Search a number
-
+
10145220110363 = 132194767223839
BaseRepresentation
bin1001001110100001111000…
…1111011010100000011011
31022220212120211111012210102
42103220132033122200123
52312204402322012423
633324352204010015
72064653004044252
oct223503617324033
938825524435712
1010145220110363
1132616222a3358
12117a26583090b
135878c8354b00
14271061b57799
15128d79098c28
hex93a1e3da81b

10145220110363 has 24 divisors (see below), whose sum is σ = 11809884211200. Its totient is φ = 8683168706784.

The previous prime is 10145220110279. The next prime is 10145220110407. The reversal of 10145220110363 is 36301102254101.

10145220110363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10145220110363 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10145220110863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33461003 + ... + 33762836.

It is an arithmetic number, because the mean of its divisors is an integer number (492078508800).

Almost surely, 210145220110363 is an apocalyptic number.

10145220110363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10145220110363 is a deficient number, since it is larger than the sum of its proper divisors (1664664100837).

10145220110363 is a wasteful number, since it uses less digits than its factorization.

10145220110363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67223931 (or 67223918 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 10145220110363 its reverse (36301102254101), we get a palindrome (46446322364464).

The spelling of 10145220110363 in words is "ten trillion, one hundred forty-five billion, two hundred twenty million, one hundred ten thousand, three hundred sixty-three".

Divisors: 1 13 19 47 169 247 611 893 3211 7943 11609 150917 67223839 873909907 1277252941 3159520433 11360828791 16604288233 41073765629 60030888227 215855747029 533958953177 780401546951 10145220110363