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31123230320 = 24571315972677
BaseRepresentation
bin11100111111000101…
…101100111001110000
32222100000211220201002
4130333011230321300
51002220021332240
622144154501132
72151156043550
oct347705547160
988300756632
1031123230320
1112221285656
1260471347a8
132c1ccba620
1417136b3160
15c2254cd15
hex73f16ce70

31123230320 has 160 divisors (see below), whose sum is σ = 89149377408. Its totient is φ = 9840144384.

The previous prime is 31123230317. The next prime is 31123230323. The reversal of 31123230320 is 2303232113.

It is an interprime number because it is at equal distance from previous prime (31123230317) and next prime (31123230323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31123230292 and 31123230301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123230323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11624822 + ... + 11627498.

Almost surely, 231123230320 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 31123230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44574688704).

31123230320 is an abundant number, since it is smaller than the sum of its proper divisors (58026147088).

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

31123230320 is a wasteful number, since it uses less digits than its factorization.

31123230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31123230320 its reverse (2303232113), we get a palindrome (33426462433).

The spelling of 31123230320 in words is "thirty-one billion, one hundred twenty-three million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1597 1820 2677 3194 3640 5354 6388 7280 7985 10708 11179 12776 13385 15970 18739 20761 21416 22358 25552 26770 31940 34801 37478 41522 42832 44716 53540 55895 63880 69602 74956 83044 89432 93695 103805 107080 111790 127760 139204 145327 149912 166088 174005 178864 187390 207610 214160 223580 243607 278408 290654 299824 332176 348010 374780 415220 447160 487214 556816 581308 696020 726635 749560 830440 894320 974428 1162616 1218035 1392040 1453270 1499120 1660880 1948856 2325232 2436070 2784080 2906540 3897712 4275169 4872140 5813080 8550338 9744280 11626160 17100676 19488560 21375845 29926183 34201352 42751690 55577197 59852366 68402704 85503380 111154394 119704732 149630915 171006760 222308788 239409464 277885985 299261830 342013520 389040379 444617576 478818928 555771970 598523660 778080758 889235152 1111543940 1197047320 1556161516 1945201895 2223087880 2394094640 3112323032 3890403790 4446175760 6224646064 7780807580 15561615160 31123230320