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204301023000120 = 23335841922469131
BaseRepresentation
bin101110011100111110001001…
…111001110011011000111000
3222210100222122120012120121000
4232130332021321303120320
5203234231443342000440
62002302332211045000
761014155542520034
oct5634761171633070
9883328576176530
10204301023000120
115a107639404362
121aab6aa72a0760
1389cc671b17217
143864317cbd1c4
15189451242e730
hexb9cf89e73638

204301023000120 has 128 divisors (see below), whose sum is σ = 681084329184000. Its totient is φ = 54473799265920.

The previous prime is 204301023000079. The next prime is 204301023000149. The reversal of 204301023000120 is 21000320103402.

204301023000120 is a `hidden beast` number, since 2 + 0 + 430 + 1 + 0 + 230 + 0 + 0 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×2043010230001202 (a number of 29 digits) contains 22 as substring.

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 = 204301023000093 and 204301023000102.

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, 2142046 + ... + 20327085.

It is an arithmetic number, because the mean of its divisors is an integer number (5320971321750).

Almost surely, 2204301023000120 is an apocalyptic number.

204301023000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204301023000120 is an abundant number, since it is smaller than the sum of its proper divisors (476783306183880).

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

204301023000120 is a wasteful number, since it uses less digits than its factorization.

204301023000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22477570 (or 22477560 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 204301023000120 its reverse (21000320103402), we get a palindrome (225301343103522).

The spelling of 204301023000120 in words is "two hundred four trillion, three hundred one billion, twenty-three million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 8419 16838 25257 33676 42095 50514 67352 75771 84190 101028 126285 151542 168380 202056 227313 252570 303084 336760 378855 454626 505140 606168 757710 909252 1010280 1136565 1515420 1818504 2273130 3030840 4546260 9092520 22469131 44938262 67407393 89876524 112345655 134814786 179753048 202222179 224691310 269629572 337036965 404444358 449382620 539259144 606666537 674073930 808888716 898765240 1011110895 1213333074 1348147860 1617777432 2022221790 2426666148 2696295720 3033332685 4044443580 4853332296 6066665370 8088887160 12133330740 24266661480 189167613889 378335227778 567502841667 756670455556 945838069445 1135005683334 1513340911112 1702508525001 1891676138890 2270011366668 2837514208335 3405017050002 3783352277780 4540022733336 5107525575003 5675028416670 6810034100004 7566704555560 8512542625005 10215051150006 11350056833340 13620068200008 17025085250010 20430102300012 22700113666680 25537627875015 34050170500020 40860204600024 51075255750030 68100341000040 102150511500060 204301023000120