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3322100133 = 321132973131
BaseRepresentation
bin1100011000000011…
…0011100110100101
322120112010011122200
43012000303212211
523300424201013
61305352045113
7145216246062
oct30600634645
98515104580
103322100133
11145526a000
12788693799
1340c34c631
142372cdc69
151469bae73
hexc60339a5

3322100133 has 96 divisors (see below), whose sum is σ = 5577137280. Its totient is φ = 1902700800.

The previous prime is 3322100081. The next prime is 3322100137. The reversal of 3322100133 is 3310012233.

It is not a de Polignac number, because 3322100133 - 26 = 3322100069 is a prime.

It is a super-2 number, since 2×33221001332 = 22072698587357235378, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322100137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25359478 + ... + 25359608.

It is an arithmetic number, because the mean of its divisors is an integer number (58095180).

Almost surely, 23322100133 is an apocalyptic number.

3322100133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3322100133 is a deficient number, since it is larger than the sum of its proper divisors (2255037147).

3322100133 is a wasteful number, since it uses less digits than its factorization.

3322100133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3322100133 is about 57637.6624526013. The cubic root of 3322100133 is about 1492.1216764553.

Adding to 3322100133 its reverse (3310012233), we get a palindrome (6632112366).

It can be divided in two parts, 3322100 and 133, that added together give a palindrome (3322233).

The spelling of 3322100133 in words is "three billion, three hundred twenty-two million, one hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 11 29 33 73 87 99 121 131 219 261 319 363 393 657 803 957 1089 1179 1331 1441 2117 2409 2871 3509 3799 3993 4323 6351 7227 8833 9563 10527 11397 11979 12969 15851 19053 23287 26499 28689 31581 34191 38599 41789 47553 69861 79497 86067 97163 105193 115797 125367 142659 174361 209583 256157 277327 291489 315579 347391 376101 459679 523083 768471 831981 874467 946737 1157123 1379037 1569249 2305413 2495943 2817727 3050597 3471369 4137111 5056469 8453181 9151791 10414107 12728353 15169407 25359543 27455373 33556567 38185059 45508221 100669701 114555177 302009103 369122237 1107366711 3322100133