Search a number
-
+
10223330300304 = 2431133135844361
BaseRepresentation
bin1001010011000100110111…
…1110001001000110010000
31100012100012110120222202020
42110301031332021012100
52314444340024102204
633424311052251440
72103416440516452
oct224611576110620
940170173528666
1010223330300304
113291765484140
121191424770b80
13592095ab3204
14274b5191c2d2
1512adeb6bdbd9
hex94c4df89190

10223330300304 has 80 divisors (see below), whose sum is σ = 28819904913984. Its totient is φ = 3097043251200.

The previous prime is 10223330300299. The next prime is 10223330300341. The reversal of 10223330300304 is 40300303332201.

It is a happy number.

It is a super-3 number, since 3×102233303003043 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 1172917 + ... + 4671444.

Almost surely, 210223330300304 is an apocalyptic number.

It is an amenable number.

10223330300304 is an abundant number, since it is smaller than the sum of its proper divisors (18596574613680).

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

10223330300304 is a wasteful number, since it uses less digits than its factorization.

10223330300304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847696 (or 5847690 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 10223330300304 its reverse (40300303332201), we get a palindrome (50523633632505).

The spelling of 10223330300304 in words is "ten trillion, two hundred twenty-three billion, three hundred thirty million, three hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3313 6626 9939 13252 19878 26504 36443 39756 53008 72886 79512 109329 145772 159024 218658 291544 437316 583088 874632 1749264 5844361 11688722 17533083 23377444 35066166 46754888 64287971 70132332 93509776 128575942 140264664 192863913 257151884 280529328 385727826 514303768 771455652 1028607536 1542911304 3085822608 19362367993 38724735986 58087103979 77449471972 116174207958 154898943944 212986047923 232348415916 309797887888 425972095846 464696831832 638958143769 851944191692 929393663664 1277916287538 1703888383384 2555832575076 3407776766768 5111665150152 10223330300304