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212102122340 = 225101310469009
BaseRepresentation
bin1100010110001001000…
…1011000101101100100
3202021110202120012100202
43011202101120231210
511433341120403330
6241234404330032
721216042202343
oct3054221305544
9667422505322
10212102122340
1181a521338a9
12351346a3918
131700268b504
14a3a14c3b5a
1557b5b68445
hex3162458b64

212102122340 has 24 divisors (see below), whose sum is σ = 445854197880. Its totient is φ = 84757088768.

The previous prime is 212102122333. The next prime is 212102122369. The reversal of 212102122340 is 43221201212.

It can be written as a sum of positive squares in 4 ways, for example, as 9150070336 + 202952052004 = 95656^2 + 450502^2 .

It is a super-2 number, since 2×2121021223402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5214245 + ... + 5254764.

It is an arithmetic number, because the mean of its divisors is an integer number (18577258245).

Almost surely, 2212102122340 is an apocalyptic number.

212102122340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102122340 is an abundant number, since it is smaller than the sum of its proper divisors (233752075540).

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

212102122340 is a wasteful number, since it uses less digits than its factorization.

212102122340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10470031 (or 10470029 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212102122340 its reverse (43221201212), we get a palindrome (255323323552).

The spelling of 212102122340 in words is "two hundred twelve billion, one hundred two million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1013 2026 4052 5065 10130 20260 10469009 20938018 41876036 52345045 104690090 209380180 10605106117 21210212234 42420424468 53025530585 106051061170 212102122340