101100
31221020000022012102220
4102311323122133230
5312413410322200
613143340315340
71314241120320
oct226573323754
957200265386
1020232120300
118642560487
123b07842b50
131ba57ca022
14d9d069980
157d631c4a0
hex4b5eda7ec

20232120300 has 144 divisors (see below), whose sum is σ = 66996545280. Its totient is φ = 4617872640.

The previous prime is 20232120289. The next prime is 20232120301. The reversal of 20232120300 is 302123202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20232120300.

It is not an unprimeable number, because it can be changed into a prime (20232120301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1545382 + ... + 1558418.

Almost surely, 220232120300 is an apocalyptic number.

20232120300 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 20232120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33498272640).

20232120300 is an abundant number, since it is smaller than the sum of its proper divisors (46764424980).

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

20232120300 is a wasteful number, since it uses less digits than its factorization.

20232120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13800 (or 13793 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20232120300 its reverse (302123202), we get a palindrome (20534243502).

The spelling of 20232120300 in words is "twenty billion, two hundred thirty-two million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 739 1050 1478 2100 2217 2956 3695 4434 5173 7390 8868 10346 11085 13037 14780 15519 18475 20692 22170 25865 26074 31038 36950 39111 44340 51730 52148 55425 62076 65185 73900 77595 78222 91259 103460 110850 129325 130370 155190 156444 182518 195555 221700 258650 260740 273777 310380 325925 365036 387975 391110 456295 517300 547554 651850 775950 782220 912590 977775 1095108 1303700 1368885 1551900 1825180 1955550 2281475 2737770 3911100 4562950 5475540 6844425 9125900 9634343 13688850 19268686 27377700 28903029 38537372 48171715 57806058 67440401 96343430 115612116 134880802 144515145 192686860 202321203 240858575 269761604 289030290 337202005 404642406 481717150 578060580 674404010 722575725 809284812 963434300 1011606015 1348808020 1445151450 1686010025 2023212030 2890302900 3372020050 4046424060 5058030075 6744040100 10116060150 20232120300