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1035131412 = 223712322993
BaseRepresentation
bin111101101100101…
…101101000010100
32200010210010100110
4331230231220110
54104443201122
6250414243020
734436320560
oct7554555024
92603703313
101035131412
11491339607
1224a7b6470
131365ba9c3
149b6946a0
1560d2090c
hex3db2da14

1035131412 has 24 divisors (see below), whose sum is σ = 2760350656. Its totient is φ = 295751808.

The previous prime is 1035131401. The next prime is 1035131417. The reversal of 1035131412 is 2141315301.

It is a super-2 number, since 2×10351314122 = 2142994080218227488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035131417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6161413 + ... + 6161580.

Almost surely, 21035131412 is an apocalyptic number.

1035131412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1035131412 is an abundant number, since it is smaller than the sum of its proper divisors (1725219244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1035131412 is a wasteful number, since it uses less digits than its factorization.

1035131412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12323007 (or 12323005 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1035131412 is about 32173.4581914969. The cubic root of 1035131412 is about 1011.5759509568.

Adding to 1035131412 its reverse (2141315301), we get a palindrome (3176446713).

The spelling of 1035131412 in words is "one billion, thirty-five million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 12322993 24645986 36968979 49291972 73937958 86260951 147875916 172521902 258782853 345043804 517565706 1035131412