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13032120303120 = 2435317963219971
BaseRepresentation
bin1011110110100100011011…
…1001101011111000010000
31201010212011212111222201210
42331221012321223320100
53202004240244144440
643414512354100120
72513353042565112
oct275510671537020
951125155458653
1013032120303120
114174989189956
12156586687a640
13736c013c9739
14330a87cc33b2
15178ede4d8a80
hexbda46e6be10

13032120303120 has 160 divisors (see below), whose sum is σ = 41708211646464. Its totient is φ = 3362690188800.

The previous prime is 13032120303113. The next prime is 13032120303149. The reversal of 13032120303120 is 2130302123031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59134735 + ... + 59354705.

Almost surely, 213032120303120 is an apocalyptic number.

13032120303120 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 13032120303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20854105823232).

13032120303120 is an abundant number, since it is smaller than the sum of its proper divisors (28676091343344).

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

13032120303120 is a wasteful number, since it uses less digits than its factorization.

13032120303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227981 (or 227975 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13032120303120 its reverse (2130302123031), we get a palindrome (15162422426151).

The spelling of 13032120303120 in words is "thirteen trillion, thirty-two billion, one hundred twenty million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 7963 15926 23889 31852 39815 47778 63704 79630 95556 119445 127408 159260 191112 219971 238890 246853 318520 382224 439942 477780 493706 637040 659913 740559 879884 955560 987412 1099855 1234265 1319826 1481118 1759768 1911120 1974824 2199710 2468530 2639652 2962236 3299565 3519536 3702795 3949648 4399420 4937060 5279304 5924472 6599130 6819101 7405590 8798840 9874120 10558608 11848944 13198260 13638202 14811180 17597680 19748240 20457303 26396520 27276404 29622360 34095505 40914606 52793040 54552808 59244720 68191010 81829212 102286515 109105616 136382020 163658424 204573030 272764040 327316848 409146060 545528080 818292120 1636584240 1751629073 3503258146 5254887219 7006516292 8758145365 10509774438 14013032584 17516290730 21019548876 26274436095 28026065168 35032581460 42039097752 52548872190 54300501263 70065162920 84078195504 105097744380 108601002526 140130325840 162901503789 210195488760 217202005052 271502506315 325803007578 420390977520 434404010104 543005012630 651606015156 814507518945 868808020208 1086010025260 1303212030312 1629015037890 2172020050520 2606424060624 3258030075780 4344040101040 6516060151560 13032120303120