Search a number
-
+
31023203202 = 23317173195343
BaseRepresentation
bin11100111001001000…
…001000001110000010
32222002001122000022000
4130321020020032002
51002013420000302
622130222524430
72145532606365
oct347110101602
988061560260
1031023203202
111217a875812
126019736716
132c05367694
1417042b60dc
15c1889031c
hex739208382

31023203202 has 64 divisors (see below), whose sum is σ = 73418088960. Its totient is φ = 9676461312.

The previous prime is 31023203201. The next prime is 31023203207. The reversal of 31023203202 is 20230232013.

It is a happy number.

31023203202 is a `hidden beast` number, since 310 + 2 + 32 + 0 + 320 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31023203201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61143 + ... + 256485.

It is an arithmetic number, because the mean of its divisors is an integer number (1147157640).

Almost surely, 231023203202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31023203202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36709044480).

31023203202 is an abundant number, since it is smaller than the sum of its proper divisors (42394885758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31023203202 is a wasteful number, since it uses less digits than its factorization.

31023203202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195544 (or 195538 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 31023203202 its reverse (20230232013), we get a palindrome (51253435215).

The spelling of 31023203202 in words is "thirty-one billion, twenty-three million, two hundred three thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 173 306 346 459 519 918 1038 1557 2941 3114 4671 5882 8823 9342 17646 26469 52938 79407 158814 195343 390686 586029 1172058 1758087 3320831 3516174 5274261 6641662 9962493 10548522 19924986 29887479 33794339 59774958 67588678 89662437 101383017 179324874 202766034 304149051 574503763 608298102 912447153 1149007526 1723511289 1824894306 3447022578 5170533867 10341067734 15511601601 31023203202