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211203312144 = 243111313053483
BaseRepresentation
bin1100010010110010110…
…0101100101000010000
3202012011010021220120020
43010230230230220100
511430021021442034
6241005255543440
721154546350426
oct3045454545020
9665133256506
10211203312144
1181630844460
1234b2368ab80
1316bbb3c0566
14a317d97116
155761cc4249
hex312cb2ca10

211203312144 has 80 divisors (see below), whose sum is σ = 599753113344. Its totient is φ = 63512425600.

The previous prime is 211203312121. The next prime is 211203312193. The reversal of 211203312144 is 441213302112.

It is a super-3 number, since 3×2112033121443 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1457574 + ... + 1595909.

Almost surely, 2211203312144 is an apocalyptic number.

211203312144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211203312144 is an abundant number, since it is smaller than the sum of its proper divisors (388549801200).

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

211203312144 is a wasteful number, since it uses less digits than its factorization.

211203312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053636 (or 3053630 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211203312144 its reverse (441213302112), we get a palindrome (652416614256).

The spelling of 211203312144 in words is "two hundred eleven billion, two hundred three million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 131 132 176 262 264 393 524 528 786 1048 1441 1572 2096 2882 3144 4323 5764 6288 8646 11528 17292 23056 34584 69168 3053483 6106966 9160449 12213932 18320898 24427864 33588313 36641796 48855728 67176626 73283592 100764939 134353252 146567184 201529878 268706504 400006273 403059756 537413008 800012546 806119512 1200018819 1600025092 1612239024 2400037638 3200050184 4400069003 4800075276 6400100368 8800138006 9600150552 13200207009 17600276012 19200301104 26400414018 35200552024 52800828036 70401104048 105601656072 211203312144