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10140410223201 = 383254471600367
BaseRepresentation
bin1001001110001111111110…
…0011001001101001100001
31022220102011121211122000110
42103203333203021221201
52312120030004120301
633322235023241533
72064422550504516
oct223437743115141
938812147748013
1010140410223201
11325a5842359a5
121179342a492a9
1358730c9cb12b
14270b2702330d
15128b96b970d6
hex938ff8c9a61

10140410223201 has 16 divisors (see below), whose sum is σ = 13683991394304. Its totient is φ = 6678557770704.

The previous prime is 10140410223157. The next prime is 10140410223277. The reversal of 10140410223201 is 10232201404101.

It is not a de Polignac number, because 10140410223201 - 217 = 10140410092129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10140410223701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5536120 + ... + 7136486.

It is an arithmetic number, because the mean of its divisors is an integer number (855249462144).

Almost surely, 210140410223201 is an apocalyptic number.

It is an amenable number.

10140410223201 is a deficient number, since it is larger than the sum of its proper divisors (3543581171103).

10140410223201 is a wasteful number, since it uses less digits than its factorization.

10140410223201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625900.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10140410223201 its reverse (10232201404101), we get a palindrome (20372611627302).

The spelling of 10140410223201 in words is "ten trillion, one hundred forty billion, four hundred ten million, two hundred twenty-three thousand, two hundred one".

Divisors: 1 3 83 249 25447 76341 1600367 2112101 4801101 6336303 132830461 398491383 40724539049 122173617147 3380136741067 10140410223201