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323212230200120 = 23553191910987629
BaseRepresentation
bin100100101111101011011011…
…0001010110000101100111000
31120101101210021001020121000012
41021133112312022300230320
5314331002121412400440
63103225352043401052
7125036212240635152
oct11137266612605470
91511353231217005
10323212230200120
1193a9259a905838
1230300841b23188
1310b46a2329b801
1459b57ac08dad2
152757759e50e65
hex125f5b62b0b38

323212230200120 has 128 divisors (see below), whose sum is σ = 744918374016000. Its totient is φ = 126166149457920.

The previous prime is 323212230200099. The next prime is 323212230200143. The reversal of 323212230200120 is 21002032212323.

It is a super-2 number, since 2×3232122302001202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3688372466 + ... + 3688460094.

It is an arithmetic number, because the mean of its divisors is an integer number (5819674797000).

Almost surely, 2323212230200120 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 323212230200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372459187008000).

323212230200120 is an abundant number, since it is smaller than the sum of its proper divisors (421706143815880).

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

323212230200120 is a wasteful number, since it uses less digits than its factorization.

323212230200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96993 (or 96989 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 323212230200120 its reverse (21002032212323), we get a palindrome (344214262412443).

The spelling of 323212230200120 in words is "three hundred twenty-three trillion, two hundred twelve billion, two hundred thirty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 191 212 265 382 424 530 764 955 1060 1528 1910 2120 3820 7640 9109 10123 18218 20246 36436 40492 45545 50615 72872 80984 87629 91090 101230 175258 182180 202460 350516 364360 404920 438145 482777 701032 876290 965554 1739819 1752580 1931108 2413885 3479638 3505160 3862216 4644337 4827770 6959276 8699095 9288674 9655540 13918552 16737139 17398190 18577348 19311080 23221685 33474278 34796380 37154696 46443370 66948556 69592760 83685695 92210407 92886740 133897112 167371390 184420814 185773480 334742780 368841628 461052035 669485560 737683256 798212561 887068367 922104070 1596425122 1774136734 1844208140 3192850244 3548273468 3688416280 3991062805 4435341835 6385700488 7096546936 7982125610 8870683670 15964251220 17741367340 31928502440 35482734680 42305265733 84610531466 152458599151 169221062932 211526328665 304917198302 338442125864 423052657330 609834396604 762292995755 846105314660 1219668793208 1524585991510 1692210629320 3049171983020 6098343966040 8080305755003 16160611510006 32321223020012 40401528775015 64642446040024 80803057550030 161606115100060 323212230200120