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3423102132120 = 2335116314109761
BaseRepresentation
bin110001110100000000110…
…010010101111110011000
3110010020121212120112221220
4301310000302111332120
5422041003121211440
611140315034332040
7502211443020006
oct61640062257630
913106555515856
103423102132120
1110aa802a05950
12473505b8a020
131baa494394b8
14bb971371a76
155e0993c38d0
hex31d00c95f98

3423102132120 has 128 divisors (see below), whose sum is σ = 11220636602880. Its totient is φ = 828527616000.

The previous prime is 3423102132119. The next prime is 3423102132161. The reversal of 3423102132120 is 212312013243.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221961 + ... + 2887800.

It is an arithmetic number, because the mean of its divisors is an integer number (87661223460).

Almost surely, 23423102132120 is an apocalyptic number.

3423102132120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3423102132120 is an abundant number, since it is smaller than the sum of its proper divisors (7797534470760).

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

3423102132120 is a wasteful number, since it uses less digits than its factorization.

3423102132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110417 (or 4110413 counting only the distinct ones).

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

Adding to 3423102132120 its reverse (212312013243), we get a palindrome (3635414145363).

The spelling of 3423102132120 in words is "three trillion, four hundred twenty-three billion, one hundred two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 631 660 1262 1320 1893 2524 3155 3786 5048 6310 6941 7572 9465 12620 13882 15144 18930 20823 25240 27764 34705 37860 41646 55528 69410 75720 83292 104115 138820 166584 208230 277640 416460 832920 4109761 8219522 12329283 16439044 20548805 24658566 32878088 41097610 45207371 49317132 61646415 82195220 90414742 98634264 123292830 135622113 164390440 180829484 226036855 246585660 271244226 361658968 452073710 493171320 542488452 678110565 904147420 1084976904 1356221130 1808294840 2593259191 2712442260 5186518382 5424884520 7779777573 10373036764 12966295955 15559555146 20746073528 25932591910 28525851101 31119110292 38898887865 51865183820 57051702202 62238220584 77797775730 85577553303 103730367640 114103404404 142629255505 155595551460 171155106606 228206808808 285258511010 311191102920 342310213212 427887766515 570517022020 684620426424 855775533030 1141034044040 1711551066060 3423102132120