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202320130200 = 233522314660879
BaseRepresentation
bin1011110001101100111…
…0000011000010011000
3201100020001000111210120
42330123032003002120
511303322423131300
6232540010313240
720421452505666
oct2743316030230
9640201014716
10202320130200
1178892491381
1233264728820
1316103bc1a96
149b142adc36
1553e1ec03a0
hex2f1b383098

202320130200 has 96 divisors (see below), whose sum is σ = 654461683200. Its totient is φ = 51606290560.

The previous prime is 202320130183. The next prime is 202320130213. The reversal of 202320130200 is 2031023202.

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 202320130200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7316640 + ... + 7344239.

It is an arithmetic number, because the mean of its divisors is an integer number (6817309200).

Almost surely, 2202320130200 is an apocalyptic number.

202320130200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202320130200 is an abundant number, since it is smaller than the sum of its proper divisors (452141553000).

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

202320130200 is a wasteful number, since it uses less digits than its factorization.

202320130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660921 (or 14660912 counting only the distinct ones).

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

Adding to 202320130200 its reverse (2031023202), we get a palindrome (204351153402).

It can be divided in two parts, 202320 and 130200, that added together give a triangular number (332520 = T815).

The spelling of 202320130200 in words is "two hundred two billion, three hundred twenty million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 14660879 29321758 43982637 58643516 73304395 87965274 117287032 146608790 175930548 219913185 293217580 337200217 351861096 366521975 439826370 586435160 674400434 733043950 879652740 1011600651 1099565925 1348800868 1466087900 1686001085 1759305480 2023201302 2199131850 2697601736 2932175800 3372002170 4046402604 4398263700 5058003255 6744004340 8092805208 8430005425 8796527400 10116006510 13488008680 16860010850 20232013020 25290016275 33720021700 40464026040 50580032550 67440043400 101160065100 202320130200