Search a number
-
+
323000021120 = 2757312325749
BaseRepresentation
bin1001011001101000100…
…11010011000010000000
31010212201102112011022012
410230310103103002000
520243001001133440
6404214551232052
732223145610450
oct4546423230200
91125642464265
10323000021120
11114a90100617
1252724078628
13245c6bc756a
14118c1a37d60
1586069c4e65
hex4b344d3080

323000021120 has 128 divisors (see below), whose sum is σ = 910949760000. Its totient is φ = 107170467840.

The previous prime is 323000021087. The next prime is 323000021143. The reversal of 323000021120 is 21120000323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 323000021095 and 323000021104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023995 + ... + 1301754.

It is an arithmetic number, because the mean of its divisors is an integer number (7116795000).

Almost surely, 2323000021120 is an apocalyptic number.

It is an amenable number.

323000021120 is an abundant number, since it is smaller than the sum of its proper divisors (587949738880).

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

323000021120 is a wasteful number, since it uses less digits than its factorization.

323000021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325806 (or 2325794 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 323000021120 its reverse (21120000323), we get a palindrome (344120021443).

The spelling of 323000021120 in words is "three hundred twenty-three billion, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 17360 19840 27776 34720 69440 138880 2325749 4651498 9302996 11628745 16280243 18605992 23257490 32560486 37211984 46514980 65120972 72098219 74423968 81401215 93029960 130241944 144196438 148847936 162802430 186059920 260483888 288392876 297695872 325604860 360491095 372119840 504687533 520967776 576785752 651209720 720982190 744239680 1009375066 1041935552 1153571504 1302419440 1441964380 1488479360 2018750132 2083871104 2307143008 2523437665 2604838880 2883928760 4037500264 4614286016 5046875330 5209677760 5767857520 8075000528 9228572032 10093750660 10419355520 11535715040 16150001056 20187501320 23071430080 32300002112 40375002640 46142860160 64600004224 80750005280 161500010560 323000021120