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211322104 = 237217191669
BaseRepresentation
bin11001001100010…
…00010011111000
3112201122021102121
430212020103320
5413044301404
632545211024
75144131300
oct1446102370
9481567377
10211322104
11a9316474
125a930a74
1334a1c886
14200cc600
1513843e54
hexc9884f8

211322104 has 96 divisors (see below), whose sum is σ = 514026000. Its totient is φ = 80704512.

The previous prime is 211322063. The next prime is 211322141. The reversal of 211322104 is 401223112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125782 + ... + 127450.

Almost surely, 2211322104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257013000).

211322104 is an abundant number, since it is smaller than the sum of its proper divisors (302703896).

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

211322104 is a wasteful number, since it uses less digits than its factorization.

211322104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211322104 is about 14536.9220951342. The cubic root of 211322104 is about 595.6369649259.

Adding to 211322104 its reverse (401223112), we get a palindrome (612545216).

The spelling of 211322104 in words is "two hundred eleven million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 49 56 68 76 98 119 133 136 152 196 238 266 323 392 476 532 646 833 931 952 1064 1292 1666 1669 1862 2261 2584 3332 3338 3724 4522 6664 6676 7448 9044 11683 13352 15827 18088 23366 28373 31654 31711 46732 56746 63308 63422 81781 93464 113492 126616 126844 163562 198611 221977 226984 253688 327124 397222 443954 539087 654248 794444 887908 1078174 1390277 1553839 1588888 1775816 2156348 2780554 3107678 3773609 4312696 5561108 6215356 7547218 11122216 12430712 15094436 26415263 30188872 52830526 105661052 211322104