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122003134031 = 1711981599003
BaseRepresentation
bin111000110011111110…
…1000001011001001111
3102122220121102100210202
41301213331001121033
53444330300242111
6132014130324115
711546231346212
oct1614775013117
9378817370722
10122003134031
1147817652399
121b78a72963b
13b6741bb08c
145c953b9779
153290c86b3b
hex1c67f4164f

122003134031 has 8 divisors (see below), whose sum is σ = 129190786704. Its totient is φ = 114816703360.

The previous prime is 122003134003. The next prime is 122003134049. The reversal of 122003134031 is 130431300221.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122003134031 is a prime.

It is a super-2 number, since 2×1220031340312 (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 = 122003133994 and 122003134012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003130031) 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, 95825 + ... + 503178.

It is an arithmetic number, because the mean of its divisors is an integer number (16148848338).

Almost surely, 2122003134031 is an apocalyptic number.

122003134031 is a deficient number, since it is larger than the sum of its proper divisors (7187652673).

122003134031 is a wasteful number, since it uses less digits than its factorization.

122003134031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611001.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122003134031 its reverse (130431300221), we get a palindrome (252434434252).

The spelling of 122003134031 in words is "one hundred twenty-two billion, three million, one hundred thirty-four thousand, thirty-one".

Divisors: 1 17 11981 203677 599003 10183051 7176654943 122003134031