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13120433112024 = 233476434498463
BaseRepresentation
bin1011111011101101011011…
…0000010100001111011000
31201110022010112122111210000
42332323112300110033120
53204431121334041044
643523235504053000
72522630364225150
oct276732660241730
951408115574700
1013120433112024
1141a9387496337
12157a9b2604160
13742336808694
14335064ab1760
1517b45c691d69
hexbeed6c143d8

13120433112024 has 160 divisors (see below), whose sum is σ = 42064597048320. Its totient is φ = 3742864334784.

The previous prime is 13120433112013. The next prime is 13120433112043. The reversal of 13120433112024 is 42021133402131.

13120433112024 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 433 + 1 + 1 + 202 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 667417 + ... + 5165879.

It is an arithmetic number, because the mean of its divisors is an integer number (262903731552).

Almost surely, 213120433112024 is an apocalyptic number.

13120433112024 is a gapful number since it is divisible by the number (14) 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 13120433112024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21032298524160).

13120433112024 is an abundant number, since it is smaller than the sum of its proper divisors (28944163936296).

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

13120433112024 is a wasteful number, since it uses less digits than its factorization.

13120433112024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499131 (or 4499118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13120433112024 its reverse (42021133402131), we get a palindrome (55141566514155).

The spelling of 13120433112024 in words is "thirteen trillion, one hundred twenty billion, four hundred thirty-three million, one hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 643 648 756 1134 1286 1512 1929 2268 2572 3858 4501 4536 5144 5787 7716 9002 11574 13503 15432 17361 18004 23148 27006 34722 36008 40509 46296 52083 54012 69444 81018 104166 108024 121527 138888 162036 208332 243054 324072 364581 416664 486108 729162 972216 1458324 2916648 4498463 8996926 13495389 17993852 26990778 31489241 35987704 40486167 53981556 62978482 80972334 94467723 107963112 121458501 125956964 161944668 188935446 242917002 251913928 283403169 323889336 364375503 377870892 485834004 566806338 728751006 755741784 850209507 971668008 1133612676 1457502012 1700419014 2267225352 2550628521 2892511709 2915004024 3400838028 5101257042 5785023418 6801676056 8677535127 10202514084 11570046836 17355070254 20247581963 20405028168 23140093672 26032605381 34710140508 40495163926 52065210762 60742745889 69420281016 78097816143 80990327852 104130421524 121485491778 156195632286 161980655704 182228237667 208260843048 234293448429 242970983556 312391264572 364456475334 468586896858 485941967112 546684713001 624782529144 728912950668 937173793716 1093369426002 1457825901336 1640054139003 1874347587432 2186738852004 3280108278006 4373477704008 6560216556012 13120433112024