Search a number
-
+
3120022200330 = 233573153251787
BaseRepresentation
bin101101011001101111110…
…100001010000000001010
3102001021022201012210002000
4231121233310022000022
5402104301140402310
610345152435451430
7441262026061350
oct55315764120012
912037281183060
103120022200330
11aa3215214282
12424821156b76
131982a84bb059
14ab01d17b7d0
155625b6324c0
hex2d66fd0a00a

3120022200330 has 128 divisors (see below), whose sum is σ = 9815369564160. Its totient is φ = 690143146560.

The previous prime is 3120022200311. The next prime is 3120022200343. The reversal of 3120022200330 is 330022200213.

It is a happy number.

3120022200330 is a `hidden beast` number, since 312 + 0 + 0 + 2 + 2 + 20 + 0 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26567304 + ... + 26684483.

It is an arithmetic number, because the mean of its divisors is an integer number (76682574720).

Almost surely, 23120022200330 is an apocalyptic number.

3120022200330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3120022200330 is an abundant number, since it is smaller than the sum of its proper divisors (6695347363830).

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

3120022200330 is a wasteful number, since it uses less digits than its factorization.

3120022200330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53251841 (or 53251835 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3120022200330 its reverse (330022200213), we get a palindrome (3450044400543).

The spelling of 3120022200330 in words is "three trillion, one hundred twenty billion, twenty-two million, two hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2170 2790 3255 3906 4185 5859 6510 8370 9765 11718 19530 29295 58590 53251787 106503574 159755361 266258935 319510722 372762509 479266083 532517870 745525018 798776805 958532166 1118287527 1437798249 1597553610 1650805397 1863812545 2236575054 2396330415 2875596498 3301610794 3354862581 3727625090 4792660830 4952416191 5591437635 6709725162 7188991245 8254026985 9904832382 10064587743 11182875270 11555637779 14377982490 14857248573 16508053970 16774312905 20129175486 23111275558 24762080955 29714497146 33548625810 34666913337 44571745719 49524161910 50322938715 57778188895 69333826674 74286242865 89143491438 100645877430 104000740011 115556377790 148572485730 173334566685 208001480022 222858728595 312002220033 346669133370 445717457190 520003700055 624004440066 1040007400110 1560011100165 3120022200330