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212132211336 = 23336714658113
BaseRepresentation
bin1100010110010000010…
…0001010101010001000
3202021112212011212201000
43011210010022222020
511433421321230321
6241241401255000
721216556021353
oct3054404125210
9667485155630
10212132211336
1181a68115141
1235142794460
1317008994b56
14a3a54b729a
1557b860d826
hex316410aa88

212132211336 has 64 divisors (see below), whose sum is σ = 598051051200. Its totient is φ = 69655348224.

The previous prime is 212132211311. The next prime is 212132211337. The reversal of 212132211336 is 633112231212.

212132211336 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 322 + 1 + 1 + 336 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212132211337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7314585 + ... + 7343528.

It is an arithmetic number, because the mean of its divisors is an integer number (9344547675).

Almost surely, 2212132211336 is an apocalyptic number.

It is an amenable number.

212132211336 is an abundant number, since it is smaller than the sum of its proper divisors (385918839864).

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

212132211336 is a wasteful number, since it uses less digits than its factorization.

212132211336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658195 (or 14658185 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 212132211336 its reverse (633112231212), we get a palindrome (845244442548).

The spelling of 212132211336 in words is "two hundred twelve billion, one hundred thirty-two million, two hundred eleven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 14658113 29316226 43974339 58632452 87948678 117264904 131923017 175897356 263846034 351794712 395769051 527692068 791538102 982093571 1055384136 1583076204 1964187142 2946280713 3166152408 3928374284 5892561426 7856748568 8838842139 11785122852 17677684278 23570245704 26516526417 35355368556 53033052834 70710737112 106066105668 212132211336