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31233233040 = 2435130138471
BaseRepresentation
bin11101000101101001…
…010101000010010000
32222121200211122001220
4131011221111002100
51002431201424130
622203124325040
72153663046312
oct350551250220
988550748056
1031233233040
1112278389299
126077b43780
132c39a23ca9
1417241497b2
15c2c02b410
hex745a55090

31233233040 has 40 divisors (see below), whose sum is σ = 96823023168. Its totient is φ = 8328862080.

The previous prime is 31233232967. The next prime is 31233233041. The reversal of 31233233040 is 4033233213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×312332330402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31233233040.

It is not an unprimeable number, because it can be changed into a prime (31233233041) 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, 65068996 + ... + 65069475.

Almost surely, 231233233040 is an apocalyptic number.

31233233040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31233233040 is an abundant number, since it is smaller than the sum of its proper divisors (65589790128).

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

31233233040 is a wasteful number, since it uses less digits than its factorization.

31233233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130138487 (or 130138481 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 31233233040 its reverse (4033233213), we get a palindrome (35266466253).

The spelling of 31233233040 in words is "thirty-one billion, two hundred thirty-three million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 130138471 260276942 390415413 520553884 650692355 780830826 1041107768 1301384710 1561661652 1952077065 2082215536 2602769420 3123323304 3904154130 5205538840 6246646608 7808308260 10411077680 15616616520 31233233040