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1019235031 = 19416189241
BaseRepresentation
bin111100110000000…
…100101011010111
32122000212111121121
4330300010223113
54041411010111
6245045424411
734154232463
oct7460045327
92560774547
101019235031
11483371401
1224540b107
13133213369
14995174a3
155e730871
hex3cc04ad7

1019235031 has 32 divisors (see below), whose sum is σ = 1134302400. Its totient is φ = 912384000.

The previous prime is 1019235023. The next prime is 1019235037. The reversal of 1019235031 is 1305329101.

1019235031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 13-Lehmer number, since φ(1019235031) divides (1019235031-1)13.

It is a cyclic number.

It is not a de Polignac number, because 1019235031 - 23 = 1019235023 is a prime.

It is a super-2 number, since 2×10192350312 = 2077680096835141922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1019234987 and 1019235005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019235037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4229071 + ... + 4229311.

It is an arithmetic number, because the mean of its divisors is an integer number (35446950).

Almost surely, 21019235031 is an apocalyptic number.

1019235031 is the 14278-th centered decagonal number.

1019235031 is a deficient number, since it is larger than the sum of its proper divisors (115067369).

1019235031 is a wasteful number, since it uses less digits than its factorization.

1019235031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451.

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 1019235031 is about 31925.4605448379. The cubic root of 1019235031 is about 1006.3710011455.

The spelling of 1019235031 in words is "one billion, nineteen million, two hundred thirty-five thousand, thirty-one".

Divisors: 1 19 41 61 89 241 779 1159 1691 2501 3649 4579 5429 9881 14701 21449 47519 69331 103151 187739 222589 279319 407531 602741 879409 1308389 4229191 11452079 16708771 24859391 53643949 1019235031