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210212001331 = 17314714515849
BaseRepresentation
bin1100001111000110011…
…1001001011000110011
3202002121000222002202221
43003301213021120303
511421003233020311
6240323044421511
721121151346433
oct3036147113063
9662530862687
10210212001331
1181172215a22
12348a76a7897
1316a90c06407
14a26246c2c3
155704c5c671
hex30f19c9633

210212001331 has 32 divisors (see below), whose sum is σ = 234847641600. Its totient is φ = 187229568000.

The previous prime is 210212001289. The next prime is 210212001341. The reversal of 210212001331 is 133100212012.

210212001331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210212001331 - 29 = 210212000819 is a prime.

It is a super-2 number, since 2×2102120013312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210212001341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35936895 + ... + 35942743.

It is an arithmetic number, because the mean of its divisors is an integer number (7338988800).

Almost surely, 2210212001331 is an apocalyptic number.

210212001331 is a deficient number, since it is larger than the sum of its proper divisors (24635640269).

210212001331 is a wasteful number, since it uses less digits than its factorization.

210212001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 210212001331 its reverse (133100212012), we get a palindrome (343312213343).

The spelling of 210212001331 in words is "two hundred ten billion, two hundred twelve million, one thousand, three hundred thirty-one".

Divisors: 1 17 31 47 527 799 1451 1457 5849 24667 24769 44981 68197 99433 181319 274903 764677 1159349 2114107 3082423 4673351 8486899 8521993 35939819 144277283 144873881 263093869 398884253 4472595773 6781032301 12365411843 210212001331