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100343031 = 3413472351
BaseRepresentation
bin1011111101100…
…01110011110111
320222210221202120
411332301303313
5201141434111
613542411023
72325621165
oct576616367
9228727676
10100343031
1151706228
1229730a73
1317a33999
14d480235
158c21406
hex5fb1cf7

100343031 has 16 divisors (see below), whose sum is σ = 137507328. Its totient is φ = 65048000.

The previous prime is 100343021. The next prime is 100343041. The reversal of 100343031 is 130343001.

It is an interprime number because it is at equal distance from previous prime (100343021) and next prime (100343041).

It is a cyclic number.

It is not a de Polignac number, because 100343031 - 219 = 99818743 is a prime.

It is a super-3 number, since 3×1003430313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100343031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100343021) 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 15 ways as a sum of consecutive naturals, for example, 41506 + ... + 43856.

It is an arithmetic number, because the mean of its divisors is an integer number (8594208).

Almost surely, 2100343031 is an apocalyptic number.

100343031 is a deficient number, since it is larger than the sum of its proper divisors (37164297).

100343031 is a wasteful number, since it uses less digits than its factorization.

100343031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 100343031 is about 10017.1368663905. The cubic root of 100343031 is about 464.6890139382.

Adding to 100343031 its reverse (130343001), we get a palindrome (230686032).

The spelling of 100343031 in words is "one hundred million, three hundred forty-three thousand, thirty-one".

Divisors: 1 3 41 123 347 1041 2351 7053 14227 42681 96391 289173 815797 2447391 33447677 100343031