Search a number
-
+
341222133120 = 27351116156351
BaseRepresentation
bin1001111011100100110…
…11001000110110000000
31012121202100122100201020
410331302123020312000
521042310331224440
6420431050305440
733436542163431
oct4756233106600
91177670570636
10341222133120
11121790aa9010
125616a728280
132623c15495b
141272db61488
158d216043d0
hex4f726c8d80

341222133120 has 128 divisors (see below), whose sum is σ = 1186522490880. Its totient is φ = 82720512000.

The previous prime is 341222133101. The next prime is 341222133157. The reversal of 341222133120 is 21331222143.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

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, 8057056 + ... + 8099295.

It is an arithmetic number, because the mean of its divisors is an integer number (9269706960).

Almost surely, 2341222133120 is an apocalyptic number.

341222133120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

341222133120 is an abundant number, since it is smaller than the sum of its proper divisors (845300357760).

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

341222133120 is a wasteful number, since it uses less digits than its factorization.

341222133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16156384 (or 16156372 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 341222133120 its reverse (21331222143), we get a palindrome (362553355263).

The spelling of 341222133120 in words is "three hundred forty-one billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 16156351 32312702 48469053 64625404 80781755 96938106 129250808 161563510 177719861 193876212 242345265 258501616 323127020 355439722 387752424 484690530 517003232 533159583 646254040 710879444 775504848 888599305 969381060 1034006464 1066319166 1292508080 1421758888 1551009696 1777198610 1938762120 2068012928 2132638332 2585016160 2665797915 2843517776 3102019392 3554397220 3877524240 4265276664 5170032320 5331595830 5687035552 6204038784 7108794440 7755048480 8530553328 10340064640 10663191660 11374071104 14217588880 15510096960 17061106656 21326383320 22748142208 28435177760 31020193920 34122213312 42652766640 56870355520 68244426624 85305533280 113740711040 170611066560 341222133120