Search a number
-
+
10200301210123 = 297910945789381
BaseRepresentation
bin1001010001101111000101…
…0101001000101000001011
31100010010202112021222221021
42110123301111020220023
52314110204102210443
633405541555053311
72101642654501033
oct224336125105013
940103675258837
1010200301210123
113282a18125902
121188a782a1237
1358cb659aa22b
142739a921a8c3
1512a4eea649ed
hex946f1548a0b

10200301210123 has 32 divisors (see below), whose sum is σ = 10807356384000. Its totient is φ = 9613501148160.

The previous prime is 10200301210111. The next prime is 10200301210139. The reversal of 10200301210123 is 32101210300201.

It is a de Polignac number, because none of the positive numbers 2k-10200301210123 is a prime.

It is a super-2 number, since 2×102003012101232 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200301210097 and 10200301210106.

It is not an unprimeable number, because it can be changed into a prime (10200301211123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 114076893 + ... + 114166273.

It is an arithmetic number, because the mean of its divisors is an integer number (337729887000).

Almost surely, 210200301210123 is an apocalyptic number.

10200301210123 is a deficient number, since it is larger than the sum of its proper divisors (607055173877).

10200301210123 is a wasteful number, since it uses less digits than its factorization.

10200301210123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90055.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10200301210123 its reverse (32101210300201), we get a palindrome (42301511510324).

The spelling of 10200301210123 in words is "ten trillion, two hundred billion, three hundred one million, two hundred ten thousand, one hundred twenty-three".

Divisors: 1 29 79 109 457 2291 3161 8611 13253 36103 49813 89381 249719 1046987 1444577 2592049 3935227 7061099 9742529 40847117 114121583 204771871 282533341 769659791 1184566393 3226922243 4452335753 22320133939 93580745047 129117736837 351734524487 10200301210123