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12303210040 = 2351143364577
BaseRepresentation
bin10110111010101010…
…00001011000111000
31011202102122211022221
423131111001120320
5200144110210130
65352500253424
7613612363012
oct133525013070
934672584287
1012303210040
115243928890
1224743a1274
131210c17754
14849dc91b2
154c01b587a
hex2dd541638

12303210040 has 64 divisors (see below), whose sum is σ = 30269000160. Its totient is φ = 4463493120.

The previous prime is 12303210037. The next prime is 12303210041. The reversal of 12303210040 is 4001230321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12303209996 and 12303210023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303210041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158232 + ... + 222808.

Almost surely, 212303210040 is an apocalyptic number.

12303210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134500080).

12303210040 is an abundant number, since it is smaller than the sum of its proper divisors (17965790120).

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

12303210040 is a wasteful number, since it uses less digits than its factorization.

12303210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65032 (or 65028 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12303210040 its reverse (4001230321), we get a palindrome (16304440361).

The spelling of 12303210040 in words is "twelve billion, three hundred three million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 433 440 866 1732 2165 3464 4330 4763 8660 9526 17320 19052 23815 38104 47630 64577 95260 129154 190520 258308 322885 516616 645770 710347 1291540 1420694 2583080 2841388 3551735 5682776 7103470 14206940 27961841 28413880 55923682 111847364 139809205 223694728 279618410 307580251 559236820 615160502 1118473640 1230321004 1537901255 2460642008 3075802510 6151605020 12303210040