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212003320130 = 25721373499049
BaseRepresentation
bin1100010101110001100…
…0011111000101000010
3202021012212122112012122
43011130120133011002
511433140322221010
6241220514524242
721213432326300
oct3053430370502
9667185575178
10212003320130
1181a01390288
1235107596682
1316cb8076c74
14a392325270
1557ac14d855
hex315c61f142

212003320130 has 96 divisors (see below), whose sum is σ = 448479990000. Its totient is φ = 71941588992.

The previous prime is 212003320117. The next prime is 212003320171. The reversal of 212003320130 is 31023300212.

It can be written as a sum of positive squares in 8 ways, for example, as 161516375881 + 50486944249 = 401891^2 + 224693^2 .

It is a super-2 number, since 2×2120033201302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212003320099 and 212003320108.

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 47 ways as a sum of consecutive naturals, for example, 23423846 + ... + 23432894.

Almost surely, 2212003320130 is an apocalyptic number.

212003320130 is an abundant number, since it is smaller than the sum of its proper divisors (236476669870).

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

212003320130 is a wasteful number, since it uses less digits than its factorization.

212003320130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 212003320130 its reverse (31023300212), we get a palindrome (243026620342).

The spelling of 212003320130 in words is "two hundred twelve billion, three million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 137 245 274 349 490 685 698 959 1370 1745 1918 2443 3490 4795 4886 6713 9049 9590 12215 13426 17101 18098 24430 33565 34202 45245 47813 63343 67130 85505 90490 95626 126686 171010 239065 316715 334691 443401 478130 633430 669382 886802 1239713 1673455 2217005 2342837 2479426 3158101 3346910 4434010 4685674 6198565 6316202 8677991 11714185 12397130 15790505 17355982 22106707 23428370 31581010 43389955 44213414 60745937 86779910 110533535 121491874 154746949 221067070 303729685 309493898 432659837 607459370 773734745 865319674 1547469490 2163299185 3028618859 4326598370 6057237718 15143094295 21200332013 30286188590 42400664026 106001660065 212003320130