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212135224356 = 2232111015303911
BaseRepresentation
bin1100010110010000111…
…1101010010000100100
3202021120001211221210100
43011210033222100210
511433423104134411
6241241550024100
721216623440566
oct3054417522044
9667501757710
10212135224356
1181a69892940
12351437a8030
13170094ab3c3
14a3a5a5d336
1557b8a06456
hex31643ea424

212135224356 has 72 divisors (see below), whose sum is σ = 590770934208. Its totient is φ = 63646920000.

The previous prime is 212135224351. The next prime is 212135224381. The reversal of 212135224356 is 653422531212.

212135224356 is a `hidden beast` number, since 2 + 1 + 213 + 5 + 2 + 2 + 435 + 6 = 666.

212135224356 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121352243562 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 212135224356.

It is not an unprimeable number, because it can be changed into a prime (212135224351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611960 + ... + 2691951.

It is an arithmetic number, because the mean of its divisors is an integer number (8205151864).

Almost surely, 2212135224356 is an apocalyptic number.

It is an amenable number.

212135224356 is an abundant number, since it is smaller than the sum of its proper divisors (378635709852).

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

212135224356 is a wasteful number, since it uses less digits than its factorization.

212135224356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5304033 (or 5304028 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 212135224356 its reverse (653422531212), we get a palindrome (865557755568).

The spelling of 212135224356 in words is "two hundred twelve billion, one hundred thirty-five million, two hundred twenty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 19998 39996 5303911 10607822 15911733 21215644 31823466 47735199 58343021 63646932 95470398 116686042 175029063 190940796 233372084 350058126 525087189 535695011 700116252 1050174378 1071390022 1607085033 2100348756 2142780044 3214170066 4821255099 5892645121 6428340132 9642510198 11785290242 17677935363 19285020396 23570580484 35355870726 53033806089 70711741452 106067612178 212135224356