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202321210340 = 225293719747857
BaseRepresentation
bin1011110001101101001…
…0001010101111100100
3201100020010001101110202
42330123102022233210
511303323212212330
6232540045410032
720421464625044
oct2743322125744
9640203041422
10202321210340
1178893059957
1233264b69918
13161041ac612
149b144b1724
1553e2135445
hex2f1b48abe4

202321210340 has 96 divisors (see below), whose sum is σ = 453705325920. Its totient is φ = 75638513664.

The previous prime is 202321210261. The next prime is 202321210397. The reversal of 202321210340 is 43012123202.

It can be written as a sum of positive squares in 16 ways, for example, as 2933955556 + 199387254784 = 54166^2 + 446528^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4203692 + ... + 4251548.

It is an arithmetic number, because the mean of its divisors is an integer number (4726097145).

Almost surely, 2202321210340 is an apocalyptic number.

202321210340 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 202321210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226852662960).

202321210340 is an abundant number, since it is smaller than the sum of its proper divisors (251384115580).

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

202321210340 is a wasteful number, since it uses less digits than its factorization.

202321210340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48129 (or 48127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 202321210340 its reverse (43012123202), we get a palindrome (245333333542).

The spelling of 202321210340 in words is "two hundred two billion, three hundred twenty-one million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 197 290 370 394 580 740 788 985 1073 1970 2146 3940 4292 5365 5713 7289 10730 11426 14578 21460 22852 28565 29156 36445 47857 57130 72890 95714 114260 145780 191428 211381 239285 422762 478570 845524 957140 1056905 1387853 1770709 2113810 2775706 3541418 4227620 5551412 6939265 7082836 8853545 9427829 13878530 17707090 18855658 27757060 35414180 37711316 47139145 51350561 94278290 102701122 188556580 205402244 256752805 273407041 348829673 513505610 546814082 697659346 1027011220 1093628164 1367035205 1395318692 1744148365 2734070410 3488296730 5468140820 6976593460 10116060517 20232121034 40464242068 50580302585 101160605170 202321210340