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12313033040 = 24571116312263
BaseRepresentation
bin10110111011110100…
…11111100101010000
31011210010010212221202
423131322133211100
5200204114024130
65353451010332
7614062024340
oct133572374520
934703125852
1012313033040
115249427a70
1224777399a8
131212c76889
1484b424d20
154c0ea6145
hex2dde9f950

12313033040 has 160 divisors (see below), whose sum is σ = 35913701376. Its totient is φ = 3813972480.

The previous prime is 12313033021. The next prime is 12313033043. The reversal of 12313033040 is 4033031321.

It is a super-2 number, since 2×123130330402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313033043) 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, 997949 + ... + 1010211.

Almost surely, 212313033040 is an apocalyptic number.

12313033040 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 12313033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17956850688).

12313033040 is an abundant number, since it is smaller than the sum of its proper divisors (23600668336).

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

12313033040 is a wasteful number, since it uses less digits than its factorization.

12313033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12457 (or 12451 counting only the distinct ones).

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

Adding to 12313033040 its reverse (4033031321), we get a palindrome (16346064361).

The spelling of 12313033040 in words is "twelve billion, three hundred thirteen million, thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 163 176 220 280 308 326 385 440 560 616 652 770 815 880 1141 1232 1304 1540 1630 1793 2282 2608 3080 3260 3586 4564 5705 6160 6520 7172 8965 9128 11410 12263 12551 13040 14344 17930 18256 22820 24526 25102 28688 35860 45640 49052 50204 61315 62755 71720 85841 91280 98104 100408 122630 125510 134893 143440 171682 196208 200816 245260 251020 269786 343364 429205 490520 502040 539572 674465 686728 858410 944251 981040 1004080 1079144 1348930 1373456 1716820 1888502 1998869 2158288 2697860 3433640 3777004 3997738 4721255 5395720 6867280 7554008 7995476 9442510 9994345 10791440 13992083 15108016 15990952 18885020 19988690 21987559 27984166 31981904 37770040 39977380 43975118 55968332 69960415 75540080 79954760 87950236 109937795 111936664 139920830 153912913 159909520 175900472 219875590 223873328 279841660 307825826 351800944 439751180 559683320 615651652 769564565 879502360 1119366640 1231303304 1539129130 1759004720 2462606608 3078258260 6156516520 12313033040