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1016429031 = 321761108907
BaseRepresentation
bin111100100101010…
…111100111100111
32121211120221111200
4330211113213213
54040201212111
6244505333543
734121334642
oct7445274747
92554527450
101016429031
114818251a2
122444972b3
131327700c7
1498dc6a59
155e379256
hex3c9579e7

1016429031 has 24 divisors (see below), whose sum is σ = 1580037264. Its totient is φ = 627298560.

The previous prime is 1016429017. The next prime is 1016429081. The reversal of 1016429031 is 1309246101.

1016429031 is a `hidden beast` number, since 10 + 1 + 642 + 9 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 1016429031 - 226 = 949320167 is a prime.

It is a super-2 number, since 2×10164290312 = 2066255950119197922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1016428986 and 1016429004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016429081) 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 23 ways as a sum of consecutive naturals, for example, 45121 + ... + 63786.

It is an arithmetic number, because the mean of its divisors is an integer number (65834886).

Almost surely, 21016429031 is an apocalyptic number.

1016429031 is a deficient number, since it is larger than the sum of its proper divisors (563608233).

1016429031 is a wasteful number, since it uses less digits than its factorization.

1016429031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108991 (or 108988 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1016429031 is about 31881.4841404851. The cubic root of 1016429031 is about 1005.4466240933.

The spelling of 1016429031 in words is "one billion, sixteen million, four hundred twenty-nine thousand, thirty-one".

Divisors: 1 3 9 17 51 61 153 183 549 1037 3111 9333 108907 326721 980163 1851419 5554257 6643327 16662771 19929981 59789943 112936559 338809677 1016429031