Search a number
-
+
102201210031 = 1136977129631
BaseRepresentation
bin101111100101110101…
…0101011010010101111
3100202210120121101202011
41133023222223102233
53133302002210111
6114541154342051
710245432644314
oct1371352532257
9322716541664
10102201210031
113a385a11848
1217982b8a927
139839875a9b
144d37534d0b
1529d25e5021
hex17cbaab4af

102201210031 has 8 divisors (see below), whose sum is σ = 103121218944. Its totient is φ = 101281474560.

The previous prime is 102201210029. The next prime is 102201210047. The reversal of 102201210031 is 130012102201.

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 102201210031 - 21 = 102201210029 is a prime.

It is a super-2 number, since 2×1022012100312 (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 = 102201209993 and 102201210020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201219031) 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, 723586 + ... + 853216.

It is an arithmetic number, because the mean of its divisors is an integer number (12890152368).

Almost surely, 2102201210031 is an apocalyptic number.

102201210031 is a deficient number, since it is larger than the sum of its proper divisors (920008913).

102201210031 is a wasteful number, since it uses less digits than its factorization.

102201210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136721.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102201210031 its reverse (130012102201), we get a palindrome (232213312232).

The spelling of 102201210031 in words is "one hundred two billion, two hundred one million, two hundred ten thousand, thirty-one".

Divisors: 1 113 6977 129631 788401 14648303 904435487 102201210031