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211202414320 = 2453771352167
BaseRepresentation
bin1100010010110010100…
…1010001011011110000
3202012011001121021222111
43010230221101123300
511430020304224240
6241005224415104
721154535621032
oct3045451213360
9665131537874
10211202414320
1181630290957
1234b23317494
1316bbb1679c1
14a317c01c52
155761b981ea
hex312ca516f0

211202414320 has 40 divisors (see below), whose sum is σ = 504317123424. Its totient is φ = 82197695232.

The previous prime is 211202414309. The next prime is 211202414333. The reversal of 211202414320 is 23414202112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 211202414291 and 211202414300.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35673124 + ... + 35679043.

Almost surely, 2211202414320 is an apocalyptic number.

211202414320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211202414320 is an abundant number, since it is smaller than the sum of its proper divisors (293114709104).

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

211202414320 is a wasteful number, since it uses less digits than its factorization.

211202414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71352217 (or 71352211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211202414320 its reverse (23414202112), we get a palindrome (234616616432).

The spelling of 211202414320 in words is "two hundred eleven billion, two hundred two million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 71352167 142704334 285408668 356760835 570817336 713521670 1141634672 1427043340 2640030179 2854086680 5280060358 5708173360 10560120716 13200150895 21120241432 26400301790 42240482864 52800603580 105601207160 211202414320