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323300001122120 = 235112101661361593
BaseRepresentation
bin100100110000010100010010…
…1101110010000011101001000
31120101201011210221201101222002
41021200220211232100131020
5314333421400241401440
63103333545315050132
7125045440262314061
oct11140504556203510
91511634727641862
10323300001122120
1194016840246600
12303158582a0948
1310b520a034b009
1459b9b36d01568
152759b9576a115
hex1260a25b90748

323300001122120 has 96 divisors (see below), whose sum is σ = 807482824578360. Its totient is φ = 116399640192000.

The previous prime is 323300001122099. The next prime is 323300001122233. The reversal of 323300001122120 is 21221100003323.

It can be written as a sum of positive squares in 4 ways, for example, as 308802807801796 + 14497193320324 = 17572786^2 + 3807518^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 323300001122092 and 323300001122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330191957 + ... + 331169636.

Almost surely, 2323300001122120 is an apocalyptic number.

It is an amenable number.

323300001122120 is an abundant number, since it is smaller than the sum of its proper divisors (484182823456240).

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

323300001122120 is a wasteful number, since it uses less digits than its factorization.

323300001122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661361727 (or 661361712 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 323300001122120 its reverse (21221100003323), we get a palindrome (344521101125443).

The spelling of 323300001122120 in words is "three hundred twenty-three trillion, three hundred billion, one million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 121 202 220 242 404 440 484 505 605 808 968 1010 1111 1210 2020 2222 2420 4040 4444 4840 5555 8888 11110 12221 22220 24442 44440 48884 61105 97768 122210 244420 488840 661361593 1322723186 2645446372 3306807965 5290892744 6613615930 7274977523 13227231860 14549955046 26454463720 29099910092 36374887615 58199820184 66797520893 72749775230 80024752753 133595041786 145499550460 160049505506 267190083572 290999100920 320099011012 333987604465 400123763765 534380167144 640198022024 667975208930 734772729823 800247527530 1335950417860 1469545459646 1600495055060 2671900835720 2939090919292 3200990110120 3673863649115 5878181838584 7347727298230 8082500028053 14695454596460 16165000056106 29390909192920 32330000112212 40412500140265 64660000224424 80825000280530 161650000561060 323300001122120