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31320313002 = 23211237388657
BaseRepresentation
bin11101001010110101…
…100000110010101010
32222211202200202022200
4131022311200302222
51003121000004002
622215515001030
72156101160616
oct351265406252
988752622280
1031320313002
1112312555800
1260a1139176
132c51a92ab4
141731936346
15c349ccb1c
hex74ad60caa

31320313002 has 72 divisors (see below), whose sum is σ = 76606823748. Its totient is φ = 9234466560.

The previous prime is 31320312983. The next prime is 31320313067. The reversal of 31320313002 is 20031302313.

31320313002 is a `hidden beast` number, since 31 + 320 + 313 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30509259561 + 811053441 = 174669^2 + 28479^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113743 + ... + 274914.

Almost surely, 231320313002 is an apocalyptic number.

31320313002 is an abundant number, since it is smaller than the sum of its proper divisors (45286510746).

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

31320313002 is a wasteful number, since it uses less digits than its factorization.

31320313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388724 (or 388710 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31320313002 its reverse (20031302313), we get a palindrome (51351615315).

The spelling of 31320313002 in words is "thirty-one billion, three hundred twenty million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 121 198 222 242 333 363 407 666 726 814 1089 1221 2178 2442 3663 4477 7326 8954 13431 26862 40293 80586 388657 777314 1165971 2331942 3497913 4275227 6995826 8550454 12825681 14380309 25651362 28760618 38477043 43140927 47027497 76954086 86281854 94054994 129422781 141082491 158183399 258845562 282164982 316366798 423247473 474550197 846494946 949100394 1423650591 1740017389 2847301182 3480034778 5220052167 10440104334 15660156501 31320313002