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31350312532 = 22711266113999
BaseRepresentation
bin11101001100100111…
…111100111001010100
32222220212010212221101
4131030213330321110
51003201140000112
622222505555444
72156614155040
oct351447747124
988825125841
1031350312532
1112328485900
1260ab1a5b84
132c580677b6
141735905020
15c37456757
hex74c9fce54

31350312532 has 72 divisors (see below), whose sum is σ = 69028064000. Its totient is φ = 12195057600.

The previous prime is 31350312481. The next prime is 31350312533. The reversal of 31350312532 is 23521305313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 31350312532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31350312533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2232469 + ... + 2246467.

Almost surely, 231350312532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31350312532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34514032000).

31350312532 is an abundant number, since it is smaller than the sum of its proper divisors (37677751468).

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

31350312532 is a wasteful number, since it uses less digits than its factorization.

31350312532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14693 (or 14680 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 28.

Adding to 31350312532 its reverse (23521305313), we get a palindrome (54871617845).

The spelling of 31350312532 in words is "thirty-one billion, three hundred fifty million, three hundred twelve thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 661 847 1322 1694 2644 3388 4627 7271 9254 13999 14542 18508 27998 29084 50897 55996 79981 97993 101794 153989 159962 195986 203588 307978 319924 391972 559867 615956 1077923 1119734 1693879 2155846 2239468 3387758 4311692 6775516 9253339 11857153 18506678 23714306 37013356 47428612 64773373 101786729 129546746 203573458 259093492 407146916 712507103 1119654019 1425014206 2239308038 2850028412 4478616076 7837578133 15675156266 31350312532