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31303412304 = 24319229314969
BaseRepresentation
bin11101001001110101…
…000010101001010000
32222210120220002220220
4131021311002221100
51003102133143204
622214112433040
72155504420503
oct351165025120
988716802826
1031303412304
1112303a61a8a
126097548780
132c4b426298
14172d5b713a
15c332901d9
hex749d42a50

31303412304 has 80 divisors (see below), whose sum is σ = 85166126400. Its totient is φ = 9880316928.

The previous prime is 31303412299. The next prime is 31303412353. The reversal of 31303412304 is 40321430313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2083732 + ... + 2098700.

It is an arithmetic number, because the mean of its divisors is an integer number (1064576580).

Almost surely, 231303412304 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 31303412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42583063200).

31303412304 is an abundant number, since it is smaller than the sum of its proper divisors (53862714096).

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

31303412304 is a wasteful number, since it uses less digits than its factorization.

31303412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17292 (or 17286 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31303412304 its reverse (40321430313), we get a palindrome (71624842617).

The spelling of 31303412304 in words is "thirty-one billion, three hundred three million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2293 4586 6879 9172 13758 14969 18344 27516 29938 36688 43567 44907 55032 59876 87134 89814 110064 119752 130701 174268 179628 239504 261402 284411 348536 359256 522804 568822 697072 718512 853233 1045608 1137644 1706466 2091216 2275288 3412932 4550576 6825864 13651728 34323917 68647834 102971751 137295668 205943502 274591336 411887004 549182672 652154423 823774008 1304308846 1647548016 1956463269 2608617692 3912926538 5217235384 7825853076 10434470768 15651706152 31303412304