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10132101322 = 273109179757
BaseRepresentation
bin10010110111110101…
…11001100011001010
3222011010100002001221
421123322321203022
5131222304220242
64353222032254
7506040304000
oct113372714312
928133302057
1010132101322
11432a341762
121b6927868a
13c56190535
146c190ca70
153e47a4167
hex25beb98ca

10132101322 has 64 divisors (see below), whose sum is σ = 18010080000. Its totient is φ = 4272803136.

The previous prime is 10132101307. The next prime is 10132101323. The reversal of 10132101322 is 22310123101.

It is a junction number, because it is equal to n+sod(n) for n = 10132101296 and 10132101305.

It is not an unprimeable number, because it can be changed into a prime (10132101323) 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, 13384168 + ... + 13384924.

It is an arithmetic number, because the mean of its divisors is an integer number (281407500).

Almost surely, 210132101322 is an apocalyptic number.

10132101322 is a deficient number, since it is larger than the sum of its proper divisors (7877978678).

10132101322 is a wasteful number, since it uses less digits than its factorization.

10132101322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1054 counting only the distinct ones).

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

Adding to 10132101322 its reverse (22310123101), we get a palindrome (32442224423).

The spelling of 10132101322 in words is "ten billion, one hundred thirty-two million, one hundred one thousand, three hundred twenty-two".

Divisors: 1 2 7 14 49 98 109 179 218 343 358 686 757 763 1253 1514 1526 2506 5299 5341 8771 10598 10682 17542 19511 37093 37387 39022 61397 74186 74774 82513 122794 135503 136577 165026 259651 271006 273154 519302 577591 948521 956039 1155182 1897042 1912078 4043137 6639647 6692273 8086274 13279294 13384546 14769827 28301959 29539654 46477529 56603918 92955058 103388789 206777578 723721523 1447443046 5066050661 10132101322