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201310323120 = 24325299641299
BaseRepresentation
bin1011101101111100000…
…1111100000110110000
3201020121122212222220100
42323133001330012300
511244240420314440
6232251454512400
720354441341014
oct2733701740660
9636548788810
10201310323120
117841447a375
1233022505700
1315ca292caba
149a5a12c544
155383503230
hex2edf07c1b0

201310323120 has 120 divisors (see below), whose sum is σ = 699379902000. Its totient is φ = 51831618048.

The previous prime is 201310323079. The next prime is 201310323131. The reversal of 201310323120 is 21323013102.

201310323120 is a `hidden beast` number, since 20 + 1 + 310 + 323 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 201310323093 and 201310323102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799770 + ... + 4841529.

It is an arithmetic number, because the mean of its divisors is an integer number (5828165850).

Almost surely, 2201310323120 is an apocalyptic number.

201310323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201310323120 is an abundant number, since it is smaller than the sum of its proper divisors (498069578880).

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

201310323120 is a wasteful number, since it uses less digits than its factorization.

201310323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9641347 (or 9641338 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201310323120 its reverse (21323013102), we get a palindrome (222633336222).

The spelling of 201310323120 in words is "two hundred one billion, three hundred ten million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 9641299 19282598 28923897 38565196 48206495 57847794 77130392 86771691 96412990 115695588 144619485 154260784 173543382 192825980 231391176 279597671 289238970 347086764 385651960 433858455 462782352 559195342 578477940 694173528 771303920 838793013 867716910 1118390684 1156955880 1388347056 1397988355 1677586026 1735433820 2236781368 2313911760 2516379039 2795976710 3355172052 3470867640 4193965065 4473562736 5032758078 5591953420 6710344104 6941735280 8387930130 10065516156 11183906840 12581895195 13420688208 16775860260 20131032312 22367813680 25163790390 33551720520 40262064624 50327580780 67103441040 100655161560 201310323120