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100122013031 = 1492731246049
BaseRepresentation
bin101110100111110111…
…1001010110101100111
3100120102200020020122212
41131033233022311213
53120022213404111
6113555002114035
710143055032425
oct1351757126547
9316380206585
10100122013031
11395092a2317
12174a27ab91b
139597b8c9c1
144bbb342115
15290ecdb98b
hex174fbcad67

100122013031 has 8 divisors (see below), whose sum is σ = 100831290000. Its totient is φ = 99413233920.

The previous prime is 100122013007. The next prime is 100122013073. The reversal of 100122013031 is 130310221001.

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 100122013031 - 218 = 100121750887 is a prime.

It is a super-2 number, since 2×1001220130312 (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 = 100122012997 and 100122013015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122012031) 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, 283895 + ... + 529943.

It is an arithmetic number, because the mean of its divisors is an integer number (12603911250).

Almost surely, 2100122013031 is an apocalyptic number.

100122013031 is a deficient number, since it is larger than the sum of its proper divisors (709276969).

100122013031 is a wasteful number, since it uses less digits than its factorization.

100122013031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248929.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100122013031 its reverse (130310221001), we get a palindrome (230432234032).

The spelling of 100122013031 in words is "one hundred billion, one hundred twenty-two million, thirteen thousand, thirty-one".

Divisors: 1 149 2731 246049 406919 36661301 671959819 100122013031