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212000101131 = 37133720988031
BaseRepresentation
bin1100010101110000110…
…0001101001100001011
3202021012122120222120110
43011130030031030023
511433134011214011
6241220321525403
721213363061410
oct3053414151413
9667178528513
10212000101131
11819aa591855
12351064a3863
1316cb74baa30
14a391b28107
1557abc14ba6
hex315c30d30b

212000101131 has 32 divisors (see below), whose sum is σ = 357300256768. Its totient is φ = 108801947520.

The previous prime is 212000101129. The next prime is 212000101139. The reversal of 212000101131 is 131101000212.

It is not a de Polignac number, because 212000101131 - 21 = 212000101129 is a prime.

It is a super-3 number, since 3×2120001011313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (212000101139) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10483915 + ... + 10504116.

It is an arithmetic number, because the mean of its divisors is an integer number (11165633024).

Almost surely, 2212000101131 is an apocalyptic number.

212000101131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212000101131 is a deficient number, since it is larger than the sum of its proper divisors (145300155637).

212000101131 is a wasteful number, since it uses less digits than its factorization.

212000101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20988091.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 212000101131 its reverse (131101000212), we get a palindrome (343101101343).

The spelling of 212000101131 in words is "two hundred twelve billion, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 20988031 62964093 146916217 272844403 440748651 776557147 818533209 1909910821 2329671441 5435900029 5729732463 10095242911 16307700087 30285728733 70666700377 212000101131