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212350215141 = 3383519718233
BaseRepresentation
bin1100010111000100001…
…1110010001111100101
3202022010001101121201000
43011301003302033211
511434343123341031
6241315150023513
721225144022101
oct3056103621745
9668101347630
10212350215141
118206a184679
12351a37a7b99
1317041bb3a9c
14a3c6424901
1557cc8223e6
hex31710f23e5

212350215141 has 32 divisors (see below), whose sum is σ = 318461915520. Its totient is φ = 139826604672.

The previous prime is 212350215139. The next prime is 212350215167. The reversal of 212350215141 is 141512053212.

It is a happy number.

212350215141 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 502 + 15 + 141 = 666.

212350215141 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 212350215141 - 21 = 212350215139 is a prime.

It is a super-2 number, since 2×2123502151412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212350215041) 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, 11637361 + ... + 11655593.

It is an arithmetic number, because the mean of its divisors is an integer number (9951934860).

Almost surely, 2212350215141 is an apocalyptic number.

It is an amenable number.

212350215141 is a deficient number, since it is larger than the sum of its proper divisors (106111700379).

212350215141 is a wasteful number, since it uses less digits than its factorization.

212350215141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23522 (or 23516 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 212350215141 its reverse (141512053212), we get a palindrome (353862268353).

The spelling of 212350215141 in words is "two hundred twelve billion, three hundred fifty million, two hundred fifteen thousand, one hundred forty-one".

Divisors: 1 3 9 27 83 249 747 2241 5197 15591 18233 46773 54699 140319 164097 431351 492291 1294053 1513339 3882159 4540017 11646477 13620051 40860153 94756901 284270703 852812109 2558436327 7864822783 23594468349 70783405047 212350215141