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105133210028 = 227111312605661
BaseRepresentation
bin110000111101001101…
…1010111100110101100
3101001100220200102121122
41201322123113212230
53210303100210103
6120144133320112
710411204353260
oct1417233274654
9331326612548
10105133210028
114064aa57840
1218460a96038
139bb613bc22
145134aba0a0
152b04c05b38
hex187a6d79ac

105133210028 has 48 divisors (see below), whose sum is σ = 231132642048. Its totient is φ = 40648296000.

The previous prime is 105133210019. The next prime is 105133210043. The reversal of 105133210028 is 820012331501.

It is a super-2 number, since 2×1051332100282 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105133209979 and 105133210006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1262483 + ... + 1343178.

It is an arithmetic number, because the mean of its divisors is an integer number (4815263376).

Almost surely, 2105133210028 is an apocalyptic number.

It is an amenable number.

105133210028 is an abundant number, since it is smaller than the sum of its proper divisors (125999432020).

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

105133210028 is a wasteful number, since it uses less digits than its factorization.

105133210028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605814 (or 2605812 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 105133210028 its reverse (820012331501), we get a palindrome (925145541529).

The spelling of 105133210028 in words is "one hundred five billion, one hundred thirty-three million, two hundred ten thousand, twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1441 1834 2882 3668 5764 10087 20174 40348 2605661 5211322 10422644 18239627 28662271 36479254 57324542 72958508 114649084 200635897 341341591 401271794 682683182 802543588 1365366364 2389391137 3754757501 4778782274 7509515002 9557564548 15019030004 26283302507 52566605014 105133210028