Search a number
-
+
204423201300030 = 235314327718454361
BaseRepresentation
bin101110011110101111111100…
…010011000001111000111110
3222210210200000101020021210220
4232132233330103001320332
5203243232204013100110
62002434420000042210
761026042332112036
oct5636577423017076
9883720011207726
10204423201300030
115a154435917439
121ab16704603366
138a0b0433a5a3b
14386a1c86548c6
1518977b3767370
hexb9ebfc4c1e3e

204423201300030 has 128 divisors (see below), whose sum is σ = 520090573787136. Its totient is φ = 51341505868800.

The previous prime is 204423201299951. The next prime is 204423201300077. The reversal of 204423201300030 is 30003102324402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1850050 + ... + 20304410.

It is an arithmetic number, because the mean of its divisors is an integer number (4063207607712).

Almost surely, 2204423201300030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204423201300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260045286893568).

204423201300030 is an abundant number, since it is smaller than the sum of its proper divisors (315667372487106).

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

204423201300030 is a wasteful number, since it uses less digits than its factorization.

204423201300030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18454722.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 204423201300030 its reverse (30003102324402), we get a palindrome (234426303624432).

The spelling of 204423201300030 in words is "two hundred four trillion, four hundred twenty-three billion, two hundred one million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 43 62 86 93 129 155 186 215 258 277 310 430 465 554 645 831 930 1290 1333 1385 1662 2666 2770 3999 4155 6665 7998 8310 8587 11911 13330 17174 19995 23822 25761 35733 39990 42935 51522 59555 71466 85870 119110 128805 178665 257610 357330 369241 738482 1107723 1846205 2215446 3692410 5538615 11077230 18454361 36908722 55363083 92271805 110726166 184543610 276815415 553630830 572085191 793537523 1144170382 1587075046 1716255573 2380612569 2860425955 3432511146 3967687615 4761225138 5111857997 5720851910 7935375230 8581277865 10223715994 11903062845 15335573991 17162555730 23806125690 24599663213 25559289985 30671147982 49199326426 51118579970 73798989639 76677869955 122998316065 147597979278 153355739910 158467597907 219809893871 245996632130 316935195814 368994948195 439619787742 475402793721 659429681613 737989896390 792337989535 950805587442 1099049469355 1318859363226 1584675979070 2198098938710 2377013968605 3297148408065 4754027937210 6594296816130 6814106710001 13628213420002 20442320130003 34070533550005 40884640260006 68141067100010 102211600650015 204423201300030