Search a number
-
+
31013320002 = 2372613594817
BaseRepresentation
bin11100111000100010…
…011011010101000010
32222001101000220002120
4130320202123111002
51002003402220002
622125231025110
72145352604400
oct347042332502
988041026076
1031013320002
1112175235385
12601636b196
132c032b7032
141702c62470
15c17a8bcbc
hex73889b542

31013320002 has 96 divisors (see below), whose sum is σ = 73555827840. Its totient is φ = 8689605120.

The previous prime is 31013319977. The next prime is 31013320003. The reversal of 31013320002 is 20002331013.

It is not an unprimeable number, because it can be changed into a prime (31013320003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6435898 + ... + 6440714.

It is an arithmetic number, because the mean of its divisors is an integer number (766206540).

Almost surely, 231013320002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013320002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36777913920).

31013320002 is an abundant number, since it is smaller than the sum of its proper divisors (42542507838).

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

31013320002 is a wasteful number, since it uses less digits than its factorization.

31013320002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 31013320002 its reverse (20002331013), we get a palindrome (51015651015).

The spelling of 31013320002 in words is "thirty-one billion, thirteen million, three hundred twenty thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 61 98 122 147 183 294 359 366 427 718 854 1077 1281 2154 2513 2562 2989 4817 5026 5978 7539 8967 9634 14451 15078 17591 17934 21899 28902 33719 35182 43798 52773 65697 67438 101157 105546 131394 153293 202314 236033 293837 306586 459879 472066 587674 708099 881511 919758 1073051 1416198 1729303 1763022 2056859 2146102 3219153 3458606 4113718 5187909 6170577 6438306 10375818 12105121 12341154 14398013 24210242 28796026 36315363 43194039 72630726 84735847 86388078 105487483 169471694 210974966 254207541 316462449 508415082 632924898 738412381 1476824762 2215237143 4430474286 5168886667 10337773334 15506660001 31013320002