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10145313207 = 331946142899
BaseRepresentation
bin10010111001011010…
…10011000110110111
3222012001012022101000
421130231103012313
5131234200010312
64354413134343
7506260511421
oct113455230667
928161168330
1010145313207
114336845a77
121b7178a3b3
13c58b38013
146c358b811
153e5a13adc
hex25cb531b7

10145313207 has 32 divisors (see below), whose sum is σ = 15855840000. Its totient is φ = 6393517920.

The previous prime is 10145313173. The next prime is 10145313247. The reversal of 10145313207 is 70231354101.

10145313207 is a `hidden beast` number, since 1 + 0 + 1 + 453 + 1 + 3 + 207 = 666.

It is not a de Polignac number, because 10145313207 - 211 = 10145311159 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145313247) 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, 215044 + ... + 257942.

It is an arithmetic number, because the mean of its divisors is an integer number (495495000).

Almost surely, 210145313207 is an apocalyptic number.

10145313207 is a deficient number, since it is larger than the sum of its proper divisors (5710526793).

10145313207 is a wasteful number, since it uses less digits than its factorization.

10145313207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43388 (or 43382 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10145313207 its reverse (70231354101), we get a palindrome (80376667308).

The spelling of 10145313207 in words is "ten billion, one hundred forty-five million, three hundred thirteen thousand, two hundred seven".

Divisors: 1 3 9 19 27 57 171 461 513 1383 4149 8759 12447 26277 42899 78831 128697 236493 386091 815081 1158273 2445243 7335729 19776439 22007187 59329317 177987951 375752341 533963853 1127257023 3381771069 10145313207