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210355021300 = 225215777317333
BaseRepresentation
bin1100001111101000100…
…0101110010111110100
3202002222000002021021211
43003322020232113310
511421301341140200
6240345154051204
721124536115324
oct3037210562764
9662860067254
10210355021300
1181235a1aa46
1234927579b04
1316ab4730208
14a27745b284
1557125adaba
hex30fa22e5f4

210355021300 has 72 divisors (see below), whose sum is σ = 459998667576. Its totient is φ = 83493096960.

The previous prime is 210355021273. The next prime is 210355021321. The reversal of 210355021300 is 3120553012.

It can be written as a sum of positive squares in 12 ways, for example, as 180730415376 + 29624605924 = 425124^2 + 172118^2 .

It is a super-2 number, since 2×2103550213002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12127434 + ... + 12144766.

It is an arithmetic number, because the mean of its divisors is an integer number (6388870383).

Almost surely, 2210355021300 is an apocalyptic number.

210355021300 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 210355021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229999333788).

210355021300 is an abundant number, since it is smaller than the sum of its proper divisors (249643646276).

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

210355021300 is a wasteful number, since it uses less digits than its factorization.

210355021300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18277 (or 18270 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 210355021300 its reverse (3120553012), we get a palindrome (213475574312).

The spelling of 210355021300 in words is "two hundred ten billion, three hundred fifty-five million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 773 785 1546 1570 3092 3140 3865 3925 7730 7850 15460 15700 17333 19325 34666 38650 69332 77300 86665 121361 173330 242722 346660 433325 485444 606805 866650 1213610 1733300 2427220 2721281 3034025 5442562 6068050 10885124 12136100 13398409 13606405 26796818 27212810 53593636 54425620 66992045 68032025 133984090 136064050 267968180 272128100 334960225 669920450 1339840900 2103550213 4207100426 8414200852 10517751065 21035502130 42071004260 52588755325 105177510650 210355021300