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105245323002 = 2333539550717
BaseRepresentation
bin110001000000100011…
…1000010111011111010
3101001122201122100201000
41202001013002323322
53211020300314002
6120203220305430
710414035325251
oct1420107027372
9331581570630
10105245323002
11406a8271996
1218492542276
139c03433c71
145145941798
152b0e99e61c
hex18811c2efa

105245323002 has 32 divisors (see below), whose sum is σ = 233945006400. Its totient is φ = 35071797744.

The previous prime is 105245322971. The next prime is 105245323009. The reversal of 105245323002 is 200323542501.

It is a happy number.

105245323002 is a `hidden beast` number, since 105 + 24 + 532 + 3 + 0 + 0 + 2 = 666.

It is a super-2 number, since 2×1052453230022 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105245323009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84253 + ... + 466464.

It is an arithmetic number, because the mean of its divisors is an integer number (7310781450).

Almost surely, 2105245323002 is an apocalyptic number.

105245323002 is an abundant number, since it is smaller than the sum of its proper divisors (128699683398).

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

105245323002 is a wasteful number, since it uses less digits than its factorization.

105245323002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554267 (or 554261 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 105245323002 its reverse (200323542501), we get a palindrome (305568865503).

The spelling of 105245323002 in words is "one hundred five billion, two hundred forty-five million, three hundred twenty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 54 3539 7078 10617 21234 31851 63702 95553 191106 550717 1101434 1652151 3304302 4956453 9912906 14869359 29738718 1948987463 3897974926 5846962389 11693924778 17540887167 35081774334 52622661501 105245323002