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100020120031 = 1337273206419
BaseRepresentation
bin101110100100110101…
…0011110100111011111
3100120011120111112202001
41131021222132213133
53114320122320111
6113540522143131
710140406664326
oct1351152364737
9316146445661
10100020120031
1139466828627
1217474651aa7
13957ca356a0
144bab9bb0bd
152905db11c1
hex1749a9e9df

100020120031 has 8 divisors (see below), whose sum is σ = 107717387120. Its totient is φ = 92323340352.

The previous prime is 100020120023. The next prime is 100020120037. The reversal of 100020120031 is 130021020001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100020120031 - 23 = 100020120023 is a prime.

It is a super-2 number, since 2×1000201200312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020120037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381340 + ... + 587758.

It is an arithmetic number, because the mean of its divisors is an integer number (13464673390).

Almost surely, 2100020120031 is an apocalyptic number.

100020120031 is a deficient number, since it is larger than the sum of its proper divisors (7697267089).

100020120031 is a wasteful number, since it uses less digits than its factorization.

100020120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243705.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 100020120031 its reverse (130021020001), we get a palindrome (230041140032).

The spelling of 100020120031 in words is "one hundred billion, twenty million, one hundred twenty thousand, thirty-one".

Divisors: 1 13 37273 206419 484549 2683447 7693855387 100020120031