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10120000322029 = 133726978213761
BaseRepresentation
bin1001001101000011111100…
…0001100011100111101101
31022211110111020000020001211
42103100333001203213231
52311301230040301104
633305021452234421
72063101020300463
oct223207701434755
938743436006054
1010120000322029
113251960399084
1211753a776ba11
13585409426330
1426db4c51a833
1512839ee5de04
hex9343f0639ed

10120000322029 has 16 divisors (see below), whose sum is σ = 11234624773680. Its totient is φ = 9055276277760.

The previous prime is 10120000322017. The next prime is 10120000322087. The reversal of 10120000322029 is 92022300002101.

It can be written as a sum of positive squares in 8 ways, for example, as 1596111337129 + 8523888984900 = 1263373^2 + 2919570^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120000322029 - 211 = 10120000319981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120000322099) 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, 38977492 + ... + 39236269.

It is an arithmetic number, because the mean of its divisors is an integer number (702164048355).

Almost surely, 210120000322029 is an apocalyptic number.

It is an amenable number.

10120000322029 is a deficient number, since it is larger than the sum of its proper divisors (1114624451651).

10120000322029 is a wasteful number, since it uses less digits than its factorization.

10120000322029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78214080.

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 10120000322029 in words is "ten trillion, one hundred twenty billion, three hundred twenty-two thousand, twenty-nine".

Divisors: 1 13 37 269 481 3497 9953 129389 78213761 1016778893 2893909157 21039501709 37620819041 273513522217 778461563233 10120000322029