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100023103031 = 1711035334281
BaseRepresentation
bin101110100100111010…
…1110110111000110111
3100120011210010002122112
41131021311312320313
53114321403244111
6113541110121235
710140444230165
oct1351165667067
9316153102575
10100023103031
1139468485815
121747565021b
13958053b387
144bac156235
15290629ee8b
hex1749d76e37

100023103031 has 8 divisors (see below), whose sum is σ = 106002851904. Its totient is φ = 94054024960.

The previous prime is 100023103013. The next prime is 100023103073. The reversal of 100023103031 is 130301320001.

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 100023103031 - 26 = 100023102967 is a prime.

It is a super-2 number, since 2×1000231030312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100023102997 and 100023103015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023100031) 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, 2648390 + ... + 2685891.

It is an arithmetic number, because the mean of its divisors is an integer number (13250356488).

Almost surely, 2100023103031 is an apocalyptic number.

100023103031 is a deficient number, since it is larger than the sum of its proper divisors (5979748873).

100023103031 is a wasteful number, since it uses less digits than its factorization.

100023103031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335401.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100023103031 its reverse (130301320001), we get a palindrome (230324423032).

The spelling of 100023103031 in words is "one hundred billion, twenty-three million, one hundred three thousand, thirty-one".

Divisors: 1 17 1103 18751 5334281 90682777 5883711943 100023103031