Search a number
-
+
23030103323200 = 265297148389841
BaseRepresentation
bin1010011110010000111010…
…01000001011001001000000
310000112122201111110001021011
411033020131020023021000
511004311122422320300
6120551514452210304
74564604300220451
oct517103510131100
9100478644401234
1023030103323200
11737a014a29016
1226bb47b009994
13cb0963713ccc
1459893d1b7128
1529e0ec312eba
hex14f21d20b240

23030103323200 has 84 divisors (see below), whose sum is σ = 57252659179492. Its totient is φ = 9117071769600.

The previous prime is 23030103323173. The next prime is 23030103323219. The reversal of 23030103323200 is 232330103032.

It can be written as a sum of positive squares in 6 ways, for example, as 1666701656064 + 21363401667136 = 1291008^2 + 4622056^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74039721 + ... + 74350120.

Almost surely, 223030103323200 is an apocalyptic number.

23030103323200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23030103323200 is an abundant number, since it is smaller than the sum of its proper divisors (34222555856292).

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

23030103323200 is a wasteful number, since it uses less digits than its factorization.

23030103323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148389960 (or 148389945 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 23030103323200 its reverse (232330103032), we get a palindrome (23262433426232).

The spelling of 23030103323200 in words is "twenty-three trillion, thirty billion, one hundred three million, three hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 97 100 160 194 200 320 388 400 485 776 800 970 1552 1600 1940 2425 3104 3880 4850 6208 7760 9700 15520 19400 31040 38800 77600 155200 148389841 296779682 593559364 741949205 1187118728 1483898410 2374237456 2967796820 3709746025 4748474912 5935593640 7419492050 9496949824 11871187280 14393814577 14838984100 23742374560 28787629154 29677968200 47484749120 57575258308 59355936400 71969072885 115150516616 118711872800 143938145770 230301033232 237423745600 287876291540 359845364425 460602066464 575752583080 719690728850 921204132928 1151505166160 1439381457700 2303010332320 2878762915400 4606020664640 5757525830800 11515051661600 23030103323200